summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorNiels Möller <nisse@lysator.liu.se>2014-04-13 21:19:07 +0200
committerNiels Möller <nisse@lysator.liu.se>2014-04-13 21:19:07 +0200
commit9359db6362049debf2f5817f8451af3d38f96df9 (patch)
tree042759a47601ec252d78e307607c8e520ebe32a4
parent877fa24cb842fa6c2354df720c7ed0d562fd3c4a (diff)
downloadnettle-9359db6362049debf2f5817f8451af3d38f96df9.tar.gz
Deleted the nettle_next_prime function.
-rw-r--r--ChangeLog12
-rw-r--r--Makefile.in5
-rw-r--r--NEWS5
-rw-r--r--bignum-next-prime.c169
-rw-r--r--bignum.h4
-rw-r--r--examples/Makefile.in6
-rw-r--r--examples/next-prime.c168
-rw-r--r--prime-list.h656
8 files changed, 20 insertions, 1005 deletions
diff --git a/ChangeLog b/ChangeLog
index f8601618..03d82d2e 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,15 @@
+2014-04-13 Niels Möller <nisse@lysator.liu.se>
+
+ * examples/next-prime.c: Deleted file.
+ * bignum-next-prime.c (nettle_next_prime): Deleted file and
+ function.
+ * prime-list.h: Deleted file.
+ * bignum.h (nettle_next_prime): Deleted prototype.
+ * Makefile.in (hogweed_SOURCES): Deleted bignum-next-prime.c.
+ (DISTFILES): Deleted prime-list.h.
+ * examples/Makefile.in (HOGWEED_TARGETS): Deleted next-prime, and
+ corresponding make target.
+
2014-04-12 Niels Möller <nisse@lysator.liu.se>
* nettle.texinfo (Copyright): Updated licensing info.
diff --git a/Makefile.in b/Makefile.in
index 159bac38..a3e322fd 100644
--- a/Makefile.in
+++ b/Makefile.in
@@ -134,8 +134,7 @@ nettle_SOURCES = aes-decrypt-internal.c aes-decrypt.c \
hogweed_SOURCES = sexp.c sexp-format.c \
sexp-transport.c sexp-transport-format.c \
- bignum.c bignum-next-prime.c \
- bignum-random.c bignum-random-prime.c \
+ bignum.c bignum-random.c bignum-random-prime.c \
sexp2bignum.c \
pkcs1.c pkcs1-encrypt.c pkcs1-decrypt.c \
pkcs1-rsa-digest.c pkcs1-rsa-md5.c pkcs1-rsa-sha1.c \
@@ -203,7 +202,7 @@ DISTFILES = $(SOURCES) $(HEADERS) getopt.h .bootstrap run-tests \
$(des_headers) descore.README \
aes-internal.h camellia-internal.h serpent-internal.h \
cast128_sboxes.h desinfo.h desCode.h \
- nettle-internal.h nettle-write.h prime-list.h \
+ nettle-internal.h nettle-write.h \
gmp-glue.h ecc-internal.h \
mini-gmp.h mini-gmp.c asm.m4 \
nettle.texinfo nettle.info nettle.html nettle.pdf sha-example.c
diff --git a/NEWS b/NEWS
index 04a7138d..dba6c8b0 100644
--- a/NEWS
+++ b/NEWS
@@ -75,6 +75,11 @@ NEWS for the Nettle 3.0 release
changed from uint8_t * to void *, for consistency with
related libc functions.
+ Removed features:
+
+ * The nettle_next_prime function has been deleted.
+ Applications should use GMP's mpz_nextprime instead.
+
Bug fixes:
* Building with ./configure --disable-static now works.
diff --git a/bignum-next-prime.c b/bignum-next-prime.c
deleted file mode 100644
index 2b88e3d2..00000000
--- a/bignum-next-prime.c
+++ /dev/null
@@ -1,169 +0,0 @@
-/* bignum-next-prime.c
-
- Copyright (C) 2002 Niels Möller
-
- This file is part of GNU Nettle.
-
- GNU Nettle is free software: you can redistribute it and/or
- modify it under the terms of either:
-
- * the GNU Lesser General Public License as published by the Free
- Software Foundation; either version 3 of the License, or (at your
- option) any later version.
-
- or
-
- * the GNU General Public License as published by the Free
- Software Foundation; either version 2 of the License, or (at your
- option) any later version.
-
- or both in parallel, as here.
-
- GNU Nettle is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- General Public License for more details.
-
- You should have received copies of the GNU General Public License and
- the GNU Lesser General Public License along with this program. If
- not, see http://www.gnu.org/licenses/.
-*/
-
-#if HAVE_CONFIG_H
-# include "config.h"
-#endif
-
-#include <limits.h>
-/* Needed for alloca on freebsd */
-#include <stdlib.h>
-
-#include "bignum.h"
-#include "gmp-glue.h"
-
-/* From gmp.h */
-/* Test for gcc >= maj.min, as per __GNUC_PREREQ in glibc */
-#if defined (__GNUC__) && defined (__GNUC_MINOR__)
-#define GNUC_PREREQ(maj, min) \
- ((__GNUC__ << 16) + __GNUC_MINOR__ >= ((maj) << 16) + (min))
-#else
-#define GNUC_PREREQ(maj, min) 0
-#endif
-
-#if GNUC_PREREQ (3,0)
-# define UNLIKELY(cond) __builtin_expect ((cond) != 0, 0)
-#else
-# define UNLIKELY(cond) cond
-#endif
-
-/* From some benchmarking using the examples nextprime(200!) and
- nextprime(240!), it seems that it pays off to use a prime list up
- to around 5000--10000 primes. There are 6541 odd primes less than
- 2^16. */
-static const uint16_t primes[] = {
- /* Generated by
-
- ./examples/eratosthenes 65535 \
- | awk '{ if (NR % 10 == 2) printf ("\n"); if (NR > 1) printf("%d, ", $1); }
- END { printf("\n"); }' > prime-list.h
- */
- #include "prime-list.h"
-};
-
-#define NUMBER_OF_PRIMES (sizeof(primes) / sizeof(primes[0]))
-
-#ifdef mpz_millerrabin
-# define PRIME_P mpz_millerrabin
-#else
-# define PRIME_P mpz_probab_prime_p
-#endif
-
-/* NOTE: The mpz_nextprime in current GMP is unoptimized. */
-void
-nettle_next_prime(mpz_t p, mpz_t n, unsigned count, unsigned prime_limit,
- void *progress_ctx, nettle_progress_func *progress)
-{
- mpz_t tmp;
- unsigned difference;
- TMP_GMP_DECL(moduli, unsigned);
-
- if (prime_limit > NUMBER_OF_PRIMES)
- prime_limit = NUMBER_OF_PRIMES;
-
- /* First handle tiny numbers */
- if (mpz_cmp_ui(n, 2) <= 0)
- {
- mpz_set_ui(p, 2);
- return;
- }
- mpz_set(p, n);
- mpz_setbit(p, 0);
-
- if (mpz_cmp_ui(p, 8) < 0)
- return;
-
- mpz_init(tmp);
-
- if (mpz_cmp_ui(p, primes[prime_limit-1]) <= 0)
- /* Use only 3, 5 and 7 */
- /* FIXME: Could do binary search in the table. */
- prime_limit = 3;
-
- /* Compute residues modulo small odd primes */
- /* FIXME: Could be sped up by collecting limb-sized products of the
- primes, to reduce the calls to mpz_fdiv_ui */
-
- /* FIXME: Could also handle the first few primes separately; compute
- the residue mod 15015 = 3 * 7 * 11 * 13, and tabulate the steps
- between the 5760 odd numbers in this interval that have no factor
- in common with 15015.
- */
- TMP_GMP_ALLOC(moduli, prime_limit);
-
- {
- unsigned i;
- for (i = 0; i < prime_limit; i++)
- moduli[i] = mpz_fdiv_ui(p, primes[i]);
- }
-
- for (difference = 0; ; difference += 2)
- {
- int composite = 0;
- unsigned i;
-
- if (difference >= UINT_MAX - 10)
- { /* Should not happen, at least not very often... */
- mpz_add_ui(p, p, difference);
- difference = 0;
- }
-
- /* First check residues */
- for (i = 0; i < prime_limit; i++)
- {
- if (moduli[i] == 0)
- composite = 1;
-
- moduli[i] += 2;
- if (UNLIKELY(moduli[i] >= primes[i]))
- moduli[i] -= primes[i];
- }
- if (composite)
- continue;
-
- mpz_add_ui(p, p, difference);
- difference = 0;
-
- if (progress)
- progress(progress_ctx, '.');
-
- /* Miller-Rabin test */
- if (PRIME_P(p, count))
- break;
-
-#if 0
- if (progress)
- progress(progress_ctx, '*');
-#endif
- }
- mpz_clear(tmp);
- TMP_GMP_FREE(moduli);
-}
diff --git a/bignum.h b/bignum.h
index 9d7f505d..f1c37156 100644
--- a/bignum.h
+++ b/bignum.h
@@ -90,10 +90,6 @@ nettle_mpz_random(mpz_t x,
const mpz_t n);
void
-nettle_next_prime(mpz_t p, mpz_t n, unsigned count, unsigned prime_limit,
- void *progress_ctx, nettle_progress_func *progress);
-
-void
nettle_random_prime(mpz_t p, unsigned bits, int top_bits_set,
void *ctx, nettle_random_func *random,
void *progress_ctx, nettle_progress_func *progress);
diff --git a/examples/Makefile.in b/examples/Makefile.in
index 219e613e..391189e3 100644
--- a/examples/Makefile.in
+++ b/examples/Makefile.in
@@ -15,7 +15,7 @@ BENCH_LIBS = @BENCH_LIBS@ -lm
HOGWEED_TARGETS = rsa-keygen$(EXEEXT) rsa-sign$(EXEEXT) \
rsa-verify$(EXEEXT) rsa-encrypt$(EXEEXT) rsa-decrypt$(EXEEXT) \
- next-prime$(EXEEXT) random-prime$(EXEEXT) \
+ random-prime$(EXEEXT) \
hogweed-benchmark$(EXEEXT) ecc-benchmark$(EXEEXT)
ENC_TARGETS = base16enc$(EXEEXT) base16dec$(EXEEXT) \
@@ -53,10 +53,6 @@ all: $(TARGETS)
( cd .. && $(MAKE) nettle-internal.$(OBJEXT))
# For Solaris and BSD make, we have to use an explicit rule for each executable
-next-prime$(EXEEXT): next-prime.$(OBJEXT) $(GETOPT_OBJS)
- $(LINK) next-prime.$(OBJEXT) $(GETOPT_OBJS) \
- -lhogweed -lnettle $(LIBS) -o next-prime$(EXEEXT)
-
random-prime$(EXEEXT): random-prime.$(OBJEXT) io.$(OBJEXT) $(GETOPT_OBJS)
$(LINK) random-prime.$(OBJEXT) io.$(OBJEXT) $(GETOPT_OBJS) \
-lhogweed -lnettle $(LIBS) -o random-prime$(EXEEXT)
diff --git a/examples/next-prime.c b/examples/next-prime.c
deleted file mode 100644
index 41f3be1a..00000000
--- a/examples/next-prime.c
+++ /dev/null
@@ -1,168 +0,0 @@
-/* next-prime.c
-
- Command line tool for prime search.
-
- Copyright (C) 2007 Niels Möller
-
- This file is part of GNU Nettle.
-
- GNU Nettle is free software: you can redistribute it and/or
- modify it under the terms of either:
-
- * the GNU Lesser General Public License as published by the Free
- Software Foundation; either version 3 of the License, or (at your
- option) any later version.
-
- or
-
- * the GNU General Public License as published by the Free
- Software Foundation; either version 2 of the License, or (at your
- option) any later version.
-
- or both in parallel, as here.
-
- GNU Nettle is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- General Public License for more details.
-
- You should have received copies of the GNU General Public License and
- the GNU Lesser General Public License along with this program. If
- not, see http://www.gnu.org/licenses/.
-*/
-
-#if HAVE_CONFIG_H
-# include "config.h"
-#endif
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <time.h>
-
-#include "bignum.h"
-
-#include "getopt.h"
-
-static void
-usage(void)
-{
- fprintf(stderr, "Usage: next-prime [OPTIONS] number\n\n"
- "Options:\n"
- " --help Display this message.\n"
- " -v, --verbose Display timing information.\n"
- " --factorial Use factorial of input number.\n"
- " -s --sieve-limit Number of primes to use for sieving.\n");
-}
-
-int
-main(int argc, char **argv)
-{
- mpz_t n;
- mpz_t p;
-
- int c;
- int verbose = 0;
- int factorial = 0;
- int prime_limit = 200;
-
- clock_t start;
- clock_t end;
-
- enum { OPT_HELP = 300 };
-
- static const struct option options[] =
- {
- /* Name, args, flag, val */
- { "help", no_argument, NULL, OPT_HELP },
- { "verbose", no_argument, NULL, 'v' },
- { "factorial", no_argument, NULL, 'f' },
- { "sieve-limit", required_argument, NULL, 's' },
- { NULL, 0, NULL, 0}
- };
-
- while ( (c = getopt_long(argc, argv, "vs:", options, NULL)) != -1)
- switch (c)
- {
- case 'v':
- verbose = 1;
- break;
- case OPT_HELP:
- usage();
- return EXIT_SUCCESS;
- case 'f':
- factorial = 1;
- break;
- case 's':
- prime_limit = atoi(optarg);
- if (prime_limit < 0)
- {
- usage();
- return EXIT_FAILURE;
- }
- break;
- case '?':
- return EXIT_FAILURE;
- default:
- abort();
-
- }
-
- argc -= optind;
- argv += optind;
-
- if (argc != 1)
- {
- usage();
- return EXIT_FAILURE;
- }
-
- mpz_init(n);
-
- if (factorial)
- {
- long arg;
- char *end;
- arg = strtol(argv[0], &end, 0);
- if (*end || arg < 0)
- {
- fprintf(stderr, "Invalid number.\n");
- return EXIT_FAILURE;
- }
- mpz_fac_ui(n, arg);
- }
- else if (mpz_set_str(n, argv[0], 0))
- {
- fprintf(stderr, "Invalid number.\n");
- return EXIT_FAILURE;
- }
-
- if (mpz_cmp_ui(n, 2) <= 0)
- {
- printf("2\n");
- return EXIT_SUCCESS;
- }
-
- mpz_init(p);
-
- start = clock();
- nettle_next_prime(p, n, 25, prime_limit, NULL, NULL);
- end = clock();
-
- mpz_out_str(stdout, 10, p);
- printf("\n");
-
- if (verbose)
- {
- mpz_t d;
-
- mpz_init(d);
- mpz_sub(d, p, n);
-
- /* Avoid using gmp_fprintf, to stay compatible with gmp-3.1. */
- fprintf(stderr, "bit size: %lu, diff: ", (unsigned long) mpz_sizeinbase(p, 2));
- mpz_out_str(stderr, 10, d);
- fprintf(stderr, ", total time: %.3g s\n",
- (double)(end - start) / CLOCKS_PER_SEC);
- }
- return EXIT_SUCCESS;
-}
diff --git a/prime-list.h b/prime-list.h
deleted file mode 100644
index 36459263..00000000
--- a/prime-list.h
+++ /dev/null
@@ -1,656 +0,0 @@
-
-3, 5, 7, 11, 13, 17, 19, 23, 29, 31,
-37, 41, 43, 47, 53, 59, 61, 67, 71, 73,
-79, 83, 89, 97, 101, 103, 107, 109, 113, 127,
-131, 137, 139, 149, 151, 157, 163, 167, 173, 179,
-181, 191, 193, 197, 199, 211, 223, 227, 229, 233,
-239, 241, 251, 257, 263, 269, 271, 277, 281, 283,
-293, 307, 311, 313, 317, 331, 337, 347, 349, 353,
-359, 367, 373, 379, 383, 389, 397, 401, 409, 419,
-421, 431, 433, 439, 443, 449, 457, 461, 463, 467,
-479, 487, 491, 499, 503, 509, 521, 523, 541, 547,
-557, 563, 569, 571, 577, 587, 593, 599, 601, 607,
-613, 617, 619, 631, 641, 643, 647, 653, 659, 661,
-673, 677, 683, 691, 701, 709, 719, 727, 733, 739,
-743, 751, 757, 761, 769, 773, 787, 797, 809, 811,
-821, 823, 827, 829, 839, 853, 857, 859, 863, 877,
-881, 883, 887, 907, 911, 919, 929, 937, 941, 947,
-953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019,
-1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087,
-1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153,
-1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229,
-1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297,
-1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381,
-1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453,
-1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523,
-1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597,
-1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663,
-1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741,
-1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823,
-1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901,
-1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993,
-1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063,
-2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131,
-2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221,
-2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293,
-2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371,
-2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437,
-2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539,
-2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621,
-2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689,
-2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749,
-2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833,
-2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909,
-2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001,
-3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083,
-3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187,
-3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259,
-3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343,
-3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433,
-3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517,
-3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581,
-3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659,
-3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733,
-3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823,
-3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911,
-3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001,
-4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073,
-4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153,
-4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241,
-4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327,
-4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421,
-4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507,
-4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591,
-4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663,
-4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759,
-4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861,
-4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943,
-4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009,
-5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099,
-5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189,
-5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281,
-5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393,
-5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449,
-5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527,
-5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641,
-5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701,
-5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801,
-5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861,
-5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953,
-5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067,
-6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143,
-6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229,
-6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311,
-6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373,
-6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481,
-6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577,
-6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679,
-6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763,
-6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841,
-6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947,
-6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001,
-7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109,
-7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211,
-7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307,
-7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417,
-7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507,
-7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573,
-7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649,
-7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727,
-7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841,
-7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927,
-7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039,
-8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117,
-8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221,
-8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293,
-8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389,
-8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513,
-8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599,
-8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681,
-8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747,
-8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837,
-8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933,
-8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013,
-9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127,
-9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203,
-9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293,
-9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391,
-9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461,
-9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539,
-9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643,
-9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739,
-9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817,
-9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901,
-9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009,
-10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103,
-10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181,
-10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273,
-10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357,
-10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463,
-10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589,
-10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663,
-10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753,
-10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861,
-10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957,
-10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069,
-11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159,
-11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257,
-11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351,
-11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 11447,
-11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549,
-11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677,
-11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 11779,
-11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839,
-11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939,
-11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037,
-12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113,
-12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227,
-12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301,
-12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409,
-12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491,
-12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569,
-12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647,
-12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743,
-12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841,
-12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941,
-12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009,
-13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121,
-13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217,
-13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313,
-13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417,
-13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513,
-13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627,
-13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 13709,
-13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 13789,
-13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 13883,
-13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997,
-13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083,
-14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207,
-14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327,
-14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423,
-14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 14533,
-14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, 14621,
-14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 14713,
-14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 14771,
-14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, 14867,
-14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 14951,
-14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077,
-15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161,
-15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263,
-15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329,
-15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 15413,
-15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 15511,
-15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 15619,
-15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, 15683,
-15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 15787,
-15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 15887,
-15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 15973,
-15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073,
-16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187,
-16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273,
-16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411,
-16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487,
-16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 16607,
-16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, 16693,
-16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, 16823,
-16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903, 16921,
-16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 17011,
-17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 17099,
-17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 17203,
-17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321,
-17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393,
-17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483,
-17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, 17579,
-17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, 17681,
-17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 17789,
-17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, 17903,
-17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, 17977,
-17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, 18061,
-18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 18149,
-18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251,
-18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329,
-18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433,
-18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521,
-18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637, 18661,
-18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, 18757,
-18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, 18911,
-18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 19013,
-19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, 19139,
-19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 19231,
-19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 19333,
-19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427,
-19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483,
-19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577,
-19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709,
-19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801,
-19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, 19913,
-19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, 19993,
-19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, 20089,
-20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, 20161,
-20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 20269,
-20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 20359,
-20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 20477,
-20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563,
-20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707,
-20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773,
-20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, 20899,
-20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 21001,
-21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067, 21089,
-21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169, 21179,
-21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277, 21283,
-21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383, 21391,
-21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 21493,
-21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569,
-21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 21649,
-21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 21757,
-21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841, 21851,
-21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943, 21961,
-21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, 22051,
-22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 22129,
-22133, 22147, 22153, 22157, 22159, 22171, 22189, 22193, 22229, 22247,
-22259, 22271, 22273, 22277, 22279, 22283, 22291, 22303, 22307, 22343,
-22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 22441, 22447,
-22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, 22549,
-22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, 22651,
-22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, 22739,
-22741, 22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817, 22853,
-22859, 22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943, 22961,
-22963, 22973, 22993, 23003, 23011, 23017, 23021, 23027, 23029, 23039,
-23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099, 23117,
-23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203, 23209,
-23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, 23327,
-23333, 23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447, 23459,
-23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561, 23563,
-23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, 23633,
-23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, 23747,
-23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 23831,
-23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 23911,
-23917, 23929, 23957, 23971, 23977, 23981, 23993, 24001, 24007, 24019,
-24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091, 24097,
-24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169, 24179,
-24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281, 24317,
-24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413, 24419,
-24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, 24527,
-24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 24659, 24671,
-24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, 24781,
-24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, 24889,
-24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 24979,
-24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, 25111,
-25117, 25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183, 25189,
-25219, 25229, 25237, 25243, 25247, 25253, 25261, 25301, 25303, 25307,
-25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391, 25409,
-25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469, 25471, 25523,
-25537, 25541, 25561, 25577, 25579, 25583, 25589, 25601, 25603, 25609,
-25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693, 25703,
-25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799, 25801,
-25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913, 25919,
-25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999, 26003,
-26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111, 26113,
-26119, 26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, 26209,
-26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297, 26309,
-26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399, 26407,
-26417, 26423, 26431, 26437, 26449, 26459, 26479, 26489, 26497, 26501,
-26513, 26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633, 26641,
-26647, 26669, 26681, 26683, 26687, 26693, 26699, 26701, 26711, 26713,
-26717, 26723, 26729, 26731, 26737, 26759, 26777, 26783, 26801, 26813,
-26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891, 26893,
-26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 26993,
-27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 27091,
-27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, 27239,
-27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, 27337,
-27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449, 27457,
-27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551, 27581,
-27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691, 27697,
-27701, 27733, 27737, 27739, 27743, 27749, 27751, 27763, 27767, 27773,
-27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827, 27847,
-27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947, 27953,
-27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051, 28057,
-28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, 28163,
-28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 28289,
-28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403, 28409,
-28411, 28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499, 28513,
-28517, 28537, 28541, 28547, 28549, 28559, 28571, 28573, 28579, 28591,
-28597, 28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649, 28657,
-28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729, 28751,
-28753, 28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837, 28843,
-28859, 28867, 28871, 28879, 28901, 28909, 28921, 28927, 28933, 28949,
-28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059, 29063,
-29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 29167, 29173,
-29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251, 29269,
-29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, 29383,
-29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 29453,
-29473, 29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573, 29581,
-29587, 29599, 29611, 29629, 29633, 29641, 29663, 29669, 29671, 29683,
-29717, 29723, 29741, 29753, 29759, 29761, 29789, 29803, 29819, 29833,
-29837, 29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921, 29927,
-29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059, 30071,
-30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137, 30139,
-30161, 30169, 30181, 30187, 30197, 30203, 30211, 30223, 30241, 30253,
-30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341, 30347,
-30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469, 30491,
-30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559, 30577,
-30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, 30697,
-30703, 30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 30809,
-30817, 30829, 30839, 30841, 30851, 30853, 30859, 30869, 30871, 30881,
-30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983, 31013,
-31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081, 31091, 31121,
-31123, 31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183, 31189,
-31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259, 31267,
-31271, 31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357, 31379,
-31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 31511, 31513,
-31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, 31607,
-31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721, 31723,
-31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817, 31847,
-31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973, 31981,
-31991, 32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063, 32069,
-32077, 32083, 32089, 32099, 32117, 32119, 32141, 32143, 32159, 32173,
-32183, 32189, 32191, 32203, 32213, 32233, 32237, 32251, 32257, 32261,
-32297, 32299, 32303, 32309, 32321, 32323, 32327, 32341, 32353, 32359,
-32363, 32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423, 32429,
-32441, 32443, 32467, 32479, 32491, 32497, 32503, 32507, 32531, 32533,
-32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 32609, 32611,
-32621, 32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717, 32719,
-32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831, 32833,
-32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933, 32939, 32941,
-32957, 32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023, 33029,
-33037, 33049, 33053, 33071, 33073, 33083, 33091, 33107, 33113, 33119,
-33149, 33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211, 33223,
-33247, 33287, 33289, 33301, 33311, 33317, 33329, 33331, 33343, 33347,
-33349, 33353, 33359, 33377, 33391, 33403, 33409, 33413, 33427, 33457,
-33461, 33469, 33479, 33487, 33493, 33503, 33521, 33529, 33533, 33547,
-33563, 33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613, 33617,
-33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 33713, 33721,
-33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797, 33809,
-33811, 33827, 33829, 33851, 33857, 33863, 33871, 33889, 33893, 33911,
-33923, 33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031, 34033,
-34039, 34057, 34061, 34123, 34127, 34129, 34141, 34147, 34157, 34159,
-34171, 34183, 34211, 34213, 34217, 34231, 34253, 34259, 34261, 34267,
-34273, 34283, 34297, 34301, 34303, 34313, 34319, 34327, 34337, 34351,
-34361, 34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457, 34469,
-34471, 34483, 34487, 34499, 34501, 34511, 34513, 34519, 34537, 34543,
-34549, 34583, 34589, 34591, 34603, 34607, 34613, 34631, 34649, 34651,
-34667, 34673, 34679, 34687, 34693, 34703, 34721, 34729, 34739, 34747,
-34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847, 34849,
-34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961, 34963,
-34981, 35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083, 35089,
-35099, 35107, 35111, 35117, 35129, 35141, 35149, 35153, 35159, 35171,
-35201, 35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291, 35311,
-35317, 35323, 35327, 35339, 35353, 35363, 35381, 35393, 35401, 35407,
-35419, 35423, 35437, 35447, 35449, 35461, 35491, 35507, 35509, 35521,
-35527, 35531, 35533, 35537, 35543, 35569, 35573, 35591, 35593, 35597,
-35603, 35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759, 35771,
-35797, 35801, 35803, 35809, 35831, 35837, 35839, 35851, 35863, 35869,
-35879, 35897, 35899, 35911, 35923, 35933, 35951, 35963, 35969, 35977,
-35983, 35993, 35999, 36007, 36011, 36013, 36017, 36037, 36061, 36067,
-36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161, 36187,
-36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277, 36293,
-36299, 36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383, 36389,
-36433, 36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497, 36523,
-36527, 36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587, 36599,
-36607, 36629, 36637, 36643, 36653, 36671, 36677, 36683, 36691, 36697,
-36709, 36713, 36721, 36739, 36749, 36761, 36767, 36779, 36781, 36787,
-36791, 36793, 36809, 36821, 36833, 36847, 36857, 36871, 36877, 36887,
-36899, 36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947, 36973,
-36979, 36997, 37003, 37013, 37019, 37021, 37039, 37049, 37057, 37061,
-37087, 37097, 37117, 37123, 37139, 37159, 37171, 37181, 37189, 37199,
-37201, 37217, 37223, 37243, 37253, 37273, 37277, 37307, 37309, 37313,
-37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397, 37409,
-37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507, 37511,
-37517, 37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573, 37579,
-37589, 37591, 37607, 37619, 37633, 37643, 37649, 37657, 37663, 37691,
-37693, 37699, 37717, 37747, 37781, 37783, 37799, 37811, 37813, 37831,
-37847, 37853, 37861, 37871, 37879, 37889, 37897, 37907, 37951, 37957,
-37963, 37967, 37987, 37991, 37993, 37997, 38011, 38039, 38047, 38053,
-38069, 38083, 38113, 38119, 38149, 38153, 38167, 38177, 38183, 38189,
-38197, 38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281, 38287,
-38299, 38303, 38317, 38321, 38327, 38329, 38333, 38351, 38371, 38377,
-38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543, 38557,
-38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629, 38639, 38651,
-38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713, 38723,
-38729, 38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821, 38833,
-38839, 38851, 38861, 38867, 38873, 38891, 38903, 38917, 38921, 38923,
-38933, 38953, 38959, 38971, 38977, 38993, 39019, 39023, 39041, 39043,
-39047, 39079, 39089, 39097, 39103, 39107, 39113, 39119, 39133, 39139,
-39157, 39161, 39163, 39181, 39191, 39199, 39209, 39217, 39227, 39229,
-39233, 39239, 39241, 39251, 39293, 39301, 39313, 39317, 39323, 39341,
-39343, 39359, 39367, 39371, 39373, 39383, 39397, 39409, 39419, 39439,
-39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541, 39551,
-39563, 39569, 39581, 39607, 39619, 39623, 39631, 39659, 39667, 39671,
-39679, 39703, 39709, 39719, 39727, 39733, 39749, 39761, 39769, 39779,
-39791, 39799, 39821, 39827, 39829, 39839, 39841, 39847, 39857, 39863,
-39869, 39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971, 39979,
-39983, 39989, 40009, 40013, 40031, 40037, 40039, 40063, 40087, 40093,
-40099, 40111, 40123, 40127, 40129, 40151, 40153, 40163, 40169, 40177,
-40189, 40193, 40213, 40231, 40237, 40241, 40253, 40277, 40283, 40289,
-40343, 40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433, 40459,
-40471, 40483, 40487, 40493, 40499, 40507, 40519, 40529, 40531, 40543,
-40559, 40577, 40583, 40591, 40597, 40609, 40627, 40637, 40639, 40693,
-40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 40787, 40801,
-40813, 40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867, 40879,
-40883, 40897, 40903, 40927, 40933, 40939, 40949, 40961, 40973, 40993,
-41011, 41017, 41023, 41039, 41047, 41051, 41057, 41077, 41081, 41113,
-41117, 41131, 41141, 41143, 41149, 41161, 41177, 41179, 41183, 41189,
-41201, 41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257, 41263,
-41269, 41281, 41299, 41333, 41341, 41351, 41357, 41381, 41387, 41389,
-41399, 41411, 41413, 41443, 41453, 41467, 41479, 41491, 41507, 41513,
-41519, 41521, 41539, 41543, 41549, 41579, 41593, 41597, 41603, 41609,
-41611, 41617, 41621, 41627, 41641, 41647, 41651, 41659, 41669, 41681,
-41687, 41719, 41729, 41737, 41759, 41761, 41771, 41777, 41801, 41809,
-41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 41897, 41903,
-41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981, 41983,
-41999, 42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073, 42083,
-42089, 42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187, 42193,
-42197, 42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283, 42293,
-42299, 42307, 42323, 42331, 42337, 42349, 42359, 42373, 42379, 42391,
-42397, 42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457, 42461,
-42463, 42467, 42473, 42487, 42491, 42499, 42509, 42533, 42557, 42569,
-42571, 42577, 42589, 42611, 42641, 42643, 42649, 42667, 42677, 42683,
-42689, 42697, 42701, 42703, 42709, 42719, 42727, 42737, 42743, 42751,
-42767, 42773, 42787, 42793, 42797, 42821, 42829, 42839, 42841, 42853,
-42859, 42863, 42899, 42901, 42923, 42929, 42937, 42943, 42953, 42961,
-42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051, 43063,
-43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189, 43201,
-43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319, 43321,
-43331, 43391, 43397, 43399, 43403, 43411, 43427, 43441, 43451, 43457,
-43481, 43487, 43499, 43517, 43541, 43543, 43573, 43577, 43579, 43591,
-43597, 43607, 43609, 43613, 43627, 43633, 43649, 43651, 43661, 43669,
-43691, 43711, 43717, 43721, 43753, 43759, 43777, 43781, 43783, 43787,
-43789, 43793, 43801, 43853, 43867, 43889, 43891, 43913, 43933, 43943,
-43951, 43961, 43963, 43969, 43973, 43987, 43991, 43997, 44017, 44021,
-44027, 44029, 44041, 44053, 44059, 44071, 44087, 44089, 44101, 44111,
-44119, 44123, 44129, 44131, 44159, 44171, 44179, 44189, 44201, 44203,
-44207, 44221, 44249, 44257, 44263, 44267, 44269, 44273, 44279, 44281,
-44293, 44351, 44357, 44371, 44381, 44383, 44389, 44417, 44449, 44453,
-44483, 44491, 44497, 44501, 44507, 44519, 44531, 44533, 44537, 44543,
-44549, 44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641, 44647,
-44651, 44657, 44683, 44687, 44699, 44701, 44711, 44729, 44741, 44753,
-44771, 44773, 44777, 44789, 44797, 44809, 44819, 44839, 44843, 44851,
-44867, 44879, 44887, 44893, 44909, 44917, 44927, 44939, 44953, 44959,
-44963, 44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077, 45083,
-45119, 45121, 45127, 45131, 45137, 45139, 45161, 45179, 45181, 45191,
-45197, 45233, 45247, 45259, 45263, 45281, 45289, 45293, 45307, 45317,
-45319, 45329, 45337, 45341, 45343, 45361, 45377, 45389, 45403, 45413,
-45427, 45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533, 45541,
-45553, 45557, 45569, 45587, 45589, 45599, 45613, 45631, 45641, 45659,
-45667, 45673, 45677, 45691, 45697, 45707, 45737, 45751, 45757, 45763,
-45767, 45779, 45817, 45821, 45823, 45827, 45833, 45841, 45853, 45863,
-45869, 45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979, 45989,
-46021, 46027, 46049, 46051, 46061, 46073, 46091, 46093, 46099, 46103,
-46133, 46141, 46147, 46153, 46171, 46181, 46183, 46187, 46199, 46219,
-46229, 46237, 46261, 46271, 46273, 46279, 46301, 46307, 46309, 46327,
-46337, 46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447, 46451,
-46457, 46471, 46477, 46489, 46499, 46507, 46511, 46523, 46549, 46559,
-46567, 46573, 46589, 46591, 46601, 46619, 46633, 46639, 46643, 46649,
-46663, 46679, 46681, 46687, 46691, 46703, 46723, 46727, 46747, 46751,
-46757, 46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831, 46853,
-46861, 46867, 46877, 46889, 46901, 46919, 46933, 46957, 46993, 46997,
-47017, 47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119, 47123,
-47129, 47137, 47143, 47147, 47149, 47161, 47189, 47207, 47221, 47237,
-47251, 47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317, 47339,
-47351, 47353, 47363, 47381, 47387, 47389, 47407, 47417, 47419, 47431,
-47441, 47459, 47491, 47497, 47501, 47507, 47513, 47521, 47527, 47533,
-47543, 47563, 47569, 47581, 47591, 47599, 47609, 47623, 47629, 47639,
-47653, 47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717, 47737,
-47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 47819, 47837,
-47843, 47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939, 47947,
-47951, 47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049, 48073,
-48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179, 48187,
-48193, 48197, 48221, 48239, 48247, 48259, 48271, 48281, 48299, 48311,
-48313, 48337, 48341, 48353, 48371, 48383, 48397, 48407, 48409, 48413,
-48437, 48449, 48463, 48473, 48479, 48481, 48487, 48491, 48497, 48523,
-48527, 48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611, 48619,
-48623, 48647, 48649, 48661, 48673, 48677, 48679, 48731, 48733, 48751,
-48757, 48761, 48767, 48779, 48781, 48787, 48799, 48809, 48817, 48821,
-48823, 48847, 48857, 48859, 48869, 48871, 48883, 48889, 48907, 48947,
-48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033, 49037,
-49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123, 49139,
-49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211, 49223,
-49253, 49261, 49277, 49279, 49297, 49307, 49331, 49333, 49339, 49363,
-49367, 49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433, 49451,
-49459, 49463, 49477, 49481, 49499, 49523, 49529, 49531, 49537, 49547,
-49549, 49559, 49597, 49603, 49613, 49627, 49633, 49639, 49663, 49667,
-49669, 49681, 49697, 49711, 49727, 49739, 49741, 49747, 49757, 49783,
-49787, 49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853, 49871,
-49877, 49891, 49919, 49921, 49927, 49937, 49939, 49943, 49957, 49991,
-49993, 49999, 50021, 50023, 50033, 50047, 50051, 50053, 50069, 50077,
-50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131, 50147, 50153,
-50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273, 50287,
-50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377, 50383,
-50387, 50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503, 50513,
-50527, 50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593, 50599,
-50627, 50647, 50651, 50671, 50683, 50707, 50723, 50741, 50753, 50767,
-50773, 50777, 50789, 50821, 50833, 50839, 50849, 50857, 50867, 50873,
-50891, 50893, 50909, 50923, 50929, 50951, 50957, 50969, 50971, 50989,
-50993, 51001, 51031, 51043, 51047, 51059, 51061, 51071, 51109, 51131,
-51133, 51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203, 51217,
-51229, 51239, 51241, 51257, 51263, 51283, 51287, 51307, 51329, 51341,
-51343, 51347, 51349, 51361, 51383, 51407, 51413, 51419, 51421, 51427,
-51431, 51437, 51439, 51449, 51461, 51473, 51479, 51481, 51487, 51503,
-51511, 51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593, 51599,
-51607, 51613, 51631, 51637, 51647, 51659, 51673, 51679, 51683, 51691,
-51713, 51719, 51721, 51749, 51767, 51769, 51787, 51797, 51803, 51817,
-51827, 51829, 51839, 51853, 51859, 51869, 51871, 51893, 51899, 51907,
-51913, 51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009, 52021,
-52027, 52051, 52057, 52067, 52069, 52081, 52103, 52121, 52127, 52147,
-52153, 52163, 52177, 52181, 52183, 52189, 52201, 52223, 52237, 52249,
-52253, 52259, 52267, 52289, 52291, 52301, 52313, 52321, 52361, 52363,
-52369, 52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501, 52511,
-52517, 52529, 52541, 52543, 52553, 52561, 52567, 52571, 52579, 52583,
-52609, 52627, 52631, 52639, 52667, 52673, 52691, 52697, 52709, 52711,
-52721, 52727, 52733, 52747, 52757, 52769, 52783, 52807, 52813, 52817,
-52837, 52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919, 52937,
-52951, 52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017, 53047,
-53051, 53069, 53077, 53087, 53089, 53093, 53101, 53113, 53117, 53129,
-53147, 53149, 53161, 53171, 53173, 53189, 53197, 53201, 53231, 53233,
-53239, 53267, 53269, 53279, 53281, 53299, 53309, 53323, 53327, 53353,
-53359, 53377, 53381, 53401, 53407, 53411, 53419, 53437, 53441, 53453,
-53479, 53503, 53507, 53527, 53549, 53551, 53569, 53591, 53593, 53597,
-53609, 53611, 53617, 53623, 53629, 53633, 53639, 53653, 53657, 53681,
-53693, 53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783, 53791,
-53813, 53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891, 53897,
-53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993, 54001,
-54011, 54013, 54037, 54049, 54059, 54083, 54091, 54101, 54121, 54133,
-54139, 54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269, 54277,
-54287, 54293, 54311, 54319, 54323, 54331, 54347, 54361, 54367, 54371,
-54377, 54401, 54403, 54409, 54413, 54419, 54421, 54437, 54443, 54449,
-54469, 54493, 54497, 54499, 54503, 54517, 54521, 54539, 54541, 54547,
-54559, 54563, 54577, 54581, 54583, 54601, 54617, 54623, 54629, 54631,
-54647, 54667, 54673, 54679, 54709, 54713, 54721, 54727, 54751, 54767,
-54773, 54779, 54787, 54799, 54829, 54833, 54851, 54869, 54877, 54881,
-54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979, 54983, 55001,
-55009, 55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103, 55109,
-55117, 55127, 55147, 55163, 55171, 55201, 55207, 55213, 55217, 55219,
-55229, 55243, 55249, 55259, 55291, 55313, 55331, 55333, 55337, 55339,
-55343, 55351, 55373, 55381, 55399, 55411, 55439, 55441, 55457, 55469,
-55487, 55501, 55511, 55529, 55541, 55547, 55579, 55589, 55603, 55609,
-55619, 55621, 55631, 55633, 55639, 55661, 55663, 55667, 55673, 55681,
-55691, 55697, 55711, 55717, 55721, 55733, 55763, 55787, 55793, 55799,
-55807, 55813, 55817, 55819, 55823, 55829, 55837, 55843, 55849, 55871,
-55889, 55897, 55901, 55903, 55921, 55927, 55931, 55933, 55949, 55967,
-55987, 55997, 56003, 56009, 56039, 56041, 56053, 56081, 56087, 56093,
-56099, 56101, 56113, 56123, 56131, 56149, 56167, 56171, 56179, 56197,
-56207, 56209, 56237, 56239, 56249, 56263, 56267, 56269, 56299, 56311,
-56333, 56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431, 56437,
-56443, 56453, 56467, 56473, 56477, 56479, 56489, 56501, 56503, 56509,
-56519, 56527, 56531, 56533, 56543, 56569, 56591, 56597, 56599, 56611,
-56629, 56633, 56659, 56663, 56671, 56681, 56687, 56701, 56711, 56713,
-56731, 56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809, 56813,
-56821, 56827, 56843, 56857, 56873, 56891, 56893, 56897, 56909, 56911,
-56921, 56923, 56929, 56941, 56951, 56957, 56963, 56983, 56989, 56993,
-56999, 57037, 57041, 57047, 57059, 57073, 57077, 57089, 57097, 57107,
-57119, 57131, 57139, 57143, 57149, 57163, 57173, 57179, 57191, 57193,
-57203, 57221, 57223, 57241, 57251, 57259, 57269, 57271, 57283, 57287,
-57301, 57329, 57331, 57347, 57349, 57367, 57373, 57383, 57389, 57397,
-57413, 57427, 57457, 57467, 57487, 57493, 57503, 57527, 57529, 57557,
-57559, 57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653, 57667,
-57679, 57689, 57697, 57709, 57713, 57719, 57727, 57731, 57737, 57751,
-57773, 57781, 57787, 57791, 57793, 57803, 57809, 57829, 57839, 57847,
-57853, 57859, 57881, 57899, 57901, 57917, 57923, 57943, 57947, 57973,
-57977, 57991, 58013, 58027, 58031, 58043, 58049, 58057, 58061, 58067,
-58073, 58099, 58109, 58111, 58129, 58147, 58151, 58153, 58169, 58171,
-58189, 58193, 58199, 58207, 58211, 58217, 58229, 58231, 58237, 58243,
-58271, 58309, 58313, 58321, 58337, 58363, 58367, 58369, 58379, 58391,
-58393, 58403, 58411, 58417, 58427, 58439, 58441, 58451, 58453, 58477,
-58481, 58511, 58537, 58543, 58549, 58567, 58573, 58579, 58601, 58603,
-58613, 58631, 58657, 58661, 58679, 58687, 58693, 58699, 58711, 58727,
-58733, 58741, 58757, 58763, 58771, 58787, 58789, 58831, 58889, 58897,
-58901, 58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967, 58979,
-58991, 58997, 59009, 59011, 59021, 59023, 59029, 59051, 59053, 59063,
-59069, 59077, 59083, 59093, 59107, 59113, 59119, 59123, 59141, 59149,
-59159, 59167, 59183, 59197, 59207, 59209, 59219, 59221, 59233, 59239,
-59243, 59263, 59273, 59281, 59333, 59341, 59351, 59357, 59359, 59369,
-59377, 59387, 59393, 59399, 59407, 59417, 59419, 59441, 59443, 59447,
-59453, 59467, 59471, 59473, 59497, 59509, 59513, 59539, 59557, 59561,
-59567, 59581, 59611, 59617, 59621, 59627, 59629, 59651, 59659, 59663,
-59669, 59671, 59693, 59699, 59707, 59723, 59729, 59743, 59747, 59753,
-59771, 59779, 59791, 59797, 59809, 59833, 59863, 59879, 59887, 59921,
-59929, 59951, 59957, 59971, 59981, 59999, 60013, 60017, 60029, 60037,
-60041, 60077, 60083, 60089, 60091, 60101, 60103, 60107, 60127, 60133,
-60139, 60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251, 60257,
-60259, 60271, 60289, 60293, 60317, 60331, 60337, 60343, 60353, 60373,
-60383, 60397, 60413, 60427, 60443, 60449, 60457, 60493, 60497, 60509,
-60521, 60527, 60539, 60589, 60601, 60607, 60611, 60617, 60623, 60631,
-60637, 60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719, 60727,
-60733, 60737, 60757, 60761, 60763, 60773, 60779, 60793, 60811, 60821,
-60859, 60869, 60887, 60889, 60899, 60901, 60913, 60917, 60919, 60923,
-60937, 60943, 60953, 60961, 61001, 61007, 61027, 61031, 61043, 61051,
-61057, 61091, 61099, 61121, 61129, 61141, 61151, 61153, 61169, 61211,
-61223, 61231, 61253, 61261, 61283, 61291, 61297, 61331, 61333, 61339,
-61343, 61357, 61363, 61379, 61381, 61403, 61409, 61417, 61441, 61463,
-61469, 61471, 61483, 61487, 61493, 61507, 61511, 61519, 61543, 61547,
-61553, 61559, 61561, 61583, 61603, 61609, 61613, 61627, 61631, 61637,
-61643, 61651, 61657, 61667, 61673, 61681, 61687, 61703, 61717, 61723,
-61729, 61751, 61757, 61781, 61813, 61819, 61837, 61843, 61861, 61871,
-61879, 61909, 61927, 61933, 61949, 61961, 61967, 61979, 61981, 61987,
-61991, 62003, 62011, 62017, 62039, 62047, 62053, 62057, 62071, 62081,
-62099, 62119, 62129, 62131, 62137, 62141, 62143, 62171, 62189, 62191,
-62201, 62207, 62213, 62219, 62233, 62273, 62297, 62299, 62303, 62311,
-62323, 62327, 62347, 62351, 62383, 62401, 62417, 62423, 62459, 62467,
-62473, 62477, 62483, 62497, 62501, 62507, 62533, 62539, 62549, 62563,
-62581, 62591, 62597, 62603, 62617, 62627, 62633, 62639, 62653, 62659,
-62683, 62687, 62701, 62723, 62731, 62743, 62753, 62761, 62773, 62791,
-62801, 62819, 62827, 62851, 62861, 62869, 62873, 62897, 62903, 62921,
-62927, 62929, 62939, 62969, 62971, 62981, 62983, 62987, 62989, 63029,
-63031, 63059, 63067, 63073, 63079, 63097, 63103, 63113, 63127, 63131,
-63149, 63179, 63197, 63199, 63211, 63241, 63247, 63277, 63281, 63299,
-63311, 63313, 63317, 63331, 63337, 63347, 63353, 63361, 63367, 63377,
-63389, 63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463, 63467,
-63473, 63487, 63493, 63499, 63521, 63527, 63533, 63541, 63559, 63577,
-63587, 63589, 63599, 63601, 63607, 63611, 63617, 63629, 63647, 63649,
-63659, 63667, 63671, 63689, 63691, 63697, 63703, 63709, 63719, 63727,
-63737, 63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809, 63823,
-63839, 63841, 63853, 63857, 63863, 63901, 63907, 63913, 63929, 63949,
-63977, 63997, 64007, 64013, 64019, 64033, 64037, 64063, 64067, 64081,
-64091, 64109, 64123, 64151, 64153, 64157, 64171, 64187, 64189, 64217,
-64223, 64231, 64237, 64271, 64279, 64283, 64301, 64303, 64319, 64327,
-64333, 64373, 64381, 64399, 64403, 64433, 64439, 64451, 64453, 64483,
-64489, 64499, 64513, 64553, 64567, 64577, 64579, 64591, 64601, 64609,
-64613, 64621, 64627, 64633, 64661, 64663, 64667, 64679, 64693, 64709,
-64717, 64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849, 64853,
-64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937, 64951,
-64969, 64997, 65003, 65011, 65027, 65029, 65033, 65053, 65063, 65071,
-65089, 65099, 65101, 65111, 65119, 65123, 65129, 65141, 65147, 65167,
-65171, 65173, 65179, 65183, 65203, 65213, 65239, 65257, 65267, 65269,
-65287, 65293, 65309, 65323, 65327, 65353, 65357, 65371, 65381, 65393,
-65407, 65413, 65419, 65423, 65437, 65447, 65449, 65479, 65497, 65519,
-65521,