1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
|
/* Table of primes, for use by hash tables.
Copyright (C) 2006, 2009-2020 Free Software Foundation, Inc.
Written by Bruno Haible <bruno@clisp.org>, 2006.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3 of the License, or
(at your option) any later version.
This program 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 a copy of the GNU General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>. */
/* Array of primes, approximately in steps of factor 1.2.
This table was computed by executing the Common Lisp expression
(dotimes (i 244) (format t "nextprime(~D)~%" (ceiling (expt 1.2d0 i))))
and feeding the result to PARI/gp. */
static const size_t primes[] =
{
11, 13, 17, 19, 23, 29, 37, 41, 47, 59, 67, 83, 97, 127, 139, 167, 199,
239, 293, 347, 419, 499, 593, 709, 853, 1021, 1229, 1471, 1777, 2129, 2543,
3049, 3659, 4391, 5273, 6323, 7589, 9103, 10937, 13109, 15727, 18899,
22651, 27179, 32609, 39133, 46957, 56359, 67619, 81157, 97369, 116849,
140221, 168253, 201907, 242309, 290761, 348889, 418667, 502409, 602887,
723467, 868151, 1041779, 1250141, 1500181, 1800191, 2160233, 2592277,
3110741, 3732887, 4479463, 5375371, 6450413, 7740517, 9288589, 11146307,
13375573, 16050689, 19260817, 23112977, 27735583, 33282701, 39939233,
47927081, 57512503, 69014987, 82818011, 99381577, 119257891, 143109469,
171731387, 206077643, 247293161, 296751781, 356102141, 427322587,
512787097, 615344489, 738413383, 886096061, 1063315271, 1275978331,
1531174013, 1837408799, 2204890543UL, 2645868653UL, 3175042391UL,
3810050851UL,
#if SIZE_MAX > 4294967295UL
4572061027UL, 5486473229UL, 6583767889UL, 7900521449UL, 9480625733UL,
11376750877UL, 13652101063UL, 16382521261UL, 19659025513UL, 23590830631UL,
28308996763UL, 33970796089UL, 40764955463UL, 48917946377UL, 58701535657UL,
70441842749UL, 84530211301UL, 101436253561UL, 121723504277UL,
146068205131UL, 175281846149UL, 210338215379UL, 252405858521UL,
302887030151UL, 363464436191UL, 436157323417UL, 523388788231UL,
628066545713UL, 753679854847UL, 904415825857UL, 1085298991109UL,
1302358789181UL, 1562830547009UL, 1875396656429UL, 2250475987709UL,
2700571185239UL, 3240685422287UL, 3888822506759UL, 4666587008147UL,
5599904409713UL, 6719885291641UL, 8063862349969UL, 9676634819959UL,
11611961783951UL, 13934354140769UL, 16721224968907UL, 20065469962669UL,
24078563955191UL, 28894276746229UL, 34673132095507UL, 41607758514593UL,
49929310217531UL, 59915172260971UL, 71898206713183UL, 86277848055823UL,
103533417666967UL, 124240101200359UL, 149088121440451UL, 178905745728529UL,
214686894874223UL, 257624273849081UL, 309149128618903UL, 370978954342639UL,
445174745211143UL, 534209694253381UL, 641051633104063UL, 769261959724877UL,
923114351670013UL, 1107737222003791UL, 1329284666404567UL,
1595141599685509UL, 1914169919622551UL, 2297003903547091UL,
2756404684256459UL, 3307685621107757UL, 3969222745329323UL,
4763067294395177UL, 5715680753274209UL, 6858816903929113UL,
8230580284714831UL, 9876696341657791UL, 11852035609989371UL,
14222442731987227UL, 17066931278384657UL, 20480317534061597UL,
24576381040873903UL, 29491657249048679UL, 35389988698858471UL,
42467986438630267UL, 50961583726356109UL, 61153900471627387UL,
73384680565952851UL, 88061616679143347UL, 105673940014972061UL,
126808728017966413UL, 152170473621559703UL, 182604568345871671UL,
219125482015045997UL, 262950578418055169UL, 315540694101666193UL,
378648832921999397UL, 454378599506399233UL, 545254319407679131UL,
654305183289214771UL, 785166219947057701UL, 942199463936469157UL,
1130639356723763129UL, 1356767228068515623UL, 1628120673682218619UL,
1953744808418662409UL, 2344493770102394881UL, 2813392524122873857UL,
3376071028947448339UL, 4051285234736937517UL, 4861542281684325481UL,
5833850738021191727UL, 7000620885625427969UL, 8400745062750513217UL,
10080894075300616261UL, 12097072890360739951UL, 14516487468432885797UL,
17419784962119465179UL,
#endif
SIZE_MAX /* sentinel, to ensure the search terminates */
};
/* Returns a suitable prime >= ESTIMATE. */
static size_t
next_prime (size_t estimate)
{
size_t i;
for (i = 0; i < sizeof (primes) / sizeof (primes[0]); i++)
if (primes[i] >= estimate)
return primes[i];
return SIZE_MAX; /* not a prime, but better than nothing */
}
|
