List of prime numbers

This page contains a list of the first 500 prime numbers and lists of prime numbers by specific categorizations.

Contents

1 The first 500 prime numbers 2 List of unique primes 3 List of twin primes 4 List of prime quadruplets 5 List of Mersenne primes 6 List of Fermat primes 7 List of Sophie Germain primes 8 List of Wilson primes 9 List of Wolstenholme primes 10 List of factorial primes 11 List of primorial primes 12 List of palindromic primes 13 List of cuban primes 14 List of Smarandache-Wellin primes 15 List of lucky primes 16 List of Woodall primes 17 List of Newman-Shanks-Williams primes 18 List of Wieferich primes 19 List of Supersingular primes 20 List of Wagstaff primes 21 See also 22 External links

The first 500 prime numbers

2	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

List of unique primes

As of May 2005, 18 unique primes are known. Listed below are the first seven.

3, 11, 37, 101, 9091, 9901, 333667

List of twin primes

(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463), (521, 523), (569, 571), (599, 601), (617, 619), (641, 643), (659, 661), (809, 811), (821, 823), (827, 829), (857, 859), (881, 883), (1019, 1021), (1031, 1033), (1049, 1051), (1061, 1063), (1091, 1093), (1151, 1153), (1229, 1231), (1277, 1279), (1289, 1291), (1301, 1303), (1319, 1321), (1427, 1429), (1451, 1453), (1481, 1483), (1487, 1489), (1607, 1609), (1619, 1621), (1667, 1669), (1697, 1699), (1721, 1723), (1787, 1789), (1871, 1873), (1877, 1879), (1931, 1933), (1949, 1951), (1997, 1999), (2027, 2029), (2081, 2083), (2087, 2089), (2111, 2113), (2129, 2131), (2141, 2143), (2237, 2239), (2267, 2269), (2309, 2311), (2339, 2341), (2381, 2383)

List of prime quadruplets

(11, 13, 17, 19), (101, 103, 107, 109), (191, 193, 197, 199), (821, 823, 827, 829), (1481, 1483, 1487, 1489), (1871, 1873, 1877, 1879), (2081, 2083, 2087, 2089), (3251, 3253, 3257, 3259), (3461, 3463, 3467, 3469),(5651, 5653, 5657, 5659), (9431, 9433, 9437, 9439), (13001, 13003, 13007, 13009), (15641, 15643, 15647, 15649), (15731, 15733, 15737, 15739), (16061, 16063, 16067, 16069), (18041, 18043, 18047, 18049), (18911, 18913, 18917, 18919), (19421, 19423, 19427, 18429), (21011, 21013, 21017, 21019), (22271, 22273, 22277, 22279), (25301, 25303, 25307, 25309), (31721, 31723, 31727, 31729), (34841, 34843, 34847, 34849), (43781, 43783, 43787, 43789), (51341, 51343, 51347, 51349), (55331, 55333, 55337, 55339), (62981, 62983, 62987, 62989), (67211, 67213, 67217, 67219), (69491, 69493, 69497, 69499), (72221, 72223, 72227, 72229), (77261, 77263, 77267, 77269), (79691, 79693, 79697, 79699), (81041, 81043, 81047, 81049), (82721, 82723, 82727, 82729), (88811, 88813, 88817, 88819), (97841, 97483, 97487, 97489), (99131, 99133, 99137, 99139)

List of Mersenne primes

As of May 2005, there are only 42 known Mersenne primes. Listed below are the first eleven, as they get very large very quickly.

3, 7, 31, 127, 8191, 131071, 524827, 2147483647, 2305843009213693951, 618970019642690137449562111, 162259276829213363391578010288127

See Mersenne primes at Wikisource for a longer list.

List of Fermat primes

As of May 2005, these are the only known Fermat primes.

3, 5, 17, 257, 65537

List of Sophie Germain primes

2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131, 173, 179, 191, 233, 239, 251, 281, 293, 359, 419, 431, 443, 491, 509, 593, 641, 653, 659, 683, 719, 743, 761, 809, 911, 953, 1013, 1019, 1031, 1049, 1103, 1223, 1229, 1289, 1409, 1439, 1451, 1481, 1499, 1511,1559

List of Wilson primes

As of May 2005, these are the only known Wilson primes.

5, 13, 563

List of Wolstenholme primes

As of May 2005, these are the only known Wolstenholme primes.

16843, 2124679

List of factorial primes

2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199

List of primorial primes

5, 7, 29, 31, 211, 2309, 2311, 30029

List of palindromic primes

2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741, 15451, 15551, 16061, 16361, 16561, 16661, 17471, 17971, 18181, 18481, 19391, 19891, 19991

List of cuban primes

Cuban primes of the form (x³ - y³) / (x - y), x is y + 1:

7, 19, 37, 61, 127, 271, 331, 397, 547, 631, 919, 1657, 1801, 1951, 2269, 2437, 2791, 3169, 3571, 4219, 4447, 5167, 5419, 6211, 7057, 7351, 8269, 9241, 10267, 11719, 12097, 13267, 13669, 16651, 19441, 19927, 22447, 23497, 24571, 25117, 26227

Cuban primes of the form (x³ - y³) / (x - y), x is y + 2:

13, 109, 193, 433, 769, 1201, 1453, 2029, 3469, 3889, 4801, 10093, 12289, 13873, 18253, 20173, 21169, 22189, 28813, 37633, 43201, 47629, 60493, 63949, 65713, 69313

List of Smarandache-Wellin primes

2, 23, 235, 2357, 235711, 23571113, 2357111317, 235711131719

List of lucky primes

3 7 13 31 37 43 67 73 79 127 151 163 193 211 223 241 283 307 331 349 367 409 421 433 463 487 541 577 601 613 619 631 643 673 727 739 769 787 823 883 937 991 997 1009 1021 1039 1087 1093 1117 1123 1201 1231 1249 1291 1303 1459 1471 1543 1567 1579 1597 1663 1693 1723 1777 1801 1831 1879 1933 1987 2053 2083 2113 2221 2239 2251 2281 2311 2467 2473 2557 2593 2647 2671 2689 2797 2851 2887 2953 2971 3037 3049 3109 3121 3163 3187 3229 3259 3301 3307 3313

List of Woodall primes

7, 23, 383, 32212254719, 2833419889721787128217599

List of Newman-Shanks-Williams primes

7, 41, 239, 9369319, 63018038201, 489133282872437279, 19175002942688032928599

List of Wieferich primes

As of May 2005, these are the only known Wieferich primes.

1093, 3511

List of Supersingular primes

There exist exactly fifteen supersingular primes.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71

List of Wagstaff primes

3, 5, 7, 11, 13, 17, 19, 23, 31, 43, 61, 79, 101, 127, 167, 191, 199, 313, 347, 701, 1709, 2617, 3539, 5807, 10501, 10691, 11279, 12391, 14479, 42737, 83339, 95369, 117239, 127031, 138937, 141079, 267017, 269987, 374321

See also

• List of numbers

External links

• Lists of Primes (http://www.utm.edu/research/primes/lists/) at the Prime Pages.
• Interface to a list of the first 98 million primes (http://www.rsok.com/~jrm/printprimes.html) (primes less than 2,000,000,000)bg:Списък на първите 1000 прости числа

ru:Список простых чисел