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Danh sách số nguyên tố Một số danh sách các số nguyên tố đặc biệt2, 5, 877, 27644437, 35742549198872617291353508656626642567, 359334085968622831041960188598043661065388726959079837
7, 47, 223, 3967, 16127, 1046527, 16769023, 1073676287, 68718952447, 274876858367, 4398042316799, 1125899839733759, 18014398241046527, 1298074214633706835075030044377087
11, 31, 61, 101, 151, 211, 281, 661, 911, 1051, 1201, 1361
43, 71, 197, 463, 547, 953, 1471, 1933, 2647, 2843 2003
5, 13, 41, 61, 113, 181, 313, 421, 613, 761
19, 31, 109, 199, 223, 409, 571, 631, 829, 1489, 1999, 2971
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 67, 71, 83, 89, 101, 107, 109, 113, 127, 131, 137, 139, 149, 157, 167, 179, 181, 191, 197, 199, 211, 227, 233, 239, 251, 257, 263, 269, 281, 293, 307, 311, 317, 337, 347, 353, 359, 379, 389, 401, 409, 419, 431, 443, 449, 461, 467, 479, 487, 491, 499
(3, 7), (7, 11), (13, 17), (19, 23), (37, 41), (43, 47), (67, 71), (79, 83), (97, 101), (103, 107), (109, 113), (127, 131), (163, 167), (193, 197), (223, 227), (229, 233), (277, 281), (307, 311), (313, 317), (349, 353), (379, 383), (397, 401), (439, 441), (457, 461), (487, 491), (499, 503), (613, 617), (643, 647), (673, 677), (739, 743), (757, 761), (769, 773), (823, 827), (853, 857), (859, 863), (877, 881), (883, 887), (907, 911), (937, 941), (967, 971), (1009, 1013), (1087, 1091)
Các số nguyên tố khối có dạng (x3 − y3) / (x − y), x = 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, 26227Các số nguyên tố khối dạng (x3 − y3) / (x − y), x = 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, 693133, 393050634124102232869567034555427371542904833
7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139, 151, 157, 163, 181, 193, 199, 211, 223, 229, 241, 271, 277, 283, 307, 313, 331, 337, 349, 367, 373, 379, 397, 409, 421, 433, 439, 457, 463, 487, 499.
Tới tháng 8/2005, mới chỉ biết các số nguyên tố Mersenne kép.
7, 127, 2147483647, 170141183460469231731687303715884105727
2, 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113, 131, 137, 149, 167, 173, 179, 191, 197, 227, 233, 239, 251, 257, 263, 269, 281, 293, 311, 317, 347, 353, 359, 383, 389, 401, 419, 431, 443, 449, 461, 467, 479, 491
3, 7, 31, 211, 2311
2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199, 10888869450418352160768000001, 265252859812191058636308479999999, 263130836933693530167218012159999999, 8683317618811886495518194401279999999
Đến tháng 9-2005, mới chỉ biết các số nguyên tố Fermat.
3, 5, 17, 257, 65537
2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073
3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107, 127, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271, 283, 307, 311, 331, 347, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499
17
7, 13, 19, 23, 31, 79, 97, 103, 109, 139, 167, 193, 239, 263, 293, 313, 331, 367, 379, 383, 397, 409, 487, 563
2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 101, 107, 109, 127, 131, 139, 149, 151, 157, 167, 173, 179, 181, 191, 197, 199, 211, 223, 229, 233, 251, 263, 269, 271, 277, 281, 283, 293, 311, 313, 317, 331, 347, 349, 359,
23, 47, 59, 83, 89, 113, 167, 269, 389, 419, 509, 659, 839
37, 59, 67, 101, 103, 131, 149, 157, 233, 257, 263, 271, 283, 293, 307, 311, 347, 353, 379, 389, 401, 409, 421, 433, 461, 463, 467, 491
7, 23, 79, 1087, 66047, 263167, 16785407, 1073807359
7, 17, 19, 23, 29, 47, 59, 61, 97, 109, 113, 131, 149, 167, 179, 181, 193, 223, 229, 233, 257, 263, 269, 313, 337, 367, 379, 383, 389, 419, 433, 461, 487, 491, 499
2, 3, 7, 11, 29, 47, 199, 521, 2207, 3571, 9349
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
2, 5, 13, 29, 89, 233, 433, 1597, 2897
13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Đến 23 tháng 8/2008, đã biết 47 số nguyên tố Mersenne (nếu tính cả trường hợp 21-1=1 là số đầu tiên; số thứ 47 có 12.978.189 chữ số), sau đây là 12 số đầu tiên. Số tiếp theo có 157 chữ số.
3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 2305843009213693951, 618970019642690137449562111, 162259276829213363391578010288127, 170141183460469231731687303715884105727
2, 127, 15511, 953467954114363
7, 41, 239, 9369319, 63018038201, 489133282872437279, 19175002942688032928599
2, 3, 5, 7, 37, 151, 3329, 23833
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
2, 5, 29, 5741, 33461
2, 3, 5, 7, 17, 29, 277, 367, 853
2, 3, 5, 7, 13, 17, 19, 37, 73, 97, 109, 163, 193, 257, 433, 487, 577, 769, 1153, 1297, 1459, 2593, 2917, 3457, 3889, 10369, 12289, 17497, 18433, 39367, 52489, 65537, 139969, 147457, 209953, 331777, 472393, 629857, 746497, 786433, 839809, 995329
(5, 7, 11, 13), (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, 19429), (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, 97843, 97847, 97849), (99131, 99133, 99137, 99139)
(5, 7, 11), (7, 11, 13), (11, 13, 17), (13, 17, 19), (17, 19, 23), (37, 41, 43), (41, 43, 47), (67, 71, 73), (97, 101, 103), (101, 103, 107), (103, 107, 109), (107, 109, 113), (191, 193, 197), (193, 197, 199), (223, 227, 229), (227, 229, 233), (277, 281, 283), (307, 311, 313), (311, 313, 317), (347, 349, 353), (457, 461, 463), (461, 463, 467), (613, 617, 619), (641, 643, 647), (821, 823, 827), (823, 827, 829), (853, 857, 859), (857, 859, 863), (877, 881, 883), (881, 883, 887)
5, 7, 29, 31, 211, 2309, 2311, 30029
5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137, 149, 157, 173, 181, 193, 197, 229, 233, 241, 257, 269, 277, 281, 293, 313, 317, 337, 349, 353, 373, 389, 397, 401, 409, 421, 433, 449, 457, 461
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 239, 241, 251, 269, 277, 281, 313, 317, 331, 337, 349, 359, 367, 373, 383, 397, 401
1
5, 7, 11, 23, 47, 59, 83, 107, 167, 179, 227, 263, 347, 359, 383, 467, 479, 503, 563, 587, 719, 839, 863, 887, 983, 1019, 1187, 1283, 1307, 1319, 1367, 1439, 1487, 1523, 1619, 1823, 1907
3, 5, 7, 31, 53, 97, 211, 233, 277, 367, 389, 457, 479
(5,11), (7,13), (11,17), (13,19), (17,23), (23,29), (31,37), (37,43), (41,47), (47,53), (53,59), (61,67), (67,73), (73,79), (83,89), (97.103), (101.107), (103.109), (107.113), (131.137), (151.157), (157.163), (167.173), (173.179), (191.197), (193.199), (223.229), (227.233), (233.239), (251.257), (263.269), (271.277), (277.283), (307.313), (311.317), (331.337), (347.353), (353.359), (367.373), (373.379), (383.389), (433.439), (443.449), (457.463), (461.467), (503.509)
2, 23, 2357
Số nguyên tố Smarandache-Wellin thứ tư có khoảng 355 chữ số.
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
13, 37, 73, 181, 337, 433, 541, 661, 937, 1093, 2053, 2281, 2521, 3037, 3313
Đến tháng 10-2006, mới chie biết các số nguyên tố Stern sau, và có khả năng chỉ có chúng.
2, 3, 17, 137, 227, 977, 1187, 1493
Có 15 số nguyên tố supersingular.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71
2, 5, 11, 23, 47, 191, 383, 6143
(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)
3, 11, 37, 101, 9091, 9901, 333667
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
2, 3, 11, 23, 983, 2179, 24631, 3626149
Đến tháng 9 năm 2005 mới chỉ biết các nguyên tố Wieferich sau:
1093, 3511
Đến tháng 9 năm 2005, mới chỉ biết các số nguyên tố Wilson sau:
5, 13, 563
Đến tháng 9 năm 2005, mới chỉ biết các số nguyên tố Wolstenholme:
16843, 2124679
7, 23, 383, 32212254719, 2833419889721787128217599
Thực đơn
Danh sách số nguyên tố Một số danh sách các số nguyên tố đặc biệtLiên quan
Danh Danh sách quốc gia có chủ quyền Danh pháp hai phần Danh sách trận chung kết Cúp C1 châu Âu và UEFA Champions League Danh sách tập phim Naruto Shippuden Danh sách nhà vô địch cúp châu Âu cấp câu lạc bộ Danh sách nhà vô địch bóng đá Anh Danh sách di sản thế giới tại Việt Nam Danh sách nhân vật trong Thám tử lừng danh Conan Danh sách tập phim Doraemon (2005–2014)Tài liệu tham khảo
WikiPedia: Danh sách số nguyên tố http://www.primos.mat.br/indexen.html http://www.research.att.com/cgi-bin/access.cgi/as/... http://www.research.att.com/cgi-bin/access.cgi/as/... http://www.research.att.com/cgi-bin/access.cgi/as/... http://www.research.att.com/cgi-bin/access.cgi/as/... http://www.fermatquotient.com/FermatQuotienten/Fer... http://www.numberphile.com/videos/largest_prime.ht... http://www.rsok.com/~jrm/printprimes.html http://mathworld.wolfram.com/CarolNumber.html http://mathworld.wolfram.com/GenocchiNumber.html