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Here is a frequently asked question
at the Prime Pages :
I am working on an algorithm and need a few of the largest primes
with 64 bits. Where can I find them?
To which we answer "here!" Below, for each consecutive value of n
we give the ten least positive integers k such that 2n k
is a prime. In each case these are proven primes (proven using UBASIC 's
APRT-CL ). Note that 2n k
will be an n bit number (for these k 's).
Pages: 8-100 bits , 101-200
bits , 201-300 bits , 301-400
bits .
n ten least k 's for which 2n k is
prime.
8
5, 15, 17, 23, 27, 29, 33, 45, 57, 59
9
3, 9 13, 21, 25, 33, 45, 49, 51, 55
10
3, 5 11, 15, 27, 33, 41, 47, 53, 57
11
9, 19, 21, 31, 37, 45, 49, 51, 55, 61
12
3, 5 17, 23, 39, 45, 47, 69, 75, 77
13
1, 13, 21, 25, 31, 45, 69, 75, 81, 91
14
3, 15, 21, 23, 35, 45, 51, 65, 83, 111
15
19, 49, 51, 55, 61, 75, 81, 115, 121, 135
16
15, 17, 39, 57, 87, 89, 99, 113, 117, 123
17
1, 9 13, 31, 49, 61, 63, 85, 91, 99
18
5, 11, 17, 23, 33, 35, 41, 65, 75, 93
19
1, 19, 27, 31, 45, 57, 67, 69, 85, 87
20
3, 5 17, 27, 59, 69, 129, 143, 153, 185
21
9, 19, 21, 55, 61, 69, 105, 111, 121, 129
22
3, 17, 27, 33, 57, 87, 105, 113, 117, 123
23
15, 21, 27, 37, 61, 69, 135, 147, 157, 159
24
3, 17, 33, 63, 75, 77, 89, 95, 117, 167
25
39, 49, 61, 85, 91, 115, 141, 159, 165, 183
26
5, 27, 45, 87, 101, 107, 111, 117, 125, 135
27
39, 79, 111, 115, 135, 187, 199, 219, 231, 235
28
57, 89, 95, 119, 125, 143, 165, 183, 213, 273
29
3, 33, 43, 63, 73, 75, 93, 99, 121, 133
30
35, 41, 83, 101, 105, 107, 135, 153, 161, 173
31
1, 19, 61, 69, 85, 99, 105, 151, 159, 171
32
5, 17, 65, 99, 107, 135, 153, 185, 209, 267
33
9, 25, 49, 79, 105, 285, 301, 303, 321, 355
34
41, 77, 113, 131, 143, 165, 185, 207, 227, 281
35
31, 49, 61, 69, 79, 121, 141, 247, 309, 325
36
5, 17, 23, 65, 117, 137, 159, 173, 189, 233
37
25, 31, 45, 69, 123, 141, 199, 201, 351, 375
38
45, 87, 107, 131, 153, 185, 191, 227, 231, 257
39
7, 19, 67, 91, 135, 165, 219, 231, 241, 301
40
87, 167, 195, 203, 213, 285, 293, 299, 389, 437
41
21, 31, 55, 63, 73, 75, 91, 111, 133, 139
42
11, 17, 33, 53, 65, 143, 161, 165, 215, 227
43
57, 67, 117, 175, 255, 267, 291, 309, 319, 369
44
17, 117, 119, 129, 143, 149, 287, 327, 359, 377
45
55, 69, 81, 93, 121, 133, 139, 159, 193, 229
46
21, 57, 63, 77, 167, 197, 237, 287, 305, 311
47
115, 127, 147, 279, 297, 339, 435, 541, 619, 649
48
59, 65, 89, 93, 147, 165, 189, 233, 243, 257
49
81, 111, 123, 139, 181, 201, 213, 265, 283, 339
50
27, 35, 51, 71, 113, 117, 131, 161, 195, 233
51
129, 139, 165, 231, 237, 247, 355, 391, 397, 439
52
47, 143, 173, 183, 197, 209, 269, 285, 335, 395
53
111, 145, 231, 265, 315, 339, 343, 369, 379, 421
54
33, 53, 131, 165, 195, 245, 255, 257, 315, 327
55
55, 67, 99, 127, 147, 169, 171, 199, 207, 267
56
5, 27, 47, 57, 89, 93, 147, 177, 189, 195
57
13, 25, 49, 61, 69, 111, 195, 273, 363, 423
58
27, 57, 63, 137, 141, 147, 161, 203, 213, 251
59
55, 99, 225, 427, 517, 607, 649, 687, 861, 871
60
93, 107, 173, 179, 257, 279, 369, 395, 399, 453
61
1, 31, 45, 229, 259, 283, 339, 391, 403, 465
62
57, 87, 117, 143, 153, 167, 171, 195, 203, 273
63
25, 165, 259, 301, 375, 387, 391, 409, 457, 471
64
59, 83, 95, 179, 189, 257, 279, 323, 353, 363
65
49, 79, 115, 141, 163, 229, 301, 345, 453, 493
66
5, 45, 173, 203, 275, 297, 387, 401, 443, 495
67
19, 31, 49, 57, 61, 75, 81, 165, 181, 237
68
23, 83, 125, 147, 149, 167, 285, 315, 345, 357
69
19, 91, 93, 103, 129, 153, 165, 201, 255, 385
70
35, 71, 167, 215, 263, 267, 273, 447, 473, 585
71
231, 325, 411, 435, 441, 465, 559, 577, 601, 721
72
93, 107, 129, 167, 249, 269, 329, 347, 429, 473
73
69, 181, 199, 273, 319, 433, 475, 501, 523, 645
74
35, 45, 57, 135, 153, 237, 257, 275, 461, 465
75
97, 207, 231, 271, 279, 289, 325, 381, 409, 427
76
15, 63, 117, 123, 143, 189, 215, 267, 285, 347
77
33, 43, 145, 163, 195, 261, 295, 379, 433, 451
78
11, 95, 111, 123, 147, 153, 191, 263, 303, 507
79
67, 199, 249, 277, 355, 367, 405, 447, 477, 511
80
65, 93, 117, 143, 285, 317, 549, 645, 765, 933
81
51, 63, 163, 205, 333, 349, 429, 433, 481, 553
82
57, 113, 185, 315, 363, 365, 375, 453, 623, 635
83
55, 97, 117, 121, 139, 285, 307, 405, 429, 561
84
35, 69, 213, 215, 333, 399, 525, 563, 587, 597
85
19, 61, 181, 295, 411, 433, 469, 519, 531, 823
86
35, 41, 65, 71, 113, 255, 261, 293, 357, 461
87
67, 129, 181, 195, 201, 217, 261, 277, 289, 339
88
299, 455, 483, 563, 605, 719, 735, 743, 753, 797
89
1, 21, 31, 49, 69, 99, 103, 265, 321, 441
90
33, 41, 53, 75, 227, 263, 273, 291, 297, 317
91
45, 81, 111, 201, 315, 339, 567, 619, 655, 771
92
83, 149, 197, 317, 363, 419, 485, 497, 519, 537
93
25, 51, 79, 105, 273, 405, 489, 553, 571, 579
94
3, 11, 105, 173, 273, 297, 321, 395, 407, 431
95
15, 37, 211, 339, 387, 415, 441, 447, 555, 561
96
17, 87, 93, 147, 165, 189, 237, 243, 315, 347
97
141, 165, 349, 399, 453, 595, 729, 741, 859, 885
98
51, 65, 107, 117, 141, 227, 273, 363, 471, 525
99
115, 145, 247, 319, 381, 427, 675, 717, 1207, 1231
100
15, 99, 153, 183, 267, 285, 357, 479, 603, 833
