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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.
300
153, 185, 383, 413, 483, 539, 693, 779, 1047, 1097
301
265, 523, 861, 1249, 1299, 1309, 1365, 1869, 1963, 1981
302
267, 293, 647, 1043, 1307, 1581, 1601, 2037, 2141, 2241
303
121, 207, 241, 249, 321, 381, 549, 637, 835, 955
304
75, 1403, 1685, 1707, 1739, 1883, 1937, 2219, 2255, 2307
305
103, 429, 453, 1195, 1339, 1581, 2019, 2581, 2989, 3043
306
503, 947, 1017, 1797, 2063, 2093, 2175, 2597, 2655, 2817
307
99, 147, 187, 255, 319, 369, 511, 631, 879, 1021
308
159, 189, 615, 777, 959, 1025, 1079, 1139, 1409, 1443
309
493, 2673, 2733, 2949, 3243, 3525, 3595, 3799, 3969, 4051
310
77, 255, 635, 645, 755, 1097, 1127, 1235, 1377, 1533
311
45, 75, 181, 199, 271, 297, 471, 789, 885, 1071
312
203, 689, 753, 1385, 1449, 1547, 1575, 1655, 1683, 1799
313
139, 343, 439, 669, 675, 759, 915, 1893, 1993, 2371
314
113, 453, 677, 695, 981, 1013, 1037, 1067, 1121, 1277
315
465, 691, 1041, 1417, 1479, 1515, 1795, 2217, 2769, 2839
316
57, 243, 267, 293, 353, 399, 507, 899, 1259, 1323
317
33, 379, 523, 609, 1009, 1065, 1351, 1521, 1773, 1821
318
165, 275, 681, 807, 1337, 1427, 1617, 1931, 2075, 2295
319
795, 865, 1191, 1911, 2059, 2475, 2989, 3435, 3855, 4045
320
197, 743, 825, 843, 873, 1007, 1017, 1217, 1815, 2955
321
9, 45, 609, 769, 1053, 1165, 1389, 1395, 1431, 1675
322
11, 185, 923, 1121, 1233, 1307, 2307, 2373, 2583, 2717
323
141, 247, 309, 919, 1269, 1345, 1431, 1629, 1731, 1951
324
23, 177, 777, 923, 1055, 1299, 1329, 1385, 1449, 1799
325
399, 433, 1051, 1219, 1261, 1485, 1701, 2013, 2349, 2413
326
101, 117, 215, 731, 1731, 1823, 1833, 1995, 2603, 2807
327
595, 951, 979, 1077, 1297, 1549, 1939, 2667, 2961, 3055
328
155, 437, 629, 693, 843, 977, 1019, 1119, 1475, 1503
329
139, 243, 273, 339, 489, 531, 1665, 1963, 2145, 2343
330
255, 437, 927, 1001, 1217, 1445, 1595, 1911, 3185, 3435
331
61, 459, 745, 969, 1261, 1449, 1599, 1771, 2029, 2737
332
707, 1077, 1109, 1217, 1293, 1485, 1487, 1613, 2789, 2987
333
483, 741, 805, 913, 955, 1041, 1083, 1131, 1243, 1353
334
243, 603, 711, 981, 1085, 1425, 1637, 1901, 1953, 2423
335
321, 511, 541, 759, 871, 1227, 1399, 1821, 2131, 2337
336
3, 17, 303, 585, 627, 707, 723, 1047, 1413, 1479
337
75, 1443, 1579, 1615, 1659, 1693, 1741, 1785, 1915, 2793
338
15, 275, 315, 401, 467, 603, 623, 843, 951, 1053
339
147, 415, 751, 865, 901, 921, 1311, 1375, 1881, 1911
340
293, 299, 437, 699, 1187, 1203, 1209, 1217, 1389, 1439
341
229, 631, 765, 861, 951, 1071, 1101, 1203, 1263, 1503
342
65, 237, 263, 317, 707, 1017, 1085, 1353, 1517, 1755
343
199, 291, 495, 501, 561, 589, 691, 841, 915, 1377
344
119, 219, 527, 569, 617, 845, 993, 1079, 1107, 1253
345
475, 493, 859, 951, 1083, 1113, 1521, 2425, 2443, 2491
346
45, 57, 197, 363, 407, 1467, 1565, 1601, 1623, 1995
347
211, 367, 451, 1065, 1417, 1455, 1507, 1659, 1777, 2109
348
117, 143, 257, 359, 629, 759, 1085, 1295, 1469, 1533
349
285, 433, 579, 673, 859, 895, 1009, 2071, 2175, 2419
350
113, 131, 401, 425, 513, 555, 923, 1097, 1461, 2073
351
61, 135, 291, 429, 691, 1159, 2139, 2155, 2901, 3517
352
657, 879, 963, 999, 1263, 1305, 1323, 1439, 1449, 1865
353
139, 489, 523, 595, 621, 735, 1029, 1489, 1879, 1951
354
153, 251, 525, 537, 573, 783, 1371, 1563, 1605, 1691
355
49, 369, 589, 717, 957, 1221, 1609, 2185, 2197, 2355
356
173, 227, 393, 759, 803, 855, 989, 1385, 1497, 1623
357
243, 541, 739, 1033, 1075, 1105, 1621, 1725, 2575, 2739
358
671, 1005, 1161, 1211, 1247, 1365, 1491, 1793, 2681, 2957
359
411, 855, 901, 925, 1275, 1791, 2179, 2277, 2995, 3027
360
719, 1155, 1307, 1515, 1785, 1823, 2117, 2207, 2345, 2669
361
369, 663, 1779, 2539, 2691, 2793, 3501, 3751, 3909, 4173
362
605, 663, 1073, 1563, 1571, 1955, 2297, 2327, 2385, 2553
363
75, 97, 105, 111, 1287, 2251, 2341, 2391, 2481, 2511
364
923, 1239, 1653, 1725, 1917, 1949, 2009, 2045, 2339, 2609
365
169, 261, 295, 325, 369, 493, 639, 723, 2079, 2241
366
167, 507, 635, 657, 747, 837, 1115, 1511, 1785, 1787
367
487, 801, 1279, 1407, 1509, 1827, 2365, 2409, 2467, 3049
368
315, 419, 785, 1139, 1289, 1953, 2567, 2595, 2799, 3107
369
25, 195, 445, 825, 1339, 1551, 1599, 1729, 1869, 1959
370
495, 813, 1797, 1977, 2001, 2063, 2303, 2315, 2505, 2913
371
741, 747, 925, 1077, 1485, 1647, 1815, 2115, 2305, 2319
372
177, 207, 563, 797, 1749, 1997, 2247, 2475, 2615, 2873
373
333, 489, 735, 843, 1813, 2295, 2491, 3189, 3513, 3519
374
65, 153, 371, 495, 855, 987, 1433, 1983, 2235, 2247
375
679, 979, 1089, 1119, 1669, 1767, 2065, 2547, 2635, 2697
376
57, 473, 519, 629, 1035, 1239, 1929, 2085, 2237, 2985
377
259, 321, 511, 663, 1485, 1693, 1791, 2253, 2409, 2553
378
417, 447, 825, 1991, 2207, 2693, 2993, 3101, 3177, 3287
379
19, 99, 319, 355, 679, 711, 795, 925, 1069, 1455
380
65, 483, 677, 723, 1133, 1139, 1175, 1263, 1347, 1469
381
313, 735, 1203, 2209, 2629, 3033, 3055, 3091, 3315, 4003
382
105, 227, 635, 677, 963, 1083, 1641, 2085, 2243, 2411
383
31, 187, 367, 421, 471, 567, 607, 747, 1035, 1699
384
317, 1437, 1557, 1617, 2147, 2319, 2729, 3087, 3093, 3273
385
265, 1215, 1911, 2005, 2101, 2401, 2449, 2455, 2565, 2679
386
231, 747, 881, 923, 1287, 1611, 2493, 2735, 2837, 3633
387
615, 621, 795, 919, 1021, 1111, 1255, 1287, 1689, 2095
388
45, 63, 269, 347, 483, 525, 717, 837, 875, 959
389
21, 51, 103, 313, 843, 871, 883, 1141, 1179, 1743
390
137, 293, 383, 461, 1017, 1283, 1773, 2057, 2693, 3047
391
105, 127, 399, 645, 675, 1671, 1791, 2085, 2227, 2275
392
107, 299, 623, 1035, 1389, 1437, 1589, 1827, 2285, 2607
393
93, 331, 549, 1113, 1411, 2523, 2551, 2719, 3393, 4291
394
377, 447, 987, 1161, 1497, 1571, 2043, 2187, 2303, 2615
395
531, 1137, 2161, 2205, 2215, 2907, 3055, 3151, 3481, 3655
396
605, 695, 909, 945, 1229, 1365, 1997, 2397, 2837, 3285
397
81, 463, 673, 1071, 1165, 1425, 1905, 1999, 2061, 2133
398
131, 231, 777, 951, 1457, 1547, 1673, 1893, 2145, 2241
399
91, 219, 937, 1731, 2749, 2875, 3201, 3489, 3729, 4149
400
593, 663, 767, 879, 1205, 2457, 3107, 3195, 3263, 3267
