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2012-01-01, 16:52
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#1 |
Nov 2003
362210 Posts |
Largest k*2^n-1 Primes in 2011
Here is the list of 100 largest primes of form k*2^n-1, k>1, found in 2011. The list is extracted from the Top-5000 site.
Rankings r1, rank of primes found in 2011 r2, rank of all known primes right now (Jan. 1, 2012 at 1600 GMT) The list of largest primes found in 2010 can be found here. Note that the smallest exponent needed to enter the list was more than 1240k, while in 2010 it was less than 1M! Code:
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r1 r2 description digits who year
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1 27 353159*2^4331116-1 1303802 L2408 2011
2 28 141941*2^4299438-1 1294265 L689 2011
3 32 123547*2^3804809-1 1145367 L2371 2011
4 33 415267*2^3771929-1 1135470 L2373 2011
5 35 65531*2^3629342-1 1092546 L2269 2011
6 39 428639*2^3506452-1 1055553 L2046 2011
7 44 9*2^3259381-1 981173 L1828 2011
8 48 383731*2^3021377-1 909531 L466 2011
9 51 1095*2^2992587-1 900862 L1828 2011
10 55 1207*2^2861901-1 861522 L1828 2011
11 63 1243*2^2623707-1 789818 L1828 2011
12 64 13*2^2606075-1 784508 L1862 2011
13 65 75*2^2562382-1 771356 L2055 2011
14 69 165*2^2500130-1 752617 L2055 2011
15 84 15*2^2323205-1 699356 L2484 2011
16 87 1087*2^2293345-1 690369 L1828 2011
17 93 165*2^2207550-1 664541 L2055 2011
18 105 61*2^2134577-1 642574 L2055 2011
19 106 75*2^2130432-1 641326 L2055 2011
20 108 57*2^2103370-1 633180 L2055 2011
21 114 75*2^2050637-1 617306 L2055 2011
22 119 8331405*2^1993674-1 600163 L260 2011
23 123 8331405*2^1984565-1 597421 L260 2011
24 125 148323*2^1973319-1 594034 L587 2011
25 131 243*2^1923567-1 579054 L2055 2011
26 141 8331405*2^1858587-1 559498 L260 2011
27 142 87*2^1852590-1 557688 L2055 2011
28 150 35*2^1817486-1 547120 L2074 2011
29 153 1305*2^1809766-1 544797 L1828 2011
30 154 1185*2^1809466-1 544707 L1828 2011
31 157 1193*2^1801112-1 542192 L1828 2011
32 159 1045*2^1800025-1 541865 L1828 2011
33 165 99*2^1777688-1 535140 L1862 2011
34 167 243*2^1777467-1 535074 L2055 2011
35 174 31*2^1755317-1 528405 L330 2011
36 179 61*2^1734983-1 522284 L2055 2011
37 182 113*2^1721438-1 518207 L2484 2011
38 188 20049*2^1687252-1 507918 L1471 2011
39 208 315*2^1639432-1 493521 L1827 2011
40 213 53*2^1632590-1 491461 L2055 2011
41 215 113*2^1627496-1 489928 L2484 2011
42 216 63*2^1626259-1 489555 L1828 2011
43 219 87*2^1616138-1 486508 L1828 2011
44 233 289*2^1587151-1 477783 L1828 2011
45 251 69*2^1566375-1 471528 L1828 2011
46 254 161*2^1553570-1 467674 L177 2011
47 257 95*2^1543676-1 464695 L2338 2011
48 259 83*2^1540750-1 463814 L1959 2011
49 260 315*2^1539539-1 463450 L1827 2011
50 261 333*2^1537644-1 462880 L1827 2011
51 262 63*2^1535612-1 462268 L1828 2011
52 264 8331405*2^1534807-1 462030 L260 2011
53 267 247*2^1529485-1 460424 L2338 2011
54 269 165*2^1521629-1 458059 L2055 2011
55 275 65*2^1505640-1 453245 L2055 2011
56 285 61*2^1487125-1 447672 L1828 2011
57 286 57*2^1486214-1 447397 L1828 2011
58 287 8922449*2^1482840-1 446387 L536 2011
59 292 333*2^1474766-1 443952 L1827 2011
60 294 69*2^1473217-1 443485 L2055 2011
61 295 327*2^1473201-1 443481 L1827 2011
62 301 165*2^1462368-1 440219 L2101 2011
63 303 83*2^1461350-1 439913 L1959 2011
64 304 83*2^1455358-1 438109 L1959 2011
65 310 83*2^1437882-1 432848 L1959 2011
66 314 243*2^1431443-1 430910 L2055 2011
67 322 65*2^1421088-1 427792 L1828 2011
68 326 61*2^1416365-1 426371 L2055 2011
69 329 339*2^1410789-1 424693 L1830 2011
70 332 55*2^1406997-1 423551 L1884 2011
71 338 85*2^1395605-1 420121 L2338 2011
72 339 77*2^1390004-1 418435 L2074 2011
73 344 89*2^1383108-1 416359 L1884 2011
74 351 129*2^1376223-1 414287 L1959 2011
75 352 65*2^1374574-1 413790 L2055 2011
76 353 147*2^1374216-1 413683 L1959 2011
77 354 321*2^1371846-1 412970 L1830 2011
78 356 195*2^1369746-1 412337 L2101 2011
79 358 243*2^1368212-1 411876 L2055 2011
80 359 245*2^1367128-1 411549 L1862 2011
81 362 77*2^1365452-1 411044 L2074 2011
82 365 321*2^1363671-1 410509 L1830 2011
83 367 171*2^1362662-1 410205 L1959 2011
84 371 87*2^1358189-1 408858 L2055 2011
85 373 63*2^1357156-1 408547 L1828 2011
86 392 87*2^1332741-1 401197 L1828 2011
87 410 117*2^1302764-1 392174 L1959 2011
88 420 393*2^1297402-1 390560 L644 2011
89 431 135*2^1288177-1 387783 L1959 2011
90 437 131*2^1283258-1 386302 L1862 2011
91 442 181*2^1281453-1 385759 L2484 2011
92 457 147*2^1273684-1 383420 L1959 2011
93 468 193*2^1268399-1 381829 L1959 2011
94 497 119*2^1256952-1 378383 L2338 2011
95 506 181*2^1250169-1 376341 L2074 2011
96 511 201*2^1249030-1 375998 L1862 2011
97 517 153*2^1245154-1 374831 L1959 2011
98 526 123*2^1241690-1 373789 L1959 2011
99 530 27029*2^1240648-1 373477 L2055 2011
100 531 159*2^1240229-1 373349 L1959 2011
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