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-   -   Largest k*2^n-1 Primes Found in 2013 (https://www.mersenneforum.org/showthread.php?t=19042)

Kosmaj 2014-01-01 11:11

Largest k*2^n-1 Primes Found in 2013
 
Here is the list of 100 largest "Riesel" primes (k*2^n-1, k>1) found in 2013.

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (January 1, 2014 at 1100 GMT)

Comparison with 2012:[LIST][*]6 primes with more than 1 million digits in 2013, 10 in 2012[*]Minimum exponent on the list n=1468k in 2013, n=1290k in 2012[/LIST][CODE]
-------------------------------------------------------------
r1 r2 description digits who
-------------------------------------------------------------
1 22 40597*2^6808509-1 2049571 L3749
2 24 304207*2^6643565-1 1999918 L3547
3 25 398023*2^6418059-1 1932034 L3659
4 56 15*2^3668194-1 1104238 L3665
5 72 464253*2^3321908-1 1000000 L466
6 73 191273*2^3321908-1 1000000 L466
7 76 49*2^3309087-1 996137 L1959
8 79 5*2^3264650-1 982759 L384
9 109 17*2^2946584-1 887012 L3519
10 110 33*2^2939063-1 884748 L3345
11 120 41*2^2872058-1 864578 L2484
12 126 107*2^2819922-1 848884 L2484
13 168 33*2^2513872-1 756753 L3345
14 173 33*2^2499883-1 752542 L3345
15 187 69*2^2410035-1 725495 L2074
16 220 103*2^2232551-1 672067 L2484
17 225 33*2^2215291-1 666871 L3345
18 226 157533*2^2214598-1 666666 L3494
19 227 33*2^2212971-1 666173 L3345
20 243 111*2^2150802-1 647458 L2484
21 254 8331405*2^2120345-1 638295 L2055
22 255 33*2^2118570-1 637755 L3345
23 261 85*2^2087651-1 628448 L2338
24 286 77*2^2002742-1 602888 L2074
25 290 19861029*2^1995311-1 600656 L895
26 387 267*2^1909876-1 574933 L1828
27 391 291*2^1907541-1 574230 L2484
28 407 744716047603963*2^1884575-1 567329 L257
29 413 89*2^1879132-1 565678 L1828
30 438 161*2^1859586-1 559794 L177
31 452 261*2^1843555-1 554968 L1828
32 470 1021*2^1827279-1 550069 L1828
33 476 1135*2^1824103-1 549113 L1828
34 505 145*2^1807767-1 544195 L840
35 523 319*2^1797261-1 541032 L1819
36 532 273*2^1788926-1 538523 L1828
37 566 273*2^1766747-1 531847 L1828
38 611 319*2^1740047-1 523809 L1819
39 626 55*2^1729777-1 520717 L2074
40 636 600921*2^1727190-1 519942 g337
41 663 267*2^1705793-1 513498 L1828
42 664 291*2^1705173-1 513311 L2484
43 670 313*2^1703119-1 512693 L1809
44 689 395*2^1690690-1 508951 L1819
45 746 297*2^1655042-1 498220 L2074
46 784 267*2^1632893-1 491553 L1828
47 790 267*2^1629148-1 490425 L1828
48 802 225*2^1620601-1 487852 L2074
49 812 395*2^1611672-1 485165 L1819
50 852 279*2^1590369-1 478752 L1828
51 865 277*2^1583097-1 476563 L2484
52 893 175*2^1571521-1 473078 L2074
53 905 285*2^1565353-1 471221 L3202
54 907 285*2^1563167-1 470563 L3202
55 920 117*2^1554601-1 467984 L3519
56 936 149*2^1541152-1 463936 L384
57 944 1077*2^1537453-1 462823 L1828
58 946 1245*2^1536104-1 462417 L1828
59 947 1293*2^1536042-1 462398 L1828
60 952 291*2^1534413-1 461907 L2484
61 955 1203*2^1531143-1 460924 L1828
62 958 1195*2^1530031-1 460589 L1828
63 959 1099*2^1529993-1 460577 L1828
64 960 347*2^1529964-1 460568 L2235
65 965 1105*2^1529161-1 460327 L1828
66 966 1113*2^1527832-1 459927 L1828
67 970 115*2^1524183-1 458827 L2074
68 972 1265*2^1523548-1 458637 L1828
69 975 1221*2^1522283-1 458256 L1828
70 979 1257*2^1521398-1 457990 L1828
71 980 1015*2^1520177-1 457622 L1828
72 981 375*2^1518534-1 457127 L2235
73 990 237*2^1512216-1 455225 L1828
74 991 1107*2^1511864-1 455120 L1828
75 1002 173*2^1504740-1 452975 L2074
76 1003 1127*2^1504700-1 452963 L1828
77 1004 237*2^1503376-1 452564 L1828
78 1012 147*2^1499333-1 451347 L1959
79 1018 1351*2^1495467-1 450184 L1828
80 1020 1047*2^1494761-1 449971 L1828
81 1024 1365*2^1493923-1 449719 L1828
82 1030 1287*2^1493088-1 449468 L1828
83 1032 1347*2^1492537-1 449302 L1828
84 1033 1269*2^1492195-1 449199 L1828
85 1034 1023*2^1492030-1 449149 L1828
86 1040 1155*2^1490176-1 448591 L1828
87 1046 1077*2^1487269-1 447716 L1828
88 1049 1239*2^1486540-1 447497 L1828
89 1053 377*2^1483586-1 446607 L1819
90 1062 1293*2^1480046-1 445542 L1828
91 1069 1071*2^1478005-1 444927 L1828
92 1073 1329*2^1476061-1 444342 L1828
93 1076 1159*2^1475217-1 444088 L1828
94 1081 357*2^1473125-1 443458 L1819
95 1082 1263*2^1472875-1 443383 L1828
96 1086 1317*2^1471508-1 442972 L1828
97 1088 1197*2^1471378-1 442932 L1828
98 1091 1291*2^1470905-1 442790 L1828
99 1094 1155*2^1468763-1 442145 L1828
100 1095 55*2^1468439-1 442046 L2074
-------------------------------------------------------------
[/CODE]

The list of largest primes found in 2012 can be found [URL="http://www.mersenneforum.org/showthread.php?t=17626"]here[/URL].

pinhodecarlos 2014-01-01 12:11

RPS made a good job. Congratulations to all members. Hoping that 2014 will be better and better.

pepi37 2014-01-01 16:42

This result can be beaten in this year! Congratulations to all!

pinhodecarlos 2014-12-12 07:14

Three weeks away to 2014 update. Let's see how RPS behaved.

Cheers to all.

Carlos


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