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-   -   Largest k*2^n-1 Primes Found In 2018 (https://www.mersenneforum.org/showthread.php?t=23952)

Thomas11 2019-01-01 00:08

Largest k*2^n-1 Primes Found In 2018
 
Here is the list of 97 largest "Riesel" primes (k*2^n-1, k>1) found in 2018.
(Actually there had been only 97 Riesel primes submitted to the Top5000 list in 2018.)

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2019 at 0005 GMT)

[CODE]
----------------------------------------------------------
r1 r2 description digits who
----------------------------------------------------------
1 18 8508301*2^17016603-1 5122515 L4784
2 56 127*2^6836153-1 2057890 L1862
3 96 43*2^5408183-1 1628027 L1884
4 125 1229*2^4703492-1 1415896 L1828
5 129 79*2^4658115-1 1402235 L1884
6 142 13*2^4333087-1 1304391 L1862
7 149 1091*2^4215518-1 1269001 L1828
8 168 1199*2^3889576-1 1170883 L1828
9 182 265*2^3765189-1 1133438 L2484
10 190 119*2^3698412-1 1113336 L2484
11 198 215*2^3628962-1 1092429 L2484
12 213 119*2^3571416-1 1075106 L2484
13 219 265*2^3564373-1 1072986 L2484
14 225 1103*2^3558176-1 1071121 L1828
15 226 1379*2^3557072-1 1070789 L1828
16 231 1199*2^3548380-1 1068172 L1828
17 446 600921*2^3219922-1 969299 g337
18 453 600921*2^3173683-1 955380 g337
19 471 45*2^3094632-1 931579 L1862
20 483 271*2^3079189-1 926931 L2484
21 559 169*2^2917805-1 878350 L2484
22 583 241*2^2857313-1 860140 L2484
23 616 215*2^2751022-1 828143 L2484
24 623 1981*2^2728877-1 821478 L1134
25 766 303*2^2562423-1 771369 L2017
26 781 311*2^2544778-1 766058 L2017
27 799 241*2^2522801-1 759442 L2484
28 802 199*2^2518871-1 758259 L2484
29 820 319*2^2498685-1 752182 L2017
30 821 321*2^2496594-1 751553 L2235
31 848 325*2^2473267-1 744531 L2017
32 854 119*2^2468556-1 743112 L2484
33 900 239*2^2421404-1 728918 L2484
34 904 303*2^2417452-1 727729 L2235
35 907 333*2^2412735-1 726309 L2017
36 908 83*2^2411962-1 726075 L1959
37 942 321*2^2378535-1 716013 L2017
38 948 97*2^2374485-1 714794 L2484
39 966 305*2^2358854-1 710089 L2017
40 992 105*2^2334755-1 702834 L1959
41 1073 265*2^2258071-1 679750 L2484
42 1130 271*2^2223601-1 669374 L2484
43 1173 169*2^2193049-1 660176 L2484
44 1255 241*2^2135279-1 642786 L2484
45 1259 215*2^2131988-1 641795 L2484
46 1311 217*2^2092673-1 629960 L2484
47 1377 265*2^2051155-1 617462 L2484
48 1695 2655*2^1879275-1 565722 L2484
49 1742 2655*2^1859692-1 559827 L1862
50 1846 10007*2^1811598-1 545350 L1751
51 1867 2415*2^1801615-1 542344 L2484
52 1976 2895*2^1762011-1 530422 L2484
53 1988 2565*2^1758906-1 529487 L2484
54 2016 2955*2^1748957-1 526492 L2484
55 2102 57257*2^1719090-1 517503 L4812
56 2306 2925*2^1657921-1 499088 L2484
57 2385 2325*2^1646536-1 495661 L2484
58 2601 10005*2^1606698-1 483669 L4405
59 2613 320607*2^1604657-1 483056 g337
60 2733 551*2^1583718-1 476750 L3994
61 2737 433*2^1583059-1 476551 L3994
62 2744 471*2^1582593-1 476411 L3994
63 2761 449*2^1579160-1 475378 L3994
64 2778 427*2^1577169-1 474778 L3994
65 2789 557*2^1575504-1 474277 L3994
66 2798 557*2^1571700-1 473132 L3994
67 2832 597*2^1563213-1 470577 L2519
68 2959 939*2^1532143-1 461224 L2257
69 2960 815*2^1531386-1 460997 L2257
70 2968 951*2^1530151-1 460625 L2257
71 2975 633*2^1529603-1 460460 L2257
72 2996 621*2^1524287-1 458859 L2519
73 3003 889*2^1522531-1 458331 L2257
74 3023 741*2^1518755-1 457194 L2017
75 3051 689*2^1512316-1 455256 L2257
76 3053 871*2^1511925-1 455138 L2257
77 3060 607*2^1510953-1 454845 L1978
78 3065 625*2^1509873-1 454520 L2257
79 3133 825*2^1504415-1 452877 L1817
80 3154 691*2^1503141-1 452494 L2257
81 3188 691*2^1500869-1 451810 L1819
82 3216 837*2^1498329-1 451045 L1819
83 3219 855*2^1498084-1 450972 L1819
84 3268 703*2^1494427-1 449871 L2257
85 3270 745*2^1494273-1 449824 L1819
86 3279 975*2^1493869-1 449703 L2257
87 3525 405405*2^1476144-1 444370 L466
88 3835 320607*2^1452298-1 437191 g337
89 4822 78557*2^1383002-1 416330 p401
90 55336 13375563435*2^137137-1 41293 p364
91 55337 13375563435*2^137136-1 41293 p364
92 55794 10429091973*2^135136-1 40691 p364
93 55795 10429091973*2^135135-1 40690 p364
94 56083 73378515705*2^133148-1 40093 L167
95 56084 73378515705*2^133147-1 40093 L167
96 73300 14059969053*2^36672-1 11050 p364
97 85416 101406820312263*2^12042-1 3640 p364
----------------------------------------------------------
[/CODE]The list of 100 largest Riesel primes found in 2017 can be found
[URL]http://www.mersenneforum.org/showthread.php?t=22867[/URL]

pinhodecarlos 2019-01-01 00:17

Thank you Thomas. HNY to all.

Kosmaj 2019-01-02 08:01

Great job Thomas!
Happy New Year and many primes!

Thomas11 2019-01-07 15:10

[QUOTE=Thomas11;504545][I]Actually there had been only [B]97[/B] Riesel primes submitted to the Top5000 list in 2018.[/I]
[/QUOTE]

I'll have to correct myself for the above statement.

To state it more precisely:
As of 01.01.2019 00:05 GMT there had been 97 Riesel primes still listed in the Top5000 list and the associated Top20 lists as found in 2018. The total number of Riesel primes submitted to the list in 2018 was actually higher ([B]116[/B]).

As of 01.01.2019 00:05 GMT the following Riesel primes had already dropped from the list(s):
[CODE]73948 655846766879901*2^33505-1 10101 L4808 2018 Triplet (1)
73951 621988357825221*2^33505-1 10101 L4808 2018 Triplet (1)
73954 122323528364049*2^33507-1 10101 L4808 2018 Triplet (1)
73958 429915684905751*2^33505-1 10101 L4808 2018 Triplet (1)
73961 39708630308943*2^33506-1 10100 L4808 2018 Triplet (1)
73964 8506028064897*2^33508-1 10100 L4808 2018 Triplet (1)
73967 14026913943159*2^33507-1 10100 L4808 2018 Triplet (1)
73970 25458525735903*2^33506-1 10100 L4808 2018 Triplet (1)
73973 90585694774959*2^33503-1 10100 L4808 2018 Triplet (1)
73976 633669130955577*2^33500-1 10100 L4808 2018 Triplet (1)
73979 74594253521889*2^33503-1 10100 L4808 2018 Triplet (1)
73982 275690740456281*2^33501-1 10100 L4808 2018 Triplet (1)
73985 13994628271791*2^33505-1 10100 c88 2018
Triplet (1) (Not an ECPP prime but submitted with an ECPP code)
73988 221033351637921*2^33501-1 10100 L4808 2018 Triplet (1)
73991 202985401217511*2^33501-1 10100 L4808 2018 Triplet (1)
73994 178205491111701*2^33501-1 10100 L4808 2018 Triplet (1)
73998 171013289842167*2^33500-1 10099 L4808 2018 Triplet (1)
74001 145360980646197*2^33500-1 10099 L4808 2018 Triplet (1)
74004 140892134560437*2^33500-1 10099 L4808 2018 Triplet (1)
[/CODE]


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