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-   -   Largest k*2^n-1 Primes Found In 2019 (https://www.mersenneforum.org/showthread.php?t=25058)

Thomas11 2020-01-01 00:26

Largest k*2^n-1 Primes Found In 2019
 
Here is the list of 78 largest "Riesel" primes (k*2^n-1, k>1) found in 2019.
(Again less than 100 Riesel primes have been submitted to the Top5000 list in 2019.)

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2020 at 0020 GMT)

[CODE]
----------------------------------------------------------
r1 r2 description digits who
----------------------------------------------------------
1 21 2740879*2^13704395-1 4125441 L4976
2 53 11*2^7971110-1 2399545 L2484
3 58 101*2^7345194-1 2211126 L1884
4 133 223*2^5105835-1 1537012 L2484
5 198 97*2^4066717-1 1224206 L2484
6 223 241*2^3815727-1 1148651 L2484
7 575 2973510903*2^3321910-1 1000005 L4960
8 576 2848144257*2^3321910-1 1000005 L4960
9 577 2820058827*2^3321910-1 1000005 L4960
10 578 2601087525*2^3321910-1 1000004 L4960
11 579 2386538565*2^3321910-1 1000004 L4960
12 580 2272291887*2^3321910-1 1000004 L4960
13 581 2167709265*2^3321910-1 1000004 L4960
14 582 2087077797*2^3321910-1 1000004 L4960
15 583 1848133623*2^3321910-1 1000004 L4960
16 584 1825072257*2^3321910-1 1000004 L4960
17 585 1633473837*2^3321910-1 1000004 L4960
18 586 1228267623*2^3321910-1 1000004 L4808
19 587 1148781333*2^3321910-1 1000004 L4808
20 588 1065440787*2^3321910-1 1000004 L4808
21 589 1055109357*2^3321910-1 1000004 L4960
22 590 992309607*2^3321910-1 1000004 L4808
23 591 926102325*2^3321910-1 1000004 L4808
24 592 892610007*2^3321910-1 1000004 L4960
25 593 763076757*2^3321910-1 1000004 L4960
26 594 607766997*2^3321910-1 1000004 L4808
27 595 539679177*2^3321910-1 1000004 L4808
28 596 425521077*2^3321910-1 1000004 L4808
29 597 132940575*2^3321910-1 1000003 L4808
30 687 10001*2^3075602-1 925853 L4405
31 802 199*2^2835667-1 853624 L2484
32 1028 333*2^2591874-1 780235 L2017
33 1306 231*2^2335281-1 702992 L1862
34 1360 4761657101009*2^2292504-1 690126 L257
35 1479 4207801666259*2^2211084-1 665616 L257
36 1525 135*2^2180256-1 656325 L1959
37 1543 187*2^2172693-1 654049 L1959
38 1607 185*2^2127966-1 640584 L1959
39 1619 117*2^2117600-1 637464 L1959
40 1672 159*2^2081069-1 626467 L1959
41 1741 57257*2^2040062-1 614125 L4812
42 1837 2955*2^1991780-1 599589 L1862
43 2023 10005*2^1906876-1 574031 L4405
44 2032 10005*2^1898938-1 571642 L4405
45 2042 10005*2^1892466-1 569694 L4405
46 2073 10005*2^1876648-1 564932 L4405
47 2104 10005*2^1864432-1 561254 L4405
48 2258 320607*2^1800434-1 541991 g337
49 3339 427*2^1593361-1 479653 L1819
50 3352 555*2^1591677-1 479146 L2017
51 3368 427*2^1590349-1 478746 L2017
52 3558 987*2^1551973-1 467194 L1817
53 3564 649*2^1551271-1 466982 L1817
54 3572 669*2^1550535-1 466761 L1817
55 3575 765*2^1550239-1 466672 L1817
56 3582 903*2^1549834-1 466550 L1817
57 3679 849*2^1542241-1 464264 L1817
58 3756 799*2^1536061-1 462404 L2257
59 3760 621*2^1535722-1 462302 L2257
60 3764 965*2^1535500-1 462235 L2257
61 3777 849*2^1534483-1 461929 L2257
62 3800 927*2^1533160-1 461531 L2257
63 3803 747*2^1532798-1 461422 L2257
64 4079 2175*2^1512256-1 455238 L1862
65 4457 2175*2^1484389-1 446849 L1862
66 5215 2175*2^1430261-1 430555 L1862
67 55930 21195711*2^143631-1 43245 L3494
68 55931 21195711*2^143630-1 43245 L3494
69 55948 838269645*2^143166-1 43107 L3494
70 55949 838269645*2^143165-1 43106 L3494
71 55950 570409245*2^143164-1 43106 L3494
72 55952 570409245*2^143163-1 43106 L3494
73 55955 2830598517*2^143113-1 43091 L3494
74 55956 2830598517*2^143112-1 43091 L3494
75 55957 4158932595*2^143074-1 43080 L3494
76 55958 4158932595*2^143073-1 43079 L3494
77 65800 4111286921397*2^66420-1 20008 L4808
78 75030 667674063382677*2^33608-1 10132 L4808
----------------------------------------------------------
[/CODE]
The list of 97 largest Riesel primes found in 2018 can be found [URL="http://www.mersenneforum.org/showthread.php?t=23952"]here[/URL].

rudy235 2020-01-01 01:51

[QUOTE=Thomas11;533859]Here is the list of 78 largest "Riesel" primes (k*2^n-1, k>1) found in 2019.
(Again less than 100 Riesel primes have been submitted to the Top5000 list in 2019.)

Meaning of rank marks:
r1, rank on this list
r2, rank on the list of all known primes (as of January 1, 2020 at 0020 GMT)

[CODE]
----------------------------------------------------------
r1 r2 description digits who
----------------------------------------------------------
1 21 2740879*2^13704395-1 4125441 L4976
2 53 11*2^7971110-1 2399545 L2484
3 58 101*2^7345194-1 2211126 L1884
4 133 223*2^5105835-1 1537012 L2484
5 198 97*2^4066717-1 1224206 L2484
6 223 241*2^3815727-1 1148651 L2484
7 575 2973510903*2^3321910-1 1000005 L4960
8 576 2848144257*2^3321910-1 1000005 L4960
9 577 2820058827*2^3321910-1 1000005 L4960
10 578 2601087525*2^3321910-1 1000004 L4960
11 579 2386538565*2^3321910-1 1000004 L4960
12 580 2272291887*2^3321910-1 1000004 L4960
13 581 2167709265*2^3321910-1 1000004 L4960
14 582 2087077797*2^3321910-1 1000004 L4960
15 583 1848133623*2^3321910-1 1000004 L4960
16 584 1825072257*2^3321910-1 1000004 L4960
17 585 1633473837*2^3321910-1 1000004 L4960
18 586 1228267623*2^3321910-1 1000004 L4808
19 587 1148781333*2^3321910-1 1000004 L4808
20 588 1065440787*2^3321910-1 1000004 L4808
21 589 1055109357*2^3321910-1 1000004 L4960
22 590 992309607*2^3321910-1 1000004 L4808
23 591 926102325*2^3321910-1 1000004 L4808
24 592 892610007*2^3321910-1 1000004 L4960
25 593 763076757*2^3321910-1 1000004 L4960
26 594 607766997*2^3321910-1 1000004 L4808
27 595 539679177*2^3321910-1 1000004 L4808
28 596 425521077*2^3321910-1 1000004 L4808
29 597 132940575*2^3321910-1 1000003 L4808
30 687 10001*2^3075602-1 925853 L4405
31 802 199*2^2835667-1 853624 L2484
32 1028 333*2^2591874-1 780235 L2017
33 1306 231*2^2335281-1 702992 L1862
34 1360 4761657101009*2^2292504-1 690126 L257
35 1479 4207801666259*2^2211084-1 665616 L257
36 1525 135*2^2180256-1 656325 L1959
37 1543 187*2^2172693-1 654049 L1959
38 1607 185*2^2127966-1 640584 L1959
39 1619 117*2^2117600-1 637464 L1959
40 1672 159*2^2081069-1 626467 L1959
41 1741 57257*2^2040062-1 614125 L4812
42 1837 2955*2^1991780-1 599589 L1862
43 2023 10005*2^1906876-1 574031 L4405
44 2032 10005*2^1898938-1 571642 L4405
45 2042 10005*2^1892466-1 569694 L4405
46 2073 10005*2^1876648-1 564932 L4405
47 2104 10005*2^1864432-1 561254 L4405
48 2258 320607*2^1800434-1 541991 g337
49 3339 427*2^1593361-1 479653 L1819
50 3352 555*2^1591677-1 479146 L2017
51 3368 427*2^1590349-1 478746 L2017
52 3558 987*2^1551973-1 467194 L1817
53 3564 649*2^1551271-1 466982 L1817
54 3572 669*2^1550535-1 466761 L1817
55 3575 765*2^1550239-1 466672 L1817
56 3582 903*2^1549834-1 466550 L1817
57 3679 849*2^1542241-1 464264 L1817
58 3756 799*2^1536061-1 462404 L2257
59 3760 621*2^1535722-1 462302 L2257
60 3764 965*2^1535500-1 462235 L2257
61 3777 849*2^1534483-1 461929 L2257
62 3800 927*2^1533160-1 461531 L2257
63 3803 747*2^1532798-1 461422 L2257
64 4079 2175*2^1512256-1 455238 L1862
65 4457 2175*2^1484389-1 446849 L1862
66 5215 2175*2^1430261-1 430555 L1862
67 55930 21195711*2^143631-1 43245 L3494
68 55931 21195711*2^143630-1 43245 L3494
69 55948 838269645*2^143166-1 43107 L3494
70 55949 838269645*2^143165-1 43106 L3494
71 55950 570409245*2^143164-1 43106 L3494
72 55952 570409245*2^143163-1 43106 L3494
73 55955 2830598517*2^143113-1 43091 L3494
74 55956 2830598517*2^143112-1 43091 L3494
75 55957 4158932595*2^143074-1 43080 L3494
76 55958 4158932595*2^143073-1 43079 L3494
77 65800 4111286921397*2^66420-1 20008 L4808
78 75030 667674063382677*2^33608-1 10132 L4808
----------------------------------------------------------
[/CODE]
The list of 97 largest Riesel primes found in 2018 can be found [URL="http://www.mersenneforum.org/showthread.php?t=23952"]here[/URL].[/QUOTE]


Thank you. Nice job! :smile:

VBCurtis 2020-01-01 05:32

I snuck one in under the buzzer:
167 · 2^3077568 - 1 ‏(‎926443 digits) via code L1862 on 12/31/2019


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