RPS Megabit Drive 1

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Purpose

The goal of this drive is to search for primes of the form k•2ⁿ-1 for k ≤ 300 and n > 1000000.

Started

• 2010-10-24

Ended

• ongoing

k-values

2010-10-24: k = 51, 57, 61, 65, 69, 87 for n > 1,000,000

2011-01-26: adding k = 47, 53 for n > 1,000,000

2014-08-12: removing k = 51, 69 for n > 2,500,000

2014-08-12: adding k = 35 for n > 2,520,000, k = 37 for n > 2,500,000 only n != 1 mod 10, k = 103 for n ≥ 2,550,223, and k = 111 for n ≥ 2,601,487

currently k = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111

Sieve file

Sieve file for 3,000,000 < n < 4,000,000 available here (LLR-format, 291,383 candidates).

Multi Reservation

• Here: The current n_max = 3,100,000 as of 2020-11-12.

Data table

Number of candidates for n ≤ 3100000.

k-value	Nash	Candidates	n-range	prime(s) for n
35	1264	12517	2520000 -
37 x	630	5303	2500000 -
47	922	33673	1000000 -	1025950
51	1550	40591	1000000 - 2500000	1026910, 1027635, 1231665
53	1368	46485	1000000 -	1632590
57	2672	94011	1000000 -	1098272, 1110980, 1486214, 2103370, 2639528, 3093440
61	2170	79949	1000000 -	1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
65	2034	71164	1000000 -	1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
69	3438	87057	1000000 - 2500000	1473217, 1566375, 2174213, 2410035, 2428251
87	2839	101880	1000000 -	1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
103	1373	12918	2550223 -
111	2954	24336	2601487 -	3060238

x - Only n != 1 mod 10 is searched.

External Links

• Thread at MersenneForum

Riesel Prime Search

Miscellaneous

Main

Current work

Megabit Drive‎ 1

Completed

Drive 1 Drive 2 Drive 3 Drive 4 Drive 5 Drive 6 Drive 7 Drive 8 Drive 9 Drive 10 Drive 11 Drive 12 Megabit Drive‎ 2 Megabit Drive‎ 3

Individual k-searches

k=5 k=15 k=17

Others