Riesel problem 4

The 4th Riesel problem involves determining the smallest Riesel numbers k•2ⁿ-1 for 777,149 < k < 790,841, the third and fourth Riesel k-values without any possible primes.

 

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m	nmin	nmax	remain	current	target
0	1	1	6,845	0	957
1	2	3	5,888	1	1,472
2	4	7	4,416	2	1,648
3	8	15	2,768	3	1,276
4	16	31	1,492	2	769
5	32	63	723	0	352
6	64	127	371	0	171
7	128	255	200	0	84
8	256	511	116	0	39
9	512	1,023	77	0	37
10	1,024	2,047	40	11	11
11	2,048	4,095	29	12	12
12	4,096	8,191	17	5	5
13	8,192	16,383	12	2	2
14	16,384	32,767	10	2	2
15	32,768	65,535	8	3	3
16	65,536	131,071	5	1	1
17	131,072	262,143	4	1	1
18	262,144	524,287	3	2	2
19	524,288	1,048,575	1	0	≥ 0
unknown	1,048,576	∞	1	0	1

Multi Reservation 23: The current n_max = 2,000,000 as of 2024-09-06.

Riesel primes

Base = 2 :

Miscellaneous

Riesel prime Riesel problem 1 Riesel problem 2 Riesel problem 3 Riesel problem 4 Riesel numbers Least n (k≤12)

Tables

1-300 300-2000 2000-4000 4000-6000 6000-8000 8000-10000 104-105 105-106 106-107 107-108 108-109 109-1010 1010-∞

Categories

1-300 300-2000 2000-4000 4000-6000 6000-8000 8000-10000 104-105 105-106 106-107 107-108 108-109 109-1010 1010-∞

Others

3k 15k 2145k 2805k 0 primes 100+ primes Riesel numbers Missing ranges

Other categories

Missing ranges Low weight No Sophie Germain No twin Count 0 Constant n

Other bases

3 4 5 10 16 128 263 284