Riesel problem 2

The 2nd Riesel problem involves determining the smallest Riesel numbers k•2ⁿ-1 for 509203 < k < 762701, the first and second Riesel k-values without any possible primes.

 

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m	nmin	nmax	remain	current	target
0	1	1	126,748	0	18,050
1	2	3	108,698	0	27,596
2	4	7	81,102	0	30,503
3	8	15	50,599	0	23,785
4	16	31	26,814	0	13,631
5	32	63	13,183	0	6,613
6	64	127	6,570	0	3,108
7	128	255	3,462	0	1,485
8	256	511	1,977	0	774
9	512	1,023	1,203	0	422
10	1,024	2,047	781	0	228
11	2,048	4,095	553	0	172
12	4,096	8,191	381	110	110
13	8,192	16,383	271	66	66
14	16,384	32,767	205	68	68
15	32,768	65,535	137	29	29
16	65,536	131,071	108	26	26
17	131,072	262,143	82	13	13
18	262,144	524,287	69	0	?
19	524,288	1,048,575	?	0	?
20	1,048,576	∞	?	0	?
unknown	8,000,000	∞	62	-1	-

The current n_max = 8,000,000 as of 2024-03-31.

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