Riesel problem 3

The 3rd Riesel problem involves determining the smallest Riesel numbers k•2ⁿ-1 for 762701 < k < 777149, the second and third Riesel k-values without any possible primes.

 

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m	nmin	nmax	remain	current	target
0	1	1	7,223	0	1,014
1	2	3	6,209	4	1,552
2	4	7	4,657	2	1,746
3	8	15	2,911	4	1,357
4	16	31	1,554	2	803
5	32	63	751	0	380
6	64	127	371	0	168
7	128	255	203	0	88
8	256	511	115	0	50
9	512	1,023	65	2	29
10	1,024	2,047	36	7	7
11	2,048	4,095	29	6	6
12	4,096	8,191	23	6	6
13	8,192	16,383	17	2	2
14	16,384	32,767	15	3	3
15	32,768	65,535	12	2	2
16	65,536	131,071	10	3	3
17	131,072	262,143	7	2	2
18	262,144	524,287	5	0	0
19	524,288	1,048,576	5	1	≥ 1
unknown	524,288	∞	-1	0	-1

Multi Reservation 20: The current n_max = 1,000,000 as of 2023-06-29.

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