Riesel 4 Riesel

Riesel numbers base 4 are numbers where k !≡ 0 mod 4 for which k•4ⁿ-1 is composite for all natural numbers n and has a finite covering set of two or more distinct factors.

See also

• OEIS sequence A251757 is a subset of these numbers.

Table

There are 3 sequences in this Wiki:

k	Covering set
39939	[5, 7, 13, 19, 73, 109]
56169	[5, 7, 13, 17, 241]
345354	[5, 7, 13, 17, 241]

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