PW:Statistics

Countings: Sequences per type

Sequences (per base, k-value or individual number) with own page in this Wiki:

Sequence	Type	counting
Mersenne primes	number	52
Riesel primes k•2n-1	k-value	4,265
Riesel primes k•bn-1, b>2	base	11
Proth primes k•2n+1	k-value	200
Proth primes k•bn+1, b>2	base	9
Carol-Kynea primes (bn±1)2-2	base	382
Williams primes (b-1)•bn-1	base	214
Williams primes (b-1)•bn+1	base	192
Williams primes (b+1)•bn-1	base	132
Williams primes (b+1)•bn+1	base	110
Leyland numbers xy+yx	number	1,814
Leyland numbers xy-yx	number	1
Woodall primes n•bn-1	base	777
Near Woodall primes (n-1)•bn-1	base	4
Near Woodall primes (n+1)•bn-1	base	4
Cullen primes n•bn+1	base	395
Near Cullen primes (n-1)•bn+1	base	1
Near Cullen primes (n+1)•bn+1	base	1
Fermat numbers F(2)	number	152
GF Divisors (2)	number	189
Gen.Fermat numbers xGF(3)	number	22
GF Divisors (3)	number	207
Gen.Fermat numbers xGF(4)	number	5
GF Divisors (4)	number	65
Gen.Fermat numbers xGF(5)	number	26
GF Divisors (5)	number	393
Gen.Fermat numbers xGF(6)	number	15
GF Divisors (6)	number	159
Gen.Fermat numbers xGF(7)	number	38
GF Divisors (7)	number	488
Gen.Fermat numbers xGF(8)	number	30
GF Divisors (8)	number	394
Gen.Fermat numbers xGF(9)	number	25
GF Divisors (9)	number	377
Gen.Fermat numbers xGF(10)	number	27
GF Divisors (10)	number	306
Gen.Fermat numbers xGF(11)	number	69
GF Divisors (11)	number	824
Gen.Fermat numbers xGF(12)	number	26
GF Divisors (12)	number	344
all GF Divisors	number	1432
Gen.Repunit	bases	2

Number classes

General numbers

Integer Natural Even Odd Rational Irrational Real Prime Probable prime

Special numbers

Mersenne 2n-1 Fermat 22n+1 Proth k•2n+1 Riesel k•2n-1 Woodall n•2n-1 Cullen n•2n+1 Double Mersenne 22p-1-1 Perfect 2n-1(2n-1) Leyland xy ± yx Gen.Repunit (b^n-1)/(b-1)

Prime numbers

Mersenne Proth Riesel Williams (b±1)bn±1 Carol/Kynea (bn±1)2-2 Multifactorial n!j±1