A317163 a(n) = 48277590120607451 + (n-1)*8440735245322380.

48277590120607451, 56718325365929831, 65159060611252211, 73599795856574591, 82040531101896971, 90481266347219351, 98922001592541731, 107362736837864111, 115803472083186491, 124244207328508871, 132684942573831251, 141125677819153631, 149566413064476011

Offset

1,1

Comments

a(1), a(2), ..., a(26) are prime. As of Jul 23 2018, this is one of the longest known sequences of primes in arithmetic progression, and was found by Bruce E. Slade in 2017.

Links

Table of n, a(n) for n=1..13.

Jens Kruse Andersen, All known AP24 to AP26.

Wikipedia, Largest known primes in AP.

Formula

a(n) = 48277590120607451 + a(n-1)*37835074*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870.

Example

a(26) = 48277590120607451 + 25*37835074*223092870 = 259295971253666951 is prime.

Maple

seq(48277590120607451+(n-1)*8440735245322380, n=1..26); # Marco Ripà, Aug 10 2018

Mathematica

Table[48277590120607451 + (n - 1) 8440735245322380, {n, 1, 26}]

Prog

(GAP) List([1..26], n->55837783597462913+(n-1)*13858932213216090); # Marco Ripà, Aug 10 2018

Crossrefs

Cf. A002110, A204189, A260751, A261140.

Sequence in context: A038362 A038363 A204189 * A051167 A155057 A329223

Adjacent sequences: A317160 A317161 A317162 * A317164 A317165 A317166

Keyword

nonn,easy

Author

Marco Ripà, Jul 23 2018

Status

approved