A317255 a(n) = 149836681069944461 + (n-1)*1723457117682300.

149836681069944461, 151560138187626761, 153283595305309061, 155007052422991361, 156730509540673661, 158453966658355961, 160177423776038261, 161900880893720561, 163624338011402861, 165347795129085161, 167071252246767461, 168794709364449761, 170518166482132061

Offset

1,1

Comments

The terms for n = 1..26 are prime. As of Jul 25 2018, this is one of the longest known sequences of primes in arithmetic progression.

Links

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

Jens Kruse Andersen, All known AP24 to AP26.

B. Green and T. Tao, The primes contain arbitrarily long arithmetic progressions, Annals of Math. 167 (2008), 481-547.

PrimeGrid, AP26 Search.

Eric Weisstein's World of Mathematics, Prime Arithmetic Progression.

Wikipedia, Primes in arithmetic progression.

Example

a(26) = 149836681069944461 + 25*7725290*223092870 = 192923109012001961 is prime.

Maple

seq(149836681069944461+(n-1)*1723457117682300, n=1..25);

Mathematica

Table[149836681069944461 + (n - 1) 1723457117682300, {n, 1, 25}]

Prog

(GAP) List([1..25], n->149836681069944461+(n-1)*1723457117682300);

Crossrefs

Cf. A002120, A204189, A260751, A261140, A317163, A317164.

Sequence in context: A198801 A317259 A317914 * A261152 A292634 A308287

Adjacent sequences: A317252 A317253 A317254 * A317256 A317257 A317258

Keyword

nonn,easy

Author

Marco Ripà, Jul 25 2018

Status

approved