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

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

Offset: 1

Author

Marco Ripà, Jul 23 2018

Keywords

• nonn
• easy

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.

Examples

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

Links

• Jens Kruse Andersen, All known AP24 to AP26.
• Wikipedia, Largest known primes in AP.

Crossrefs

Cf. A002110, A204189, A260751, A261140.

Programs

GAP

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

Maple

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

Mathematica

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

Formula

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