A248606 Primes p such that (2*p)^3 - 3 is also prime.

2, 5, 7, 13, 17, 19, 37, 53, 79, 89, 103, 137, 193, 223, 229, 313, 317, 337, 359, 383, 389, 409, 419, 509, 557, 563, 569, 587, 599, 613, 653, 677, 733, 787, 827, 853, 883, 929, 1013, 1069, 1093, 1123, 1163, 1237, 1249, 1277, 1279, 1303, 1373, 1493

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

2 is in this sequence because (2*2)^3 - 3 = 61 where 2 and 61 are both prime.

Mathematica

Select[Prime[Range[250]], PrimeQ[(2#)^3-3]&] (* Harvey P. Dale, May 19 2023 *)

Prog

(Magma) [p: p in PrimesUpTo(1500) | IsPrime((2*p)^3 - 3)];

Crossrefs

Cf. A000040, A241808.

Sequence in context: A023240 A291284 A023204 * A252801 A270617 A045352

Adjacent sequences: A248603 A248604 A248605 * A248607 A248608 A248609

Keyword

nonn

Author

Juri-Stepan Gerasimov, Oct 09 2014

Status

approved