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

Author

Juri-Stepan Gerasimov, Oct 09 2014

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A000040, A241808.

Programs

Magma

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

Mathematica

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