A309855 Primes p such that 2*p^5-1 is also prime.

7, 151, 379, 547, 631, 727, 769, 1531, 1627, 1741, 1789, 1999, 2131, 2437, 2659, 2797, 2857, 2917, 3217, 3331, 3511, 3919, 3931, 4591, 4651, 4759, 4801, 4831, 4957, 5281, 5689, 5701, 5779, 5821, 5881, 6067, 6217, 6361, 6619, 6871, 7039, 7309, 7489, 7927, 8179, 8221, 8329, 8581, 8641

Offset: 1

Author

R. J. Mathar, Aug 20 2019

Keywords

• nonn

Links

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

Crossrefs

Cf. A182785 (2*p^4-1 prime), A177104 (2*p^3-1 prime), A309854 (2*n^5-1 prime).

Programs

Mathematica

Select[Range[10000], PrimeQ[#]&&PrimeQ[2*(#^5)-1] &] (* Metin Sariyar, Aug 21 2019 *)
Select[Prime[Range[1100]],PrimeQ[2#^5-1]&] (* Harvey P. Dale, Jul 19 2025 *)

Formula

A000040 INTERSECT A309854.