A336059 Numbers p such that p, 2p-1, 3p-2, 4p-3 are primes.

331, 1531, 3061, 4261, 4951, 6841, 10831, 15391, 18121, 23011, 25411, 26041, 31771, 33301, 40111, 41491, 45061, 49831, 53881, 59341, 65851, 70141, 73771, 78541, 88741, 95461, 96931, 109471, 111721, 112621, 117721, 131311, 133201, 134731, 135301, 150151, 165901

Offset: 1

Author

Jeppe Stig Nielsen, Jul 07 2020

Keywords

• nonn
• easy

Comments

The subset p, 2p-1, 4p-3 is a Cunningham chain of the 2nd kind, cf. A057326.

Links

• Wikipedia, Cunningham chain

Crossrefs

Cf. A005382, A057326, A067257, A237189, A336060.

Programs

Mathematica

Select[Range[10^5], AllTrue[{#, 2# - 1, 3# - 2, 4# - 3}, PrimeQ] &] (* Amiram Eldar, Jul 07 2020 *)

Formula

a(n) = A237189(n) + 1.