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

1,1

Comments

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

Links

Table of n, a(n) for n=1..37.

Wikipedia, Cunningham chain

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A038647 A152311 A255155 * A341234 A154083 A237475

Adjacent sequences: A336056 A336057 A336058 * A336060 A336061 A336062

Keyword

nonn,easy

Author

Jeppe Stig Nielsen, Jul 07 2020

Status

approved