A360591 Primes in A360464.

2, 3, 5, 7, 17, 29, 43, 59, 97, 193, 251, 277, 389, 439, 491, 577, 601, 659, 719, 911, 1049, 1237, 1429, 1511, 1951, 2141, 2239, 2293, 2339, 2441, 3329, 3449, 3571, 3637, 3821, 3889, 4079, 4211, 4481, 4759, 5569, 5641, 6269, 6761, 7537, 7621, 8161, 8629, 8719

Offset

1,1

Comments

This sequence is finite and a(103) = A360464(457) = 61861 is the last term here, since A360464(k) is divisible by 5 for all k >= 458.

Links

Table of n, a(n) for n=1..49.

Formula

A000040 intersect A360464.

Mathematica

s[1] = s[2] = s[3] = 1; s[n_] := s[n] = s[n - 1] + s[n - 2] - s[n - 3] + GCD[s[n - 1], s[n - 3]]; Select[Array[s, 180], PrimeQ] (* Amiram Eldar, Feb 24 2023 *)

Crossrefs

Cf. A000040, A360464.

Sequence in context: A262836 A356475 A178382 * A289757 A030480 A048418

Adjacent sequences: A360588 A360589 A360590 * A360592 A360593 A360594

Keyword

nonn,fini

Author

Jack Braxton, Feb 12 2023

Status

approved