A364077 Numbers k such that (12^k + 1)^2 - 2 is prime.

1, 2, 8, 60, 513, 1047, 7021, 7506, 78858

Offset

1,2

Comments

Such primes are sometimes called Kynea primes of base 12.

Links

Table of n, a(n) for n=1..9.

Prime-Wiki, Carol-Kynea prime.

Eric Weisstein's World of Mathematics, Near-Square Prime.

Prog

(PARI) for(k=1, 1200, ispseudoprime((12^k+1)^2-2)&&print1(k, ", "))

Crossrefs

Cf. A091513 (b=2), A100902 (b=6), A100904 (b=10), A100906 (b=14), A364079 (b=18), A364081 (b=20), A100908 (b=22).

Cf. A364076.

Sequence in context: A027278 A001415 A305730 * A053871 A364395 A208124

Adjacent sequences: A364074 A364075 A364076 * A364078 A364079 A364080

Keyword

nonn,hard,more

Author

Jeppe Stig Nielsen, Jul 03 2023

Status

approved