A364079 Numbers k such that (18^k + 1)^2 - 2 is prime.

1, 10, 21, 25, 31, 1083, 40485, 82516

Offset: 1

Author

Jeppe Stig Nielsen, Jul 03 2023

Keywords

• nonn
• hard
• more

Comments

Such primes are sometimes called Kynea primes of base 18.

Links

• Prime-Wiki, Carol-Kynea prime.
• Eric Weisstein's World of Mathematics, Near-Square Prime.

Crossrefs

Cf. A091513 (b=2), A100902 (b=6), A100904 (b=10), A364077 (b=12), A100906 (b=14), A364081 (b=20), A100908 (b=22).

Cf. A364078.

Programs

PARI

for(k=1,1200,ispseudoprime((18^k+1)^2-2)&&print1(k,", "))