A070174 Primes p such that (p^2)! and 2^(p^2)-1 are not relatively prime.

2, 3, 11, 23, 29, 37, 43, 73, 79, 83, 113, 131, 151, 179, 191, 197, 211, 223, 233, 239, 251, 263, 283, 317, 337, 359, 367, 397, 419, 431, 443, 461, 463, 487, 491, 499, 547, 557, 571, 577, 593, 601, 617, 619, 641, 659, 683, 719

Offset

1,1

Comments

If q is an odd prime (p^2)! and q^(p^2)-1 are not relatively primes for any p prime.

Links

Table of n, a(n) for n=1..48.

Mathematica

Select[Prime[Range[130]], !CoprimeQ[(#^2)!, 2^#^2-1]&] (* Harvey P. Dale, Jan 15 2022 *)

Prog

(PARI) forprime(n=1, 263, if(gcd((n^2)!, 2^(n^2)-1)>1, print1(n, ", ")))

Crossrefs

Cf. A069180.

Sequence in context: A339753 A236168 A235634 * A320393 A350853 A080153

Adjacent sequences: A070171 A070172 A070173 * A070175 A070176 A070177

Keyword

easy,nonn

Author

Benoit Cloitre, May 06 2002

Extensions

More terms from Ralf Stephan, Oct 14 2002

Status

approved