A258944 Odd primes p that divide 2! + 3! + ... + (p-1)!.

31, 373, 6855730873

Offset: 1

Author

Jeppe Stig Nielsen, Nov 07 2015

Keywords

• nonn
• hard
• more

Comments

In other words, the odd primes p that divide A003422(p) - 2. Or the primes p with A049782(p) = 2.

Andrejic and Tatarevic found a(3).

Links

• Vladica Andrejic and Milos Tatarevic, Searching for a counterexample of Kurepa's Conjecture, arXiv:1409.0800 [math.NT], 2014.

Crossrefs

Cf. A003422, A049782, A100612.

Programs

PARI

forprime(p=3, 1e11, if(sum(k=2, p-1, k!) % p==0, print1(p, ", "))); \\ Altug Alkan, Nov 08 2015