A156048 Odd prime numbers p with the property that (2^p + p^2) == 0 (mod (p+2)).

32377, 10908137, 34030327, 4860035567, 7656800897, 13398374537, 41162676047, 49277997407, 169906146727, 429221023247, 517971170207, 1587472376807, 1692526508927, 2687542461767, 2827976112047, 2918988711407, 3538852646177, 3843606175697, 3868058416007, 4090897510247

Offset: 1

Author

Zak Seidov, Oct 31 2009

Keywords

• nonn

Comments

Subsequence of A114977 and of A156038. - Michel Marcus, Oct 19 2013

Links

• Giovanni Resta, Table of n, a(n) for n = 1..31 (terms < 10^13)

Crossrefs

Cf. A114977, A156038.

Programs

PARI

isok(n) = isprime(n) && (n != 2) && ((2^n+n^2)% (n+2) == 0); \\ Michel Marcus, Oct 19 2013

PARI

is(n)=Mod(2,n+2)^n==-4 && n>2 && isprime(n) \\ Charles R Greathouse IV, Oct 19 2013

Extensions

a(5) from Zak Seidov, Oct 31 2009

a(6)-a(8) from Juri-Stepan Gerasimov, Jan 16 2020

Terms a(9) and beyond from Giovanni Resta, Jan 23 2020