A268987 Primes of the form k^(k + 1) + k - 1.

83, 15629, 279941, 3486784409, 6568408355712890639

Offset: 1

Author

Soumadeep Ghosh, Feb 16 2016

Keywords

• nonn

Comments

The next prime has 171 digits. - Vincenzo Librandi, Feb 17 2016

Subsequence of primes of A155499. - Michel Marcus, Feb 20 2016

Links

• Factordb, n^(n + 1) + n - 1.

Crossrefs

Cf. A155499, A161471, A161472, A187602, A187605.

Cf. A309140 (the corresponding values of k).

Programs

Magma

[a: n in [0..100] | IsPrime(a) where a is n^(n+1)+n-1]; // Vincenzo Librandi, Feb 17 2016

Mathematica

Select[Table[n^(n + 1) + n - 1, {n, 1, 50}], ProvablePrimeQ[#] &]

PARI

lista(nn) = for(k=1, nn, if(ispseudoprime(q=k^(k+1)+k-1), print1(q, ", "))); \\ Jinyuan Wang, Mar 01 2020