A269789 Primes p such that 2*p + 59 is a square.

11, 31, 83, 151, 191, 283, 811, 983, 1171, 1483, 1831, 2083, 2351, 3251, 3583, 3931, 4111, 4483, 4871, 5483, 6131, 8291, 9631, 11071, 12611, 14251, 14591, 15991, 18211, 20983, 24391, 27583, 29983, 30971, 34031, 35083, 36151, 36691, 37783, 38891, 39451, 40583

Offset: 1

Author

Vincenzo Librandi, Mar 24 2016

Keywords

• nonn

Comments

Primes of the form 2*k^2 + 2*k - 29.

Examples

			a(1) = 11 because 2*11 + 59 = 81, which is a square.
		

Crossrefs

Cf. A000040.

Subsequence of A002144, A045429.

Cf. similar sequences listed in A269784.

Programs

Magma

[p: p in PrimesUpTo(50000) | IsSquare(2*p+59)];

Mathematica

Select[Prime[Range[4500]], IntegerQ[Sqrt[2 # + 59]] &]

PARI

lista(nn) = {forprime(p=2, nn, if(issquare(2*p + 59), print1(p, ", "))); } \\ Altug Alkan, Mar 24 2016