A188459 Numbers k such that 4*k^2 + 4*k + 653 is a prime.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 23, 25, 26, 27, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 64, 66, 68, 69, 70, 71, 74, 76, 77, 78, 79, 80, 83, 87, 88, 89, 90, 91, 92, 94, 97, 98, 99, 102, 106, 107, 108, 113, 114

Offset: 1

Author

Vincenzo Librandi, Apr 01 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1001 [Offset shifted by _Georg Fischer_, Sep 27 2022]

Crossrefs

Cf. A145202 (the corresponding primes).

Programs

Magma

[n: n in [0..250] | IsPrime(4*n^2+4*n+653)]; // Vincenzo Librandi, Apr 01 2011

Mathematica

Select[Range[0,150],PrimeQ[4#^2+4#+653]&]  (* Harvey P. Dale, Apr 02 2011 *)

Extensions

Offset changed to 1 by Georg Fischer, Sep 27 2022