A118660 Numbers k such that 4*k^4 + 3 is prime.

0, 1, 2, 5, 11, 16, 47, 49, 52, 53, 68, 73, 77, 86, 91, 115, 128, 140, 143, 166, 170, 182, 206, 220, 224, 229, 263, 271, 278, 284, 287, 340, 341, 353, 359, 362, 380, 382, 388, 395, 401, 403, 413, 415, 427, 437, 476, 497, 506, 515, 523, 598, 611, 619, 625, 647

Offset

1,3

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Formula

A000040(t)=4*k^4+3 - R. J. Mathar, May 30 2006

Example

If k=91 then 4*k^4 + 3 = 274299847 (prime).

Mathematica

Select[Range[0, 700], PrimeQ[4#^4+3]&] (* Harvey P. Dale, Dec 06 2015 *)

Prog

(PARI) isA118660(n)= { if(isprime(4*n^4+3), return(1), return(0) ); } { for(n=0, 6000, if(isA118660(n)==1, print1(n, ", ") ); ); } \\ R. J. Mathar, May 30 2006

Crossrefs

Sequence in context: A081402 A281023 A359399 * A009770 A132121 A070957

Adjacent sequences: A118657 A118658 A118659 * A118661 A118662 A118663

Keyword

nonn

Author

Parthasarathy Nambi, May 24 2006

Extensions

More terms from R. J. Mathar, May 30 2006

Status

approved