A073476 n^4 + 1, (n+2)^4 + 1 and (n+4)^4 + 1 are all primes.

2, 2222, 2732, 3998, 5356, 5358, 5626, 8034, 9402, 9972, 10006, 10930, 12188, 12322, 12702, 13372, 14536, 15038, 15962, 21396, 24704, 25446, 27118, 29566, 36126, 36604, 36732, 36734, 37550, 37552, 37554, 44176, 44218, 48164, 48978

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..1000

Example

2222^4+1, 2224^4+1 and 2226^4+1 are prime

Maple

N:= 10^5: # to get all terms <= N
R:= select(t -> isprime(t^4+1), [seq(i, i=2..N, 2)]):
V:= select(i -> R[i+2]=R[i]+4, [$1..nops(R)-2]):
R[V]; # Robert Israel, Apr 20 2017

Mathematica

Select[Range[5000], PrimeQ[ #^4 + 1] && PrimeQ[(# + 2)^4 + 1] && PrimeQ[(# + 4)^4 + 1] & ]

Crossrefs

Cf. A000068, n such that n^4+1 is prime.

Sequence in context: A368480 A365179 A028487 * A051103 A005800 A200170

Adjacent sequences: A073473 A073474 A073475 * A073477 A073478 A073479

Keyword

nonn

Author

Martin Raab, Aug 26 2002

Extensions

More terms from Robert G. Wilson v, Aug 28 2002

Status

approved