A073476 Numbers k such that k^4 + 1, (k+2)^4 + 1 and (k+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

Author

Martin Raab, Aug 26 2002

Keywords

• nonn

Examples

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

Links

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

Crossrefs

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

Programs

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] & ]

Extensions

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