A135047 Initial members of an octuplet of generalized Fermat primes: numbers n such that (n+m)^4+1 is prime for m=0,2,4,6,8,10,12 and 14.

10332305196, 15731023654, 202193785336, 417860702688, 427241399860, 648488931216

Offset

1,1

Comments

n^4+1 can be prime for at most eight consecutive even numbers n, otherwise at least one member would be divisible by 17.

Links

Table of n, a(n) for n=1..6.

Example

a(1)=10332305196 because 103323051964^4+1 is prime and (10332305196+m)^4+1 is prime for all even m up to 14.

Crossrefs

Cf. A000068.

Sequence in context: A276590 A259152 A371361 * A017541 A357609 A112453

Adjacent sequences: A135044 A135045 A135046 * A135048 A135049 A135050

Keyword

nonn

Author

Martin Raab, Feb 11 2008

Status

approved