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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. 0

%I #3 Mar 31 2012 10:32:55

%S 10332305196,15731023654,202193785336,417860702688,427241399860,

%T 648488931216

%N 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.

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

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

%Y Cf. A000068.

%K nonn

%O 1,1

%A _Martin Raab_, Feb 11 2008

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Last modified September 10 18:51 EDT 2024. Contains 375794 sequences. (Running on oeis4.)