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Primes of the form n^4 - 3.
0

%I #10 Apr 26 2012 12:19:06

%S 13,4093,1048573,1336333,2085133,4477453,16777213,54700813,92236813,

%T 116985853,146409997,236421373,285609997,479785213,959512573,

%U 1003875853,1097199373,1303209997,1871773693,2097273613,2342559997

%N Primes of the form n^4 - 3.

%e 13 = 2^4 - 3; 4093 = 8^4 - 3.

%p # choose N large, then S is the desired set

%p f:=n->n^4 - 3:

%p S:={}:

%p for n from 0 to N do if(isprime(f(n))) then S:=S union {f(n)}: fi: od:

%Y Cf. A037896.

%K nonn

%O 1,1

%A _Patrick Devlin_, Apr 25 2012