A182348 Primes of the form n^4 - 3.

13, 4093, 1048573, 1336333, 2085133, 4477453, 16777213, 54700813, 92236813, 116985853, 146409997, 236421373, 285609997, 479785213, 959512573, 1003875853, 1097199373, 1303209997, 1871773693, 2097273613, 2342559997

Offset

1,1

Links

Table of n, a(n) for n=1..21.

Example

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

Maple

# choose N large, then S is the desired set
f:=n->n^4 - 3:
S:={}:
for n from 0 to N do if(isprime(f(n))) then S:=S union {f(n)}: fi: od:

Crossrefs

Cf. A037896.

Sequence in context: A180768 A330905 A068532 * A094316 A270068 A174310

Adjacent sequences: A182345 A182346 A182347 * A182349 A182350 A182351

Keyword

nonn

Author

Patrick Devlin, Apr 25 2012

Status

approved