OFFSET
1,3
COMMENTS
Iwaniec and Friedlander have proved there is infinity of the primes of the form i^2 + j^4.
Counted with double representations. If we do not count doubles, the sequence is A226498.
EXAMPLE
2 = 1^2+1^4, 5 = 2^2+1^4, 17 = 4^2+1^4 = 1^2+2^4, ..., 97 = 9^2+2^4 = 4^2+3^4, etc.
MATHEMATICA
mx = 2^40; lst = {}; Do[a = i^2 + j^4; If[ PrimeQ[a], AppendTo[ lst, a]], {i, Sqrt[mx]}, {j, Sqrt[ Sqrt[mx - i^2]]}]; Table[ Length@ Select[lst, # <2^n &], {n, 40}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Marek Wolf) and Robert G. Wilson v, Jun 09 2013
STATUS
approved