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A226497
The number of primes of the form i^2+j^4 (A028916) <= 10^n.
3
2, 6, 28, 121, 583, 2724, 13175, 64551, 322110, 1621929, 8254127
OFFSET
1,1
COMMENTS
Even if a prime has more than one representation in the form i^2+j^4, it is only counted once.
Iwaniec and Friedlander have proved there is infinity of the primes of the form i^2+j^4.
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[ Union@ lst, # < 10^n &], {n, 12}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Marek Wolf) and Robert G. Wilson v, Jun 09 2013
STATUS
approved