cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A226497 The number of primes of the form i^2+j^4 (A028916) <= 10^n.

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%I A226497 #12 Nov 03 2024 02:13:11
%S A226497 2,6,28,121,583,2724,13175,64551,322110,1621929,8254127
%N A226497 The number of primes of the form i^2+j^4 (A028916) <= 10^n.
%C A226497 Even if a prime has more than one representation in the form i^2+j^4, it is only counted once.
%C A226497 Iwaniec and Friedlander have proved there is infinity of the primes of the form i^2+j^4.
%t A226497 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}]
%Y A226497 Cf. A028916, A226495, A226496 & A226498.
%K A226497 nonn,more
%O A226497 1,1
%A A226497 _Marek Wolf_ and _Robert G. Wilson v_, Jun 09 2013