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A256863 Primes that can't be written in form a^2 + b^4. 3

%I

%S 3,7,11,13,19,23,29,31,43,47,53,59,61,67,71,73,79,83,89,103,107,109,

%T 113,127,131,139,149,151,157,163,167,173,179,191,193,199,211,223,227,

%U 229,233,239,251,263,269,271,283,293,307,311,313,317,331,347,349,353

%N Primes that can't be written in form a^2 + b^4.

%C Complement of A028916;

%C A256852(A049084(a(n))) = 0.

%H Reinhard Zumkeller, <a href="/A256863/b256863.txt">Table of n, a(n) for n = 1..10000</a>

%t Reap[Do[If[Reduce[p == a^2 + b^4, {a, b}, Integers] === False, Sow[p]], {p, Prime[Range[80]]}]][[2, 1]] (* _Jean-Fran├žois Alcover_, Jan 31 2018 *)

%o (Haskell)

%o a256863 n = a256863_list !! (n-1)

%o a256863_list = map a000040 $ filter ((== 0) . a256852) [1..]

%Y Cf. A028916, A000290, A000583, A000040, A256852.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Apr 11 2015

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Last modified January 17 22:49 EST 2019. Contains 319251 sequences. (Running on oeis4.)