cp's OEIS Frontend

A123364 Primes of the form a^2 + b^3 (with repetition).

%I A123364 #14 Nov 21 2013 13:07:19
%S A123364 2,5,17,17,31,37,43,73,89,89,101,113,127,197,223,233,233,241,257,269,
%T A123364 283,337,347,353,359,379,401,443,449,449,487,521,577,577,593,593,599,
%U A123364 677,701,733,743,811,827,829,919,953,1009,1019,1049,1051,1097,1129,1153
%N A123364 Primes of the form a^2 + b^3 (with repetition).
%C A123364 Primes in A022549, A123291. Cf. A066649 Primes of the form a^2 + b^3 (without repetition), with a, b > 0.
%H A123364 Vincenzo Librandi, <a href="/A123364/b123364.txt">Table of n, a(n) for n = 1..200</a>
%e A123364 Each of 17, 89, 233 appears two times because 17=3^2+2^3=4^2+1^3, 89=5^2+4^3=9^2+2^3, 233=13^2+4^3=15^2+2^3;
%e A123364 2089 appears three times because 2089=19^2+12^3=33^2+10^3=45^2+4^3;
%e A123364 65537 appears four times because 65537=122^2+37^3=219^2+26^3=255^2+8^3=256^2+1^3.
%t A123364 t={}; Do[AppendTo[t, n^2+m^3], {n, 100},{m, 100}]; Take[Select[Sort[t], PrimeQ], 60] (* _Vladimir Joseph Stephan Orlovsky_, Feb 10 2012 *)
%Y A123364 Cf. A022549, A066649, A123291.
%K A123364 nonn
%O A123364 1,1
%A A123364 _Zak Seidov_, Oct 12 2006