A123364 - OEIS

%I #14 Nov 21 2013 13:07:19

%S 2,5,17,17,31,37,43,73,89,89,101,113,127,197,223,233,233,241,257,269,

%T 283,337,347,353,359,379,401,443,449,449,487,521,577,577,593,593,599,

%U 677,701,733,743,811,827,829,919,953,1009,1019,1049,1051,1097,1129,1153

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

%C Primes in A022549, A123291. Cf. A066649 Primes of the form a^2 + b^3 (without repetition), with a, b > 0.

%H Vincenzo Librandi, <a href="/A123364/b123364.txt">Table of n, a(n) for n = 1..200</a>

%e 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 2089 appears three times because 2089=19^2+12^3=33^2+10^3=45^2+4^3;

%e 65537 appears four times because 65537=122^2+37^3=219^2+26^3=255^2+8^3=256^2+1^3.

%t 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 Cf. A022549, A066649, A123291.

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 12 2006