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

2, 5, 17, 17, 31, 37, 43, 73, 89, 89, 101, 113, 127, 197, 223, 233, 233, 241, 257, 269, 283, 337, 347, 353, 359, 379, 401, 443, 449, 449, 487, 521, 577, 577, 593, 593, 599, 677, 701, 733, 743, 811, 827, 829, 919, 953, 1009, 1019, 1049, 1051, 1097, 1129, 1153

Offset

1,1

Comments

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Example

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;
2089 appears three times because 2089=19^2+12^3=33^2+10^3=45^2+4^3;
65537 appears four times because 65537=122^2+37^3=219^2+26^3=255^2+8^3=256^2+1^3.

Mathematica

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 *)

Crossrefs

Cf. A022549, A066649, A123291.

Sequence in context: A206029 A057282 A276767 * A247857 A367784 A025553

Adjacent sequences: A123361 A123362 A123363 * A123365 A123366 A123367

Keyword

nonn

Author

Zak Seidov, Oct 12 2006

Status

approved