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A123364 Primes of the form a^2 + b^3 (with repetition). 5
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 (list; graph; refs; listen; history; text; internal format)
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 A025553 A075544

Adjacent sequences:  A123361 A123362 A123363 * A123365 A123366 A123367

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 12 2006

STATUS

approved

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Last modified March 24 01:20 EDT 2019. Contains 321444 sequences. (Running on oeis4.)