A219559 Primes of the form x^3 + 2*y^3, with nonnegative x and y.

2, 3, 17, 29, 43, 127, 251, 277, 359, 593, 857, 1051, 1367, 1459, 1753, 2213, 2447, 3221, 3391, 4421, 4519, 7109, 7883, 8219, 8317, 9277, 9511, 15641, 16561, 16649, 18523, 19699, 19853, 20359, 20707, 20719, 24077, 24391, 24517, 24677, 30689, 31193, 31277, 34147

Offset

1,1

Links

Table of n, a(n) for n=1..44.

D. R. Heath-Brown, Primes represented by x^3+2*y^3, Acta Mathematica 2001, Volume 186, Issue 1, pp 1-84.

Example

43 is in the sequence since 43 is prime and 43 = 3^3 + 2*2^3.

Prog

(PARI) okprime(n) = {for (i=0, floor(sqrtn(n, 3)), d = n - i^3; if (d % 2 == 0, y = sqrtn(d/2, 3); if (y == floor(y), write("hb.log", n, " = ", i, "^3 + 2*", floor(y), "^3"); return(1); ); ); ); return (0); }

Crossrefs

Sequence in context: A084445 A215303 A215280 * A193051 A217688 A263570

Adjacent sequences: A219556 A219557 A219558 * A219560 A219561 A219562

Keyword

nonn

Author

Michel Marcus, Nov 23 2012

Status

approved