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A219559
Primes of the form x^3 + 2*y^3, with nonnegative x and y.
0
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
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
KEYWORD
nonn
AUTHOR
Michel Marcus, Nov 23 2012
STATUS
approved