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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 26 17:38 EDT 2021. Contains 348268 sequences. (Running on oeis4.)