A088296 Values of y - x, where x^2 + xy + y^2=p (x<y) is a prime of the form 6n + 1 (=A002476).

1, 2, 1, 4, 1, 5, 1, 5, 7, 4, 5, 7, 2, 1, 7, 4, 11, 8, 7, 2, 11, 13, 5, 7, 14, 1, 5, 7, 16, 13, 1, 5, 14, 4, 13, 8, 1, 7, 19, 2, 13, 10, 20, 19, 11, 8, 17, 1, 16, 11, 23, 20, 10, 17, 1, 7, 11, 13, 8, 22, 5, 7, 16, 11, 26, 2, 25, 19, 5, 7, 23, 13, 25, 8, 19, 1, 26, 20, 17, 10, 19, 14, 5, 7, 23

Offset

1,2

Links

Table of n, a(n) for n=1..85.

Mathematica

Reap[For[n = 1, n <= 200, n++, If[PrimeQ[p = 6 n + 1], s = Solve[x^2 + x y + y^2 == p && 0 < x < y, {x, y}, Integers];
Sow[y - x /. s[[1]]]]]][[2, 1]] (* Jean-François Alcover, Mar 09 2020 *)

Crossrefs

Cf. A002476, A088241, A088242, A088243, A088298, A088299, A088977.

Sequence in context: A296560 A284652 A261242 * A282738 A093890 A325609

Adjacent sequences: A088293 A088294 A088295 * A088297 A088298 A088299

Keyword

nonn

Author

Lekraj Beedassy, Nov 03 2003

Extensions

More terms from Ray Chandler, Nov 04 2003

Status

approved