A219908 Primes of the form 4*x^2+2*x*y+7*y^2, for x >= 0, y >= 0.

7, 13, 73, 79, 151, 163, 193, 211, 241, 349, 367, 379, 421, 463, 523, 571, 607, 613, 619, 709, 757, 769, 883, 907, 937, 967, 1063, 1087, 1123, 1201, 1213, 1249, 1279, 1297, 1321, 1453, 1483, 1489, 1609, 1621, 1741, 1759, 1783, 1879, 1987, 2029, 2053, 2131, 2161, 2293, 2371, 2377, 2389, 2473, 2521, 2539, 2551

Offset

1,1

Comments

These primes do not have 2 as a cubic residue. - Arkadiusz Wesolowski, May 30 2015

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

W. C. Jagy, Problem 11539, Amer. Math. Monthly, 119 (2012), 884-885.

Prog

(Haskell)
a219908 n = a219907_list !! (n-1)
a219908_list = filter ((== 1) . a010051') a219907_list
-- Reinhard Zumkeller, Dec 15 2012

Crossrefs

Cf. A219907, A220432.

Cf. A010051.

Sequence in context: A325029 A159198 A106976 * A098478 A174878 A177198

Adjacent sequences: A219905 A219906 A219907 * A219909 A219910 A219911

Keyword

nonn

Author

N. J. A. Sloane, Dec 14 2012

Status

approved