A176684 Numbers k such that k^3 +-5 are primes.

2, 12, 48, 66, 78, 126, 192, 324, 576, 738, 858, 1806, 2466, 2496, 2688, 3186, 3276, 3978, 4092, 4248, 4404, 4884, 5034, 5274, 5352, 5898, 6018, 6198, 6396, 6408, 6516, 6708, 6852, 7368, 7914, 8304, 8628, 8658, 8904, 9048, 9168, 9528, 10812, 10932

Offset

1,1

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Example

12 is in the sequence, because 12^3 - 5 = 1723 and 12^3 + 5 = 1733 are primes.

Mathematica

Select[Range[8! ], PrimeQ[ #^3-5]&&PrimeQ[ #^3+5]&]

Crossrefs

Cf. A090121, A097698, A108701, A143904, A176681, A176682, A176683

Sequence in context: A319763 A320684 A069946 * A216152 A048501 A001815

Adjacent sequences: A176681 A176682 A176683 * A176685 A176686 A176687

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Apr 23 2010

Status

approved