A178336 Smaller member of a twin prime pair of the form (k^3 + 2, k^3 + 4).

3, 29, 91127, 250049, 328511, 2146691, 47832149, 121287377, 170953877, 194104541, 693154127, 979146659, 1167575879, 1664006627, 5079577961, 6219352721, 8678316377, 10289109377, 10633486601, 13980103931, 17474794877, 28066748321, 28736971049

Offset

1,1

References

Edmund Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Band I, B. G. Teubner, Leipzig u. Berlin, 1909

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Harvey P. Dale)

Formula

a(n) = A178337(n)^3 + 2.

Example

3 = 1^3+2 = prime(2) and 5 = 1^3+4 = prime(3) are a twin prime pair, so 3 becomes the first term.
91127 = 45^3+2 = prime(8811) and 91129 = 45^3+4 = prime(8812) are a twin prime pair, so 91127 is a term.

Mathematica

Select[Range[3100]^3+2, PrimeQ[#]&&PrimeQ[#+2]&] (* Harvey P. Dale, May 26 2012 *)

Crossrefs

Cf. A013159, A053703, A132282, A144953, A173255, A178228.

Sequence in context: A156026 A171883 A112981 * A176495 A318971 A082792

Adjacent sequences: A178333 A178334 A178335 * A178337 A178338 A178339

Keyword

nonn

Author

Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 25 2010

Extensions

Keyword:base removed, 2 missing terms inserted by R. J. Mathar, Jun 27 2010

Status

approved