A174003 Primes q with q^3 = 2+3*p for a prime p.

2, 5, 11, 17, 41, 47, 89, 101, 107, 239, 311, 347, 431, 479, 521, 641, 701, 719, 761, 839, 881, 941, 947, 1031, 1049, 1301, 1319, 1361, 1499, 1559, 1571, 1667, 1721, 1871, 1931, 2459, 2621, 2687, 2777, 2837, 2861, 2879, 2939, 3347, 3389, 3467, 3539, 3617, 3671, 3917

Offset

1,1

Comments

q^3 = prime(1) + prime(2) * p.

A subsequence of A003627.

References

Wolfgang M. Schmidt, Diophantine approximations and Diophantine equations. Lecture Notes in Mathematics, Springer-Verlag, 2000

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

2^3 = 2 + 3 * 2, 2 = prime(1) gives q(1) = 2 = prime(1).
5^3 = 2 + 3 * 41, 41 = prime(13) gives q(2) = 5 = prime(3).
11^3 = 2 + 3 * 443, 443 = prime(86) gives q(3) = 11 = prime(5).

Mathematica

Select[Prime[Range[600]], PrimeQ[(#^3-2)/3]&] (* Harvey P. Dale, Jul 22 2015 *)

Crossrefs

Cf. A000578, A030078, A172271.

Sequence in context: A126204 A091936 A153145 * A144572 A038977 A141778

Adjacent sequences: A174000 A174001 A174002 * A174004 A174005 A174006

Keyword

nonn

Author

Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Mar 05 2010

Extensions

Typo in a(11) corrected, keyword:base removed - R. J. Mathar, Mar 18 2010

Status

approved