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A174003 Primes q with q^3 = 2+3*p for a prime p. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 25 05:01 EST 2020. Contains 332217 sequences. (Running on oeis4.)