A168487 Primes of the form 100n^3 + 27.

127, 827, 6427, 12527, 34327, 219727, 491327, 1562527, 2438927, 3276827, 8518427, 16637527, 22698127, 43897627, 45653327, 51200027, 77868827, 119101627, 129502927, 140492827, 156089627, 177156127, 190662427, 251545627, 257135327

Offset: 1

Author

Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Nov 27 2009

Keywords

• nonn

Comments

(1) These primes all with the end digits 2 and 7 are concatenations of two CUBIC numbers: "n^3 3^3".

(2) It is conjectured that sequence is infinite.

References

• Harold Davenport, Multiplicative Number Theory, Springer-Verlag New-York 1980
• Leonard E. Dickson: History of the Theory of numbers, vol. I, Dover Publications 2005
• Friedhelm Padberg, Elementare Zahlentheorie, Spektrum Akademischer Verlag, 2. Auflage 1991

Crossrefs

A167535 Concatenation of two square numbers which give a prime

A168147 Primes of the form p = 1 + 10*n^3 for a natural number n

A168327 Primes of concatenated form p = "1 n^3"

Programs

Mathematica

Select[100Range[140]^3+27,PrimeQ] (* Harvey P. Dale, Aug 22 2011 *)

Extensions

Edited by Charles R Greathouse IV, Apr 24 2010