A087318 Smallest number of the form n^k +1 with the prime signature of n, or 0 if no such number exists.

0, 2, 2, 0, 2, 217, 2, 0, 0, 10001, 2, 0, 2, 15, 226, 0, 2, 325, 2, 0, 22, 485, 2, 0, 0, 456977, 0, 0, 2, 27001, 2, 0, 34, 35, 1226, 0, 2, 39, 1522, 0, 2, 130691233, 2, 45, 0, 2117, 2, 0, 0, 0, 2602, 0, 2, 0, 0, 0, 58, 3365, 2, 0, 2, 3845, 0, 0, 4226, 287497, 2, 0, 4762, 24010001

Offset

2,2

Comments

If n is an i-th power for i > 1, than a(n) = 0. The other zeros are conjectures. I have checked 12, 20 and 24 for k up to 400; 28, 40, 45, 48, 50, 52, 54, 55, 56, 63 and 68 for k up to 200 and 60 for k up to 100. - David Wasserman, May 09 2005

Links

Table of n, a(n) for n=2..71.

Crossrefs

Cf. A087319.

Sequence in context: A028305 A347086 A137349 * A087319 A101348 A141659

Adjacent sequences: A087315 A087316 A087317 * A087319 A087320 A087321

Keyword

nonn

Author

Amarnath Murthy, Sep 03 2003

Extensions

More terms from David Wasserman, May 09 2005

Status

approved