

A087318


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


1



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
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OFFSET

2,2


COMMENTS

If n is an ith 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



