A087319 Smallest number of the form n^k +1, with tau(a(n)) = tau(n), or 0 if no such number exists.

0, 2, 2, 0, 2, 217, 2, 65, 0, 10001, 2, 0, 2, 15, 226, 0, 2, 325, 2, 0, 22, 485, 2, 110075314177, 0, 27, 0, 0, 2, 27001, 2, 1025, 34, 35, 1226, 0, 2, 39, 1522, 64001, 2, 130691233, 2, 45, 0, 2117, 2, 0, 0, 0, 2602, 0, 2, 1338925209985, 0

Offset

2,2

Comments

If n is a square then a(n) = 0; the other zeros (n = 12, 20, 27, 28, 45, 48, 50, 52 and 55) are conjectures. I have checked them for k up to 255. - David Wasserman, May 09 2005

Links

Table of n, a(n) for n=2..56.

Crossrefs

Cf. A087318.

Sequence in context: A347086 A137349 A087318 * A101348 A141659 A355859

Adjacent sequences: A087316 A087317 A087318 * A087320 A087321 A087322

Keyword

nonn

Author

Amarnath Murthy, Sep 03 2003

Extensions

More terms from David Wasserman, May 09 2005

Status

approved