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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
357.0. "n divides a^n-b" by TOOLS::STAN () Thu Oct 17 1985 14:48
(Gerald Myerson)
Do there exist integers a,b other than a=2, b=1 such that if n divides
a^n-b, then n=1? Ignore trivial cases.
A necessary condition on a,b is |a-b|=1. This is not sufficient
since 2929|(3^2929-2). The Lehmers have found the smallest n
that divides 2^n-3, namely n=4700063497.
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