185 is special
Jack Brennen
jb at brennen.net
Fri Jun 1 04:00:28 CEST 2007
Tanya Khovanova wrote:
> Hello seqfans,
>
> 185 is the smallest positive number that doesn't start any sequence. Do you know anything special about 185 that might start a sequence?
>
Fermat pseudoprimes in both base 6 and base 31:
185, 481, 1105, 1729, 2465, 6601, 8911, 10585, 11041, 18721, ...
Now to make it a "legitimate" sequence, just figure out whether there is any particular
reason to pick the numbers 6 and 31. Obviously 6 * 31 == 185 + 1, so this may be a case
of the "arbitrary" numbers (6 and 31) not being so arbitrary at all...
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