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...






More information about the SeqFan mailing list