> I was wondering...Primenet offers a reward for the next Mersenne prime
> found, but are there any other interesting things we could 
> offer rewards
> for?
> 
> Perhaps for the smallest factor of some Mersenne number or something?

How about the *largest* factor found by the Elliptic Curve method?

Trial division peters out somewhere below 70 bits, which is still only
20-something digits.  Conrad Curry has found a 53-digit factor of M677, so
offer an award for the first person to find a larger factor.  Conrad's
record is by far the largest factor reported to have been found by ECM.


Paul

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