> M(31) is also the first Mersenne prime not to be tested 
> as an exponent in a Mersenne prime as it is 10 digits 
> or over 2 billion, well beyond the current 16mil or 
> even 33mil exponents being tested.

Take a look at Tony Forbes page
http://www.ltkz.demon.co.uk/ar2/mm61.htm

MM31 has 3 known factors so there is no need to test it's primality

MM61 is the first one without a known factor

Sander
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