I'm looking for program(s) capable of trial-factoring 
prime exponent Mersenne numbers (using 2kp+1) meeting
the following requirements:

1) Capable of trial-factoring any exponent > 1 
   (at least to some considerably large number,
    say 1 trillion?)

As I recall, Brian [Beesley] mentioned something once
about having a program that could test an exponent
of an arbitrary size...  Brian??
   
2) Capable of testing a factor of any size.
   (even over the 2^76 limit of Prime95).

I just know somebody is going to have to mention the
time involved in testing factors of such a large size.
Let me just say, I realize *exactly* how much time
would be required...

3) Capable of trial-factoring a range of k's.
   (example: from k=1000 to k=2500)

It would be best if all three of the requirements
could be fulfilled by a single program...

Can anybody be of some help???

Eric Hahn


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