Et al,
The below chart gives the general lower bounds for which the
limit of powers of two begins. As an example, 2^55 for the most part,
is the least exponent as a limit for all Mersenne numbers greater than
1,040,000. There are exceptions and this is the object of this post.
I would like to see that there are no exceptions except for the
obviously untested Mersenne numbers. Once this is accomplished, then I
would like to see the Mersenne numbers at which a particular exponent
occurs also reduced.
Exponent, Mersenne Nbrs.
52 1,400
53 400,000
54 730,000
55 1,040,000
56 1,335,240
57 1,602,275
58 2,222,000
59 2,655,000
60 3,602,100
61 4,715,000
62 5,260,000
Sincerely yours,
Robert G. Wilson v,
PhD ATP / CF&GI
