>From: Wilfrid Keller <[EMAIL PROTECTED]>
>I had found in 1976 might suggest, I have shown interest in this
>particular kind of Mersenne numbers since many, many years. Re-
>garding the factor of M(M(31)) just rediscovered by Lucas Wiman,
>I regret to inform you that it was already "published" in 1983.
>Unfortunately, Guy Haworth's notes (please see the references be-
>low) were released only "privately", but were in fact widely cir-
>culated. The second prime factor of M(M(31)), found by Tony
>Forbes, was also known to me for some years (again, see below).
I must admit that at the time I found it, I suspected this second factor
of M(M(31)) might not be new; it seemed too easy.
>Search limits h < L(p) for factors of
>"iterated" Mersenne numbers M(M(p)) as of November 1996
>
> p L(p)
>
> 127 6.8 x 10^8
I was working on M(M(127)) about 2 years ago. I completed ranges of h
(for possible divisors 2*h*M(127)+1)
0 - 129729600000
360360000000 - 390390000000
390390000000 - 420420000000
450450000000 - 480480000000
and was part way through ranges
129729600000 - 240240000000
240240000000 - 360360000000
420420000000 - 450450000000
480480000000 - 540540000000
when I found out than Curt Noll had started an attack on M(M(127)) with
superior hardware. I imagine that by now he has carried the search much
further.
--
Tony
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