On Thu, 8 Jul 1999, Warut Roonguthai wrote:
> Is there a known prime factor of (2^6972593+1)/3? Is there any web page
> that maintains the list of factors of (2^p+1)/3, where p is a Mersenne
> prime exponent? Numbers of this form are related to the new Mersenne
> conjecture of Bateman, Selfridge, and Wagstaff.
I created a table that corrected and updated the table from [1].
It is available from http://orca.st.usm.edu/~cwcurry/NMC.html
(2^p+1)/3 is of unknown character for p = 1048573, 1398269, and
6972593. If anyone has factors of these or other probable primes
of (2^p+1)/3 for p>14480, I would appreciate it if you let me know.
[1] P. T. Bateman, J. L. Selfridge and S. S. Wagstaff Jr., "The
New Mersenne Conjecture," Amer. Math. Monthly, 96 (1989) 125-128.
Also see Chris Caldwell's web page
http://www.utm.edu/research/primes/mersenne.shtml
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