Quote:
Originally Posted by kurtulmehtap
Not Really, I am still not sure if a composite Mersenne number can have more than 1 pair for x^2 + 27y^2.
There is a thesis on this subject:
Mersenne primes of the form x^2+dy^2 by Bas Jansen at
www.math.leidenuniv.nl/en/theses/31/
It has an entire section for the needed case d=27, but I still can't find the answer..
Please help.
I know that I am embarassing myself but I need the answer.

If the number is composite, there will be more than 1.