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Old 2011-01-05, 15:20   #9
R.D. Silverman
 
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Nov 2003

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Quote:
Originally Posted by kurtulmehtap View Post
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.
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