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Even numbers n such that 2^n-1 can be written in the form a^2+7*b^2.
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%I #5 Sep 11 2012 15:37:37

%S 6,42,294,2058

%N Even numbers n such that 2^n-1 can be written in the form a^2+7*b^2.

%C These Mersenne numbers of the form 2^n-1 have no prime factors congruent to 3 (mod 7) or 5 (mod 7) or 6 (mod 7) to an odd power. Also the power of 2 is not 1.

%H Samuel S. Wagstaff, Jr. <a href="http://homes.cerias.purdue.edu/~ssw/cun/index.html">The Cunningham Project</a>

%K nonn

%O 1,1

%A _V. Raman_, Sep 08 2012