%I #12 Jan 24 2019 03:40:28

%S 7,31,431,5279,732799,851569055172258793218602741480913108991,

%T 290315886781191681464330388772329064268797313023

%N Norm of Mersenne prime M_{p,alpha}, where p runs through the rational primes and alpha = 2 + sqrt(2).

%C Palimar and Shankar state that the next rational Mersenne prime in this sequence occurs when p = 73, for which the norm of M_{p,alpha} is 851569055172258793218602741480913108991.

%H Amiram Eldar, <a href="/A232993/b232993.txt">Table of n, a(n) for n = 1..8</a>

%H Sushma Palimar and B. R. Shankar, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL15/Palimar/palimar5.html">Mersenne Primes in Real Quadratic Fields</a>, Journal of Integer Sequences, Vol. 15 (2012), #12.5.6.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Dec 14 2013