A232993 Norm of Mersenne prime M_{p,alpha}, where p runs through the rational primes and alpha = 2 + sqrt(2).

7, 31, 431, 5279, 732799, 851569055172258793218602741480913108991, 290315886781191681464330388772329064268797313023

Offset

1,1

Comments

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.

Links

Amiram Eldar, Table of n, a(n) for n = 1..8

Sushma Palimar and B. R. Shankar, Mersenne Primes in Real Quadratic Fields, Journal of Integer Sequences, Vol. 15 (2012), #12.5.6.

Crossrefs

Sequence in context: A153028 A276667 A322894 * A135630 A139287 A139307

Adjacent sequences: A232990 A232991 A232992 * A232994 A232995 A232996

Keyword

nonn

Author

N. J. A. Sloane, Dec 14 2013

Status

approved