Please use this identifier to cite or link to this item: https://idr.l1.nitk.ac.in/jspui/handle/123456789/12464
Title: Mersenne primes in real quadratic fields
Authors: Palimar, S.
Shankar, B.R.
Issue Date: 2012
Citation: Journal of Integer Sequences, 2012, Vol.15, 5, pp.-
Abstract: The concept of Mersenne primes is studied in real quadratic fields with class number one. Computational results are given. The field ?(?2) is studied in detail with a focus on representing Mersenne primes in the form x2 + 7y2. It is also proved that x is divisible by 8 and y ? 3 (mod 8), generalizing a result of F. Lemmermeyer, first proved by H. W. Lenstra and P. Stevenhagen using Artin's reciprocity law.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/12464
Appears in Collections:1. Journal Articles

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