Please use this identifier to cite or link to this item:
https://idr.l4.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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