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DC Field | Value | Language |
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dc.contributor.author | Palimar, S. | - |
dc.contributor.author | Shankar, B.R. | - |
dc.date.accessioned | 2020-03-31T08:39:19Z | - |
dc.date.available | 2020-03-31T08:39:19Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of Integer Sequences, 2012, Vol.15, 5, pp.- | en_US |
dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/12464 | - |
dc.description.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. | en_US |
dc.title | Mersenne primes in real quadratic fields | en_US |
dc.type | Article | en_US |
Appears in Collections: | 1. Journal Articles |
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