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BSMaSS > BSMaSS Volume 3 > Primes of the form x2 + ny2
Primes of the form x<sup>2 </sup>+ ny<sup>2</sup>
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Primes of the form x2 + ny2

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Abstract:

We know that, Fermat Showed a prime can be expressed as a sum of two squares if and only if it is a multiple of four plus one and its decomposition is unique. This paper will discuss the similar writings of primes as a sum of squares and multiple of another square.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 3)
Pages:
67-72
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.3.67
Citation:
K. R. R. Gandhi, "Primes of the form x2 + ny2", The Bulletin of Society for Mathematical Services and Standards, Vol. 3, pp. 67-72, 2012
Online since:
September 2012
Authors:
K. Raja Rama Gandhi
Keywords:
Fermat Sum of Two Squares, Lattice Points, Mersenne Prime, Quadratic Reciprocity, Ring of Gaussian Integers
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Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

http: /arxiv. org/pdf/1207. 0172v1. pdf.

http: /en. wikipedia. org/wiki/Fermat%27s_theorem_on_sums_of_two_squares.

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Sergiu Rudeanu, Lattice Functions and Equations, Springer Verlag, (2001).

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M.R. Adhikari, A. Adhikari, Groups, Rings And Modules With Applications, University Press (India) Limited, (2003).

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