Journal of Scientific Research and Reports

Primes and Squares Challenge

José William Porras Ferreira *

Escuela Naval “Almirante Padilla”, Isla Manzanillo, Cartagena de Indias, Colombia.

*Author to whom correspondence should be addressed.

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Abstract

This paper answer the question or conjecture: Can all prime numbers be written as the sum of two square numbers, ie q = r² + p² , where q,p and r  are primes? Also it is found a rule which helps to predict which prime numbers can be written as the sum of two square numbers and which cannot and showing that there are infinite  primes that fulfil the above condition.

Keywords: Primes, prime squares.

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