The Dirichlet’s theorem (1837), initially guessed by Gauss, is a result of analytic number theory. Dirichlet, demonstrated that: For any two positive coprime integers and , there are infinite primes of the form a+bn, where n is a non-negative integer ( n = 1, 2,… ). In other word...
Open access
Research Article10.9734/JSRR/2016/24470
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 wh...
Open access
Research Article10.9734/JSRR/2016/24252
It has always been thought that primes numbers within natural numbers do not fulfill well-defined rules that can express themselves through a sequential structure to facilitate checking their properties. The study of congruence 1 mod 24, allows us to find some of the properties o...
Open access
Research Article10.9734/BJAST/2016/24367