4 citations · 4 across the 4 of their papers we have counts for
4 papers
On the Eight Levels theorem and applications towards Lucas-Lehmer primality test for Mersenne primes, I
Moustafa Ibrahim
Lucas-Lehmer test is the current standard algorithm used for testing the primality of Mersenne numbers, but it may have limitations in terms of its efficiency and accuracy. Develop…
On The Emergence of a New Prime Number And Omega Sequences
Moustafa Ibrahim
This paper highlights the emergence of the Omega sequence in number theory and its connection with the emergence of a new prime number, and also highlights its theoretical applicat…
A new explicit expansion approach to Mersenne primes
Moustafa Ibrahim
This paper first proves what the author called the Eight Levels Theorem and then highlights a new explicit expansion approach to Lucas-Lehmer primality test for Mersenne primes and…
New expansions for in terms of quadratic forms
Moustafa Ibrahim
We prove new theorems for the polynomial expansions of in terms of the binary quadratic forms and . The paper gives new ari…