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math.GM2021
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…
math.GM2021
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…