A Fermat-Quotient Coordinate for Mersenne Primes
MEGHEZZI, Axel Abdel Rahamane;
A Fermat-Quotient Coordinate for Mersenne Primes
This note records a simple structural observation connecting Mersenne primes and the Fermat quotient in base 2. If M_e = 2^e - 1 is prime, then its canonical Mersenne divisor form M_e = 2ek + 1 has coefficient k equal to the Fermat quotient Q_e(2) = (2^{e-1}-1)/e. The note presents the identity, examples, and a personal mathematical reflection.Enjoy !
Fermat quotient, exponential arithmetic, number theory, prime numbers, Mersenne primes
Fermat quotient, exponential arithmetic, number theory, prime numbers, Mersenne primes
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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