On special Wieferich's primes
Luis H. Gallardo
TL;DR
This paper proves that certain primes called Wieferich's primes of the form q=2p+1 do not exist when p is a prime congruent to 3 modulo 4.
Contribution
It establishes a non-existence result for a specific class of Wieferich's primes, advancing understanding of their distribution.
Findings
No Wieferich's primes q=2p+1 with p ≡ 3 mod 4 exist.
Provides a proof ruling out this class of primes.
Contributes to the theory of Wieferich's primes and their properties.
Abstract
We prove that there are no Wieferich's primes where is a prime number
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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic Number Theory Research · Mathematics and Applications