A Conjecture on Primes and a Step towards Justification
Vladimir Shevelev

TL;DR
This paper introduces a new conjecture related to prime numbers based on their binary expansions and discusses initial steps towards providing justification for it.
Contribution
It proposes a novel conjecture about primes in binary form and advances initial theoretical understanding towards its validation.
Findings
Formulated a new conjecture on primes and binary expansions
Made initial progress towards justifying the conjecture
Opened new avenues for research in prime number theory
Abstract
We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications · Computability, Logic, AI Algorithms
