Number Theory

    

Proof of the ABC Conjecture

Authors: Prajay Sajjan Thul

There are different versions of the abc Conjecture available in books and on internet, each claiming that there are only finitely many triples of coprime positive integers $a$, $b$, and $c$ such that the sum of the first two is the third one, and then the third one satisfies a certain specific condition (relating the sum with the product of distinct primes in the prime factorization of each integer.) This paper deals with all versions, proving the claim and explaining the concept. This paper also deals with some abc triples numerical examples by verifying the claimed and proven results.

Comments: 81 Pages.

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Submission history

[v1] 2025-01-30 22:27:42

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