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Is the ABC Conjecture True

Abdelmajid Ben Hadj Salem

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Abstract

In this paper, we consider the abc conjecture. In the first part, we give the proof of the conjecture c < rad ^{1.63}(abc) that constitutes the key to resolve the abc conjecture. The proof of the abc conjecture is given in the second part of the paper, supposing that the abc conjecture is false, we arrive in a contradiction.

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What this paper is about

In this paper, we consider the abc conjecture. In the first part, we give the proof of the conjecture c < rad ^{1.63}(abc) that constitutes the key to resolve the abc conjecture. The proof of the abc conjecture is given in the second part of the paper, supposing that the abc conjecture is false, we arrive in a contradiction.

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Available abstract

In this paper, we consider the abc conjecture. In the first part, we give the proof of the conjecture c < rad ^{1.63}(abc) that constitutes the key to resolve the abc conjecture. The proof of the abc conjecture is given in the second part of the paper, supposing that the abc conjecture is false, we arrive in a contradiction.

Key concepts: Conjecture, abc conjecture, Contradiction, Mathematics, Collatz conjecture, Combinatorics, Philosophy, Epistemology

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