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Collatz Conjecture Solution

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  • Gaurangkumar Girishbhai Patel

Abstract

The Collatz conjecture, also known as the 3n + 1 conjecture, stands as one of the most enduring unsolved problems in mathematics. Proposed by German mathematician Lothar Collatz in 1937, the conjecture poses a deceptively simple question: can iteratively applying two basic arithmetic operations—dividing even numbers by 2 and multiplying odd numbers by 3 and adding 1—lead any positive integer to converge to the value 1? Despite extensive computational verification for vast ranges of integers, a proof or disproof remains elusive. This abstract explores the historical background, various attempts at proving the conjecture, and its implications across mathematical domains.

Suggested Citation

  • Gaurangkumar Girishbhai Patel, 2024. "Collatz Conjecture Solution," Journal of Artificial Intelligence General science (JAIGS) ISSN:3006-4023, Open Knowledge, vol. 1(1), pages 163-165.
    • Handle: RePEc:das:njaigs:v:1:y:2024:i:1:p:163-165:id:92
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