Article
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The Existence and Construction of Palindrome Numbers Divisible by 37
Version 1
: Received: 27 May 2024 / Approved: 28 May 2024 / Online: 29 May 2024 (07:03:49 CEST)
How to cite: Jiang, F. The Existence and Construction of Palindrome Numbers Divisible by 37. Preprints 2024, 2024051885. https://doi.org/10.20944/preprints202405.1885.v1 Jiang, F. The Existence and Construction of Palindrome Numbers Divisible by 37. Preprints 2024, 2024051885. https://doi.org/10.20944/preprints202405.1885.v1
Abstract
The existence of palindrome numbers of arbitrary length greater than 2 that are divisible by the prime number 37 is proven in this paper. The method to construct such a palindrome is also described. It turns out that a palindrome number divisible by 37 is also divisible by 3 and, consequently, divisible by 111.
Keywords
palindrome numbers; 37; properties of 37
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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