The Existence and Construction of Palindrome Numbers Divisible by 37
Fan Jiang · Preprints.org · 2024
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.