On non-congruent numbers with 3 modulo 8 prime factors

TL;DR

This paper constructs specific non-congruent numbers that have prime factors congruent to 3 modulo 8, expanding understanding of their properties in number theory.

Contribution

It provides explicit examples of non-congruent numbers with prime factors all congruent to 3 modulo 8, a novel class in number theory.

Findings

Identification of non-congruent numbers with 3 mod 8 prime factors

Explicit series of such numbers constructed

Enhances understanding of prime factorization in non-congruent numbers

Abstract

In this paper, we will give a series of non-congruent numbers with $\equiv3\pmod8$ prime factors.