On the prime factors of non-congruent numbers
Volume 138 / 2015
Colloquium Mathematicum 138 (2015), 271-282
MSC: Primary 11G05.
DOI: 10.4064/cm138-2-11
Abstract
We give infinitely many new families of non-congruent numbers where the first prime factor of each number is of the form $8k+1$ and the rest of the prime factors have the form $8k+3.$ Products of elements in each family are shown to be non-congruent.
