Families of even noncongruent numbers with arbitrarily many pairs of prime factors

Shamik Das; Anupam Saikia

doi:10.1216/rmj.2022.52.471

Abstract

We construct infinitely many new families of integers, each containing infinitely many even noncongruent numbers. These noncongruent numbers are obtained as products of an arbitrary number of primes in certain patterns.

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Shamik Das. Anupam Saikia. "Families of even noncongruent numbers with arbitrarily many pairs of prime factors." Rocky Mountain J. Math. 52 (2) 471 - 481, April 2022. https://doi.org/10.1216/rmj.2022.52.471

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Received: 30 April 2021; Revised: 12 July 2021; Accepted: 12 July 2021; Published: April 2022

First available in Project Euclid: 17 May 2022

MathSciNet: MR4422950

zbMATH: 07555148

Digital Object Identifier: 10.1216/rmj.2022.52.471

Subjects:

Primary: 11G05

Secondary: 11A15

Keywords: congruent number , Elliptic curve

Abstract

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