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Families of Even Non-congruent Numbers with Odd Prime Factors of the Form 8k+5
- Author(s)
- Kim, Ringi, Lee, Junguk, Lee, Wan, Yu, Myungjun
- Issued Date
- 2024-12
- Citation
- TOKYO JOURNAL OF MATHEMATICS, v.47, no.2, pp.451 - 475
- Abstract
- A positive integer is called a congruent number if it is equal to the area of a right triangle having all side lengths rational. In this paper, we find new families of non-congruent numbers whose odd prime factors are all congruent to 5 modulo 8. To obtain our results, we make use of the Monsky matrix with the aid of graph theory.
- Publisher
- TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER
- ISSN
- 0387-3870
- Keyword (Author)
- Elliptic curves, Monsky matrices, Congruent numbers, Non-congruent numbers
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