Families of non-congruent numbers with arbitrarily many prime factors
| Autor: | Qiduan Yang, Blair K. Spearman, Lindsey Reinholz |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Congruent numbers
Discrete mathematics Algebra and Number Theory Almost prime Mathematics::Number Theory 010102 general mathematics 0102 computer and information sciences Rank 01 natural sciences Probable prime Prime k-tuple Combinatorics Primefree sequence 010201 computation theory & mathematics Elliptic curve Prime factor Mathematics::Metric Geometry 0101 mathematics Non-congruent numbers Prime power Mathematics Primorial Pronic number |
| Zdroj: | Journal of Number Theory. 133:318-327 |
| ISSN: | 0022-314X |
| DOI: | 10.1016/j.jnt.2012.07.011 |
| Popis: | A method is given for generating families of non-congruent numbers with arbitrarily many prime factors. We then use this method to construct an infinite set of new families of these numbers with prime factors of the form 8 k + 3 . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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