On the prime factors of non-congruent numbers
Lindsey Reinholz ; Blair K. Spearman ; Qiduan Yang
Colloquium Mathematicae, Tome 139 (2015), p. 271-282 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:284169 
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Lindsey Reinholz; Blair K. Spearman; Qiduan Yang. On the prime factors of non-congruent numbers. Colloquium Mathematicae, Tome 139 (2015) pp. 271-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm138-2-11/