%0 Generic %1 citeulike:3036309 %A Euler, Leonhard %D 2004 %K Vor1750 available-in-tex-format mathematics number-theory pre1750 %T On amicable numbers %U http://arxiv.org/abs/math/0409196 %X This is a translation from Latin to English of Euler's ``De numeris amicabilibus'' (``On amicable numbers''), E100 in the Enestrom index. Euler discusses the earlier work that had been done by European mathematicians on amicable numbers, and gives a general rule for finding pairs of amicable pairs. He provides a table of 30 amicable pairs, some of which are made with his rule but some of which were not. Prior to this paper, it is believed that for European mathematicians the only known amicable pairs were 220 and 284 from Pythagoras, 17,296 and 18,416 by Fermat, and 9,363,584 and 9,437,056 by Descartes.

@misc{citeulike:3036309, abstract = {This is a translation from Latin to English of Euler's ``De numeris amicabilibus'' (``On amicable numbers''), E100 in the Enestrom index. Euler discusses the earlier work that had been done by European mathematicians on amicable numbers, and gives a general rule for finding pairs of amicable pairs. He provides a table of 30 amicable pairs, some of which are made with his rule but some of which were not. Prior to this paper, it is believed that for European mathematicians the only known amicable pairs were 220 and 284 from Pythagoras, 17,296 and 18,416 by Fermat, and 9,363,584 and 9,437,056 by Descartes.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/2579ddee21f3314be7b368171cb00965c/rwst}, citeulike-article-id = {3036309}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0409196}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0409196}, description = {my bookmarks from citeulike}, eprint = {math/0409196}, interhash = {fa95411d6d8676a21fce503224a5beed}, intrahash = {579ddee21f3314be7b368171cb00965c}, keywords = {Vor1750 available-in-tex-format mathematics number-theory pre1750}, month = Dec, posted-at = {2008-07-23 08:59:54}, priority = {2}, timestamp = {2009-08-06T10:32:09.000+0200}, title = {On amicable numbers}, url = {http://arxiv.org/abs/math/0409196}, year = 2004 }