The Solution of a Problem of Searching for Three Numbers, of Which the Sum, Product, and the Sum of Their Products Taken Two at a Time, Are Square Numbers

Authors

Mark R. Snavely, Carthage CollegeFollow
Philip Woodruff, Lake Forest High SchoolFollow

Abstract

This paper first appeared in Novi Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 64-73 and is reprinted in Opera Omnia: Series 1, Volume 2, pp.519-530. Its Eneström number is E270. Euler improves his results significantly in "On Three Square Numbers, of Which the Sum and the Sum of Products Two Apiece will be a Square" (E523).

Last Page

39

Recommended Citation

Snavely, Mark R. and Woodruff, Philip (2022) "The Solution of a Problem of Searching for Three Numbers, of Which the Sum, Product, and the Sum of Their Products Taken Two at a Time, Are Square Numbers," Euleriana: 2(1), pp.27-39.
DOI: https://doi.org/10.56031/2693-9908.1020
Available at: https://scholarlycommons.pacific.edu/euleriana/vol2/iss1/5