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Euleriana

2022

Diophantine

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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, Mark R. Snavely, Philip Woodruff Mar 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, Mark R. Snavely, Philip Woodruff

Euleriana

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).