English Title

A solution of a problem about two numbers which are searched for, of which their product, increased or decreased by their sum or difference, will be a square

Authors

Leonhard Euler

Enestrom Number

405

Fuss Index

65

Original Language

Latin

Published as

Journal article

Published Date

1771

Written Date

1770

Content Summary

Euler wants to find numbers a and b so that the following four quantities are all squares: ab+a+b, ab+ab, aba+b, and abab.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 15, pp. 29-50.

Opera Omnia Citation

Series 1, Volume 3, pp.148-171.

Record Created

2018-09-25

Included in

Mathematics Commons

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