English Title

The solution of a problem about searching for three numbers, of which the sum and not only their product but the sum of their products two apiece, are square numbers

Authors

Leonhard Euler

Enestrom Number

270

Fuss Index

61

Original Language

Latin

Archive Notes

According to Jacobi, a treatise with almost the same title appears to have been read to the Berlin Academy on February 27, 1755. According to St. Petersburg Academy records, it was presented to that Academy on March 8, 1756.

Content Summary

Euler wants all of the numbers n(x+y+z), nn(xy+xz+yz) and n3xyz to be squares, where x, y, and z are rational.

Published as

Journal article

Published Date

1763

Written Date

1755

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 64-73.

Opera Omnia Citation

Series 1, Volume 2, pp.519-530.

Record Created

2018-09-25

Included in

Mathematics Commons

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