English Title

The proofs of some arithmetic theorems

Authors

Leonhard Euler

Enestrom Number

98

Fuss Index

58

Original Language

Latin

Published as

Journal article

Published Date

1747

Written Date

1738

Archive Notes

According to Eneström, additions to this work were presented to the St. Petersburg Academy on 16 August 1738.

Content Summary

Euler proves that the sum of two 4th powers can't be a 4th power, that the difference of two distinct non-zero 4th powers can't be a 4th power, and other such forms.

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 10, pp. 125-146.

Opera Omnia Citation

Series 1, Volume 2, pp.38-58.

Notes

According to Eneström, additions were presented to the St. Petersburg Academy on 16 August 1738.

Record Created

2018-09-25

Included in

Mathematics Commons

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