English Title

Observations on a theory of Fermat and others on looking at prime numbers

Authors

Leonhard Euler

Enestrom Number

26

Fuss Index

23

Original Language

Latin

English Summaries

Euler shows that the fifth Fermat number, 225 +1 = 4,294,967,297, is not prime because it is divisible by 641, though he does not give any clues about how he discovered this fact. He also tacks on a few "theorems" but says that he does not yet know how to prove them.

Published as

Journal article

Published Date

1738

Written Date

1732

Content Summary

Euler shows that the fifth Fermat number, 225+1 = 4,294,967,297, is not prime because it is divisible by 641, though he does not give any clues about how he discovered this fact. He also tacks on a few "theorems" but says that he does not yet know how to prove them.

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 6, pp. 103-107.

Opera Omnia Citation

Series 1, Volume 2, pp.1-5.

Record Created

2018-09-25

Included in

Mathematics Commons

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