English Title

Inquiring on whether or not the number 100009 is prime

Authors

Leonhard Euler

Enestrom Number

699

Fuss Index

31

Original Language

Latin

Published as

Journal article

Published Date

1797

Written Date

1778

Content Summary

Euler shows that 1,000,009 is not prime by showing that it can be written as the sum of two squares in more than one way. This corrected a published list of primes that had included 1,000,009. He also shows that 1,000,081 is prime by showing that it can be written as the sum of two squares in only one way. (Based on Jordan Bell's translation abstract.)

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 10, pp. 63-73.

Opera Omnia Citation

Series 1, Volume 4, pp.245-254.

Record Created

2018-09-25

Included in

Mathematics Commons

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