= Observations on a certain theorem of Fermat and on others concerning prime numbers by Leonhard Euler
{c}
{tag=Work by Leonhard Euler}
{tag=Work by Jordan Bell}
{title2=1738}
{title2=Eneström E26}
By <Leonhard Euler>; English translation by <Jordan Bell>. Presented to the St Petersburg Academy on 26 September 1732; the original Latin paper, "Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus", appeared in Commentarii academiae scientiarum Petropolitanae 6 (1738), pp. 103–107. The publication note on page one of the translation distinguishes presentation from publication. The linked translation is version three, dated 15 April 2008.
English translation: https://arxiv.org/pdf/math/0501118
Catalogue record: https://arxiv.org/abs/math/0501118
Cited passages: pp. 1–2, Euler's account of Fermat's proposed prime pattern and the factor $641$ of $2^{32}+1$; p. 1 publication and translator note. The short modular check in <Fermat number> is presented as a modern verification, not a historical reconstruction of Euler's search.
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