E272 -- Supplementum quorundam theorematum arithmeticorum, quae in nonnullis demonstrationibus supponuntur
(A reinforcement of some arithmetic theorems, supported by several demonstrations)
Summary:
Euler looks at primes of the form pp+3qq, all of which seem to be of the form 6n+1 (except 3). He suggests (p. 574) that this has a use in Fermat's Little Theorem.
According to the records, it was presented to the St. Petersburg Academy on October 15, 1759.
Publication:
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Originally published in Novi Commentarii academiae scientiarum Petropolitanae 8, 1763, pp. 105-128
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Opera Omnia: Series 1, Volume 2, pp. 556 - 575
- Reprinted in Commentat. arithm. 1, 1849, pp. 287-296 [E272a]
- A handwritten French translation of this treatise can be found in the library of the observatory in
Uccle, near Brussels.
Documents Available:
- Original publication: E272
- Other works that cite this paper include:
- Andre Weil, Number Theory
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