E272 -- Supplementum quorundam theorematum arithmeticorum, quae in nonnullis demonstrationibus supponuntur
(A reinforcement of some arithmetic theorems, supported by several demonstrations)
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.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 8, 1763, pp. 105-128
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.
- Original publication: E272
- Other works that cite this paper include:
- Andre Weil, Number Theory
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