E323 -- De usu novi algorithmi in problemate Pelliano solvendo
(Concerning the use of a new algorithm to solve the Pell problem)
This is where Euler calls it Pellís Equation and uses continued fractions to solve it.
to the records it was presented to the Petersburg Academy on October 15, 1759, and once again
on May 23, 1763.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 11, 1767, pp. 29-66
Opera Omnia: Series 1, Volume 3, pp. 73 - 111
- Reprinted in Commentat. arithm. 1, 1849, pp. 316-336 [E323a]
- Original publication: E323
- German translation (Alexander Aycock and Arseny Skryagin): E323
- E323 is discussed in Ed Sandifer's How Euler Did It April
2005 column published online by the MAA.
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