E243 -- Observatio de summis divisorum
(An observation on the sums of divisors)
(based on Jordan Bell's abstract)
This is partly a re-run of E152 and
E175. Euler gives a recurrence relation that gives the sum of the divisors of a
positive integer constructed via the pentagonal numbers.
to the records, it was presented to the St. Petersburg Academy on April 6, 1752.
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 5, 1760, pp. 59-74
Opera Omnia: Series 1, Volume 2, pp. 373 - 389
- According to Jacobi, the manuscript of the printed treatise can be found in the archive of the Berlin Academy.
- Reprinted in Commentat. arithm. 1, 1849, pp. 146-154 [E243a]
- A handwritten French translation of this treatise can be found in the library of the observatory in Uccle, near Brussels.
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