Speculations on some characteristic properties of numbers

Details Speculations on some characteristic properties of numbers Speculations on some characteristic properties of numbers

2007-05-27

arxiv.org/abs/0705.3929v1

Mathematics

History and Overview

9 pages

Scientific paper

Translation of the Latin original "Speculationes circa quasdam insignes
proprietates numerorum" (1784). E564 in the Enestrom index. In this paper Euler
talks about Farey sequences and proves some results about the phi function, the
number of positive integers less than and relatively prime to an integer. Euler
uses the notation pi instead of phi.

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