Goldbach–Euler theorem
id:
goldbach-euler-theorem-224-1449102
title:
Goldbach–Euler theorem
text:
In mathematics, the Goldbach–Euler theorem (also known as Goldbach's theorem), states that the sum of 1/(p − 1) over the set of perfect powers p, excluding 1 and omitting repetitions, converges to 1:
- ∑ p ∞ 1 p − 1 = 1 3 + 1 7 + 1 8 + 1 15 + 1 24 + 1 26 + 1 31 + ⋯ = 1. This result was first published in Euler's 1737 paper "Variæ observationes circa series infinitas". Euler attributed the result to a letter (now lost) from Goldbach.
brand slug:
wiki
category slug:
encyclopedia
description:
Convergent series relating reciprocals of perfect powers
original url:
https://en.wikipedia.org/wiki/Goldbach%E2%80%93Euler_theorem
date created:
2007-11-30T15:02:31Z
date modified:
2024-09-14T13:48:31Z
main entity:
{"identifier":"Q2917311","url":"https://www.wikidata.org/entity/Q2917311"}
image:
fields total:
13
integrity:
15