Back to Search
Start Over
On the Sum of Reciprocals of Amicable Numbers.
- Source :
-
Integers . Jun2011, Vol. 11 Issue 3, p315-332. 18p. 2 Charts. - Publication Year :
- 2011
-
Abstract
- Two numbers m and n are considered amicable if the sum of their proper divisors, s( n) and s( m), satisfy s( n) == m and s( m) == n. In 1981, Pomerance showed that the sum of the reciprocals of all such numbers, P, is a constant. We obtain both a lower and an upper bound on the value of P. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18670652
- Volume :
- 11
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Integers
- Publication Type :
- Academic Journal
- Accession number :
- 61008286
- Full Text :
- https://doi.org/10.1515/INTEG.2011.025