On perfect totient numbers
This thesis is an exposition of the paper On Perfect Totient Numbers by Douglas E. Iannuci, Deng Moujie and Graeme L. Cohen which appeared in the Journal of Integer Sequences, Vol. 6 (2003), Article 03.4.5. Let n > 2 be a positive integer and let denote Eulers totient function. Define 1(n) = (n)...
Saved in:
| Main Author: | |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2006
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_masteral/3449 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/10287/viewcontent/CDTG004177_P__1_.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is an exposition of the paper On Perfect Totient Numbers by Douglas E. Iannuci, Deng Moujie and Graeme L. Cohen which appeared in the Journal of Integer Sequences, Vol. 6 (2003), Article 03.4.5. Let n > 2 be a positive integer and let denote Eulers totient function. Define 1(n) = (n) and k(n) = ( k1(n)) for all integers k 2. Define the arithmetic function S by S(n) = (n) + 2(n) + . . . + c(n) + 1, where c(n) = 2. We say n is a perfect totient number if S(n) = n. We give a list of known perfect totient numbers, and we give sufficient conditions for the existence and non-existence of further perfect totient numbers. An original contribution of this study are additional forms of perfect totient numbers. |
|---|