𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Odd Perfect Numbers: Some New Issues

✍ Scribed by M. V. Subbarao

Book ID
111536263
Publisher
Springer Netherlands
Year
1999
Tongue
English
Weight
176 KB
Volume
38
Category
Article
ISSN
0031-5303

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Odd perfect numbers
Odd perfect numbers
✍ Heath-Brown, D. R. πŸ“‚ Article πŸ“… 1994 πŸ› Cambridge University Press 🌐 English βš– 608 KB
A new lower bound for odd perfect number
A new lower bound for odd perfect numbers
✍ Brent, Richard P.; Cohen, Graeme L. πŸ“‚ Article πŸ“… 1989 πŸ› American Mathematical Society 🌐 English βš– 862 KB
There are no small odd perfect numbers
There are no small odd perfect numbers
✍ Aleksander Grytczuk; Marek WΓ³jtowicz πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 278 KB

We prove that every odd perfect number N has at least 420 distinct prime divisors, and that N is greater than 1~ 9 x 10'""'. 0 AcadCmie des Sciences/Elsevier, Paris I1 n'existe pas de petits nombres par$aits impairs RCsumC. Nous defmontrons que tout nombre N parfait impair posskde au mains 420 facte

On some properties of the Euler's factor
On some properties of the Euler's factor of certain odd perfect numbers
✍ Paolo Starni πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 85 KB

Let n = 3 2 Q 2 be an odd positive integer, with prime, ≑ ≑ 1 (mod 4), Q squarefree, ). Some corollaries concerning the Euler's factor of odd perfect numbers of the above mentioned form, if any, are deduced.