Number Theory

    

Every Perfect Number, Except 6, Always Has a Digital Root Equal to 1

Authors: Filippo Giordano

Euclid, in 300 BC observed that with n = prime number, whenever 2^n —1 corresponds to a further prime number, then (2^n—1)2^(n—1) is a perfect number.As the research on perfect numbers went on, a curious property of them was noticed: the sum of the single digits of which each perfect number is composed (with the exception of 6), perpetuated until a single digit is reached, always converges to 1. This characteristic leads to the hypothesis that all perfect numbers, including those still unknown, retain this property. But why does the first perfect number not coincide with the root 1? Is it the only exception or will others be discovered later? The glimpse of light that illuminates the conjecture finds an explanation in the cyclical dimensions of numerical systems.

Comments: 2 Pages.

Download: PDF

Submission history

[v1] 2023-01-07 10:09:35

Unique-IP document downloads: 161 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus