Note for the Perfect Numbers

EasyChair Preprint 13131, version history

Version	Date	Pages	Version notes
1	April 29, 2024	7
2	July 11, 2024	7	We fixed the sentence: "there are no two consecutive Mersenne numbers M_{n} and M_{n+1} which can simultaneously be both primes for n > 2"
3	July 12, 2024	6	We summarize the explanation on geometric series.
4	July 15, 2024	6	Fixed formula in Proposition 1.

Keyphrases: Mersenne primes, divisor sum function, perfect numbers, prime numbers

BibTeX entry

BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:

@booklet{EasyChair:13131,
  author    = {Frank Vega},
  title     = {Note for the Perfect Numbers},
  howpublished = {EasyChair Preprint 13131},
  year      = {EasyChair, 2024}}