Published March 21, 2024 | Version v1

All Known Perfect Numbers other than 6 Satisfy N=4+6n

Authors/Creators

  • 1. Independent researcher

Description

For all 51 known perfect numbers ranging from (p=2 to p= 82589933) and with the only exception of N=6, all perfect numbers belong to the group of natural numbers formed by N=4+6n. If this observation can be proven valid for all existing even perfect numbers, that would automatically exclude 2/3 of all even numbers out of the possibility of being perfect. If this can be proven a necessary condition for all perfect numbers, then it would rule out the possibility of having any odd perfect numbers.

Files

712-Article Text-2022-1-10-20240320.pdf

Files (638.5 kB)

Name Size
md5:a7895f996a06afbb8338dd66e8182243
638.5 kB Preview Download