Proof of the odd perfect number conjecture
Abstract
The odd-perfect divisor conjecture is a classic problem in the field of number theory. The core question is whether there is a positive odd number that satisfies “the sum of all true divisors is equal to itself”. This article will be based on the premise assumption that “there are positive infinite odd numbers” and follow the established logical deduction to prove that odd perfect numbers do not exist, that is, the conjecture of odd perfect numbers does not hold.
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Theories
Algebraic Geometry and Number Theory
Publication details
- Publication date
- 14 January 2026
- Document type
- Preprint