Is there an odd integer $x < 105$ for which it is known that $x \nmid N$, if $N$ is an odd perfect number?

No, such a result would be a major breakthrough regarding our knowledge on odd perfect numbers.

A few years ago there was some confusion, since due to careless reading and citing of the article "Every odd perfect number has a prime factor which exceeds $10^6$" by Cohen and Hagis the impression arose that they had proved just such a theorem (which they never claimed).

Tags:

Nt.Number Theory

Perfect Numbers

Related

Inverse problem for zeta functions of curves over finite fields How to fit the parameters of differential equations with known data? Is there a finitely presented group with infinite homology over $\mathbb{Q}$? Norm of the upper triangular part of symmetric matrix K-theory for the $C^*-$algebra of the continuous functions on the $2-$torus and the Bott projection Undecidable puzzles Prime factorization "demoted" leads to function whose fixed points are primes Generators of the $ K_{0} $-group of the non-commutative torus $ A_{\theta} $ with $ \theta \in \mathbb{Q} $ (i.e. rational rotation algebra) Diagonalization via the Toda flow Is any particular algebraic number known to have unbounded continued fraction coefficients? Ideal classes fixed by the Galois group optimization problem, any solution?

Recent Posts