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


I have asked the same question in [MSE](https://math.stackexchange.com/questions/882559), but did not get any answers. I was wondering if anybody here has anything to share regarding this.


Thank you!



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).


