In this connexion, has anyone discovered any more spoof odd perfect numbers, such as Descartes's 2 2 2 2 3 7 11 13 22021 which is perfect if you pretend that 22021 is prime ? R. On Thu, 9 Oct 2003, Jud McCranie wrote:

At 07:20 AM 10/9/2003, f.firoozbakht@sci.ui.ac.ir wrote:

...

a(n) is the n-th odd number that sigma(n)=2n+6.

a(1)=8925, a(2)=32445, a(3)=442365, a(4)=?

I know a(4) is greater than 2*10^9 .

There are no terms between 2*10^9 and 6.5*10^9.