(In reply to
Possible solution by armando)
I was surprised by two things:
1. How easy it was to find three solutions. I expected at least one of them to be big enough to be hard to find.
2. How hard it is to find four solutions.
In searching up to P=10000 there is no other solution. There is a near solution at p=3532 which my little calculator program flagged. I can't search further this way because I'm up against my digital precision.
I tried narrowing things down by going mod 2,3,5,7,11 and although this puts some constraints on P (and Q) it doesn't seem to point the way.

Posted by Jer
on 20160514 14:45:28 