(In reply to
I suspect ... by Larry)
It looks like there is no solution. No need to test 20M numbers.
Since 192=2^6*3^1 you need to check only for the first 7 factors to prove the absence of integer solutions.
On the other hand if the bug in the text is a typo - replace 192 by 191 and show that n=1 is the only number that does it.
I saw instantly that 11+24+191=216=6*6*6.
Since 191 is a prime number the polynome has only one non-fraction root.
re: I suspect ... me, I am sure
