Basically, I would like to search for counterexamples to my conjecture that $$(2xy - \sigma(xy)) < (2x - \sigma(x))(\sigma(y) - y)$$ where $\sigma$ is the sum of divisors.
I tried using the following Pari-GP script in Sage Cell Server:
for(x=1, 100000, for(y=1, 100000, if(2*x*y-sigma(x*y) >= (2x-sigma(x))*(sigma(y)-y),print(x," ",y))))
However, it is returning the following error message:
*** syntax error, unexpected ')', expecting )-> or ',':
*** ...-sigma(x*y)>=(2x-sigma(x))*(sigma(y)-y),print(
*** ^---------------------
I did already check and verified that all the parentheses are in their proper places. I also checked for missing asterisks and verified that there are none.
