Basically, I would like to search for primes $p$, and positive integers $y, z$ satisfying $$y < z$$ and $$1 + p^y < 2p^{2y-z}.$$
for(p=1, 10000, for(y=1, 10000, for(z=1, 10000, if(isprime(p) && y<z && 1+p^y<2p^(2y-z),print(p," ",y," ",z)))))
When I try to compile the above code using Sage Cell Server, it gives me the following error:
*** syntax error, unexpected ')': ...int(p," ",y," ",z)))))
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I did already check and verified that all the parentheses are in their proper places.
Please help!
