### I cannot seem to figure out what's wrong with the following Sage / Pari-GP code

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!