One hour on a 1,000 logical qubit machine: what would you run?

[DarkRock99]

Here is a fun thought experiment for the quantum board. Imagine someone hands you a fully fault tolerant quantum computer with 1,000 reliable logical qubits. Not the noisy machines we read about every week, but something that can run long, deep circuits without falling over. The catch is that you only get one hour on it

What would you run? The obvious answers are breaking an old encryption key to prove a point, or simulating a molecule that classical computers choke on. FeMoco, the nitrogen fixing enzyme, comes up in almost every quantum chemistry paper for good reason. Battery materials, high temperature superconductors and new catalysts are all on the wish list

But I am more interested in the less obvious ideas. Maybe there is a physics question you have always wanted answered, or a simulation that would settle an argument once and for all. Someone might even want to run something silly, just to say they did it on the world's best quantum computer. Creativity counts as much as practicality here

A thousand logical qubits is a lot, but it is not unlimited. Algorithms like Shor's for big RSA keys likely need more, and runtime matters too, so an hour might not be enough for some tasks. Bonus points if you can explain why your choice fits that budget

So, what goes in the queue? Practical, scientific or just for fun, all answers welcome