HF RL Explorer

Task: Prove and Verify log(n!) = Θ(n·log(n))

Task: Prove and Verify log(n!) = Θ(n·log(n)): a task in Terminal-Lego-15k (Harbor dataset). You are tasked with proving mathematically and verifying computationally that log(n!) = Θ(n·log(n)) .

The task

You are tasked with proving mathematically and verifying computationally that **log(n!) = Θ(n·log(n))**.

Part of PrimeIntellect/Terminal-Lego-15k.