Prove the randomness of elements in list

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I wrote a function that generates random numbers (but not with libraries) I could use numpy or statistic library in python, But generate them from scratch.

Now I have a list of numbers, But the problem is how can I show that these numbers are actually random? I am familiar with the concept of correlation but don't know how to use it for my problem or is there any other mathematical way or library to prove this?

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Thanks in advance

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