May near seeds in random number generation give similar random numbers?
First: define similarity. Next: code a similarity test. Then: check for similarity.
With only a vague description of similarity it is hard to check for it.
I'm using sequential seeds (1,2,3,4,...) for generation of random numbers in a simulation. Does the fact that the seeds are near each other make the generated pseudo-random numbers similar as well?
I think it doesn't change anything, but I'm using python
Edit: I have done some tests and the numbers don't look similar. But I'm afraid that the similarity cannot be noticed just by looking at the numbers. Is there any theoretical feature of random number generation that guarantees that different seeds give completely independent pseudo-random numbers?