I have spent the past few days sorting through random number and seed patterns, and I have discovered some really neat properties to relate them. This entire series of research is regarding the little collab between Deoxal and I regarding the correlation between the random numbers and their seeds. Anybody who wants to help can help by attempting to prove these wrong, or at least giving more insight on the particular conjecture. I intend to add more posts to this thread with more conjectures.

N represents the first random number generated by an nonnegative integer seed S

The random seed function inputs a seed, and outputs the first random number that the generator returns with that given seed value.

Conjecture #1- the 9,7,4,2 pattern

For every value of S less than 13, round(10N,1) will always be approximately equal to either 9,7,4,2. The pattern oscillates until S=13, but the relationship remains reasonably approximate for much longer, slowly growing more inaccurate until it is almost completely flawed.

The following conjecture has been rewritten to better explain the point after a helpful comment by Deoxal

Conjecture #2- the largest gaps between the random seeds occur between numbers divisible by 58 and 59. For small seed values the 59 divisible seeds are (usually) the biggest, but since this pattern seems to shift downward over time, it probably isn’t an important way to find 1 valued random seed functions.