Pretty Pictures

[Damian]

I got curious and ran that same 1D version of the ant for 200.000 iterations (the first 200.000 primes!) (the actual value of t is much larger)
It seems the ant likes south more than north
It seems to converge to -inf, does anybody has an idea why? Or maybe for t enough large it returns to the origin and the positives values...

Here's the pic:

[JuanTutors]

Originally Posted by Damian

I got curious and ran that same 1D version of the ant for 200.000 iterations (the first 200.000 primes!) (the actual value of t is much larger)
It seems the ant likes south more than north
It seems to converge to -inf, does anybody has an idea why? Or maybe for t enough large it returns to the origin and the positives values...

Here's the pic:

I have a feeling it's just an illusion. (Look up strong law of small numbers.) The reason I think it's an illusion is that something that you might REALLY expect would go to infinity is this:

http://www.primepuzzles.net/puzzles/puzz_271.htm

That prime gap tug of war has "reason" to go to infinity, but it might not. This has almost no reason to go to either plus or minus infinity.