Does the Riemann hypothesis imply anything about Ulam's spiral?

[Damidami]

Both Riemann hypothesis and Ulam's spiral (and http://en.wikipedia.org/wiki/Sacks_spiral" ) show some patterns emerge from the prime numbers.

I was wondering if there is some know relation between them, for example, if the RH is proven true does that imply something on Ulam's spiral?

 

[Mensanator]

No. ANY straight line on such a spiral is simply a quadratic equation. Plot random numbers on Ulam's spiral, you'll get straight lines galore. They will mean nothing, of course. Don't look for the black cat in the dark room that isn't there.

 

[CRGreathouse]

I think the whole point of number theory is that we're looking near the lamppost, even though we figure the black cat's in the dark room.