As someone who occasionally contemplates upon the Origin of Everything (something that I think every sapient being does at least once), looking at the Ulam Spiral felt like there was a faint inspiration just waiting outside the grasp of my understanding;

What if Reality came into existence simply out of mathematical truths and the patterns arising from them?

That would require no First Cause.

And of course, there would be multiple ways to "see" those patterns, with our universe being just one of those ways, just as the Ulam Spiral being a specific 2D ordering of primes. I said "came into existence" but it may be more accurate to say that all perceived existence is just one interpretation or another, of fundamental truths.