Wow that is crazy that it is between chance and 1/phi.
In the linked MSE post, it has now been proved that the probability that the largest root is real is at least 6.2%
And! at least 1/10th of 1/phi. Hahaha! :)
I think the link of phi with number theory is natural in the sense that the primes are not random (as is commonly mistaken) but arise recursively from prior primes: they are exactly the 'gaps' not hit by multiples of prior primes, so there's a kind of 'natural growth' pattern that we would expect to reflect some manner of e and phi
It's a very fundamental pattern of magnitude. Truth beauty et all
In the linked MSE post, it has now been proved that the probability that the largest root is real is at least 6.2%
And! at least 1/10th of 1/phi. Hahaha! :)
I think the link of phi with number theory is natural in the sense that the primes are not random (as is commonly mistaken) but arise recursively from prior primes: they are exactly the 'gaps' not hit by multiples of prior primes, so there's a kind of 'natural growth' pattern that we would expect to reflect some manner of e and phi
It's a very fundamental pattern of magnitude. Truth beauty et all