On 4/10/2016 3:56 PM, Jonathan Day wrote:
These are not known to be significant and there is no logical reason to believe 
they are significant. However, they are interesting and worthy of thought. Many 
here will have already done so, but a refresher never hurts.

Pi can be calculated as a function, but any specific digit can also be 
calculated directly, which implies the digits are non-random in some sense. The 
overall distribution is equivalent to random, but the next two points show 
that's not a measure of true randomness, merely a pre-requisite.

Next, the distribution of prime numbers is similar in nature to the 
distribution of quantum states of particles. There are systems where the energy 
states do match the pattern of primes.

Primes are not quite random. If you know the last digit of a prime number, then 
you can predict the last digit of the next prime number significantly better 
than average. Apparently, in some cases, you've a 60%+ chance of doing so.

You can do better than that if the number is  in binary.

Brent

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