On Tuesday, August 26, 2014 11:22:42 PM UTC-5, Archimedes Plutonium wrote: (snipped) > I vaguely recall some mathematician (Euler probably) had a formula that listed all the primes between say 19 and 51, or something of such a nature. >
Now I am still looking that up, but I ran into Wilson's theorem
So, I wonder if we have a infinity borderline as 1*10^603, does that impact Wilson's theorem and allow for a complete ordering formula for the primes?
--- quoting from Wikipedia on Wilson's theorem ---
In number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if . That is, it asserts that the factorial is one less than a multiple of n exactly when n is a prime number.
The following table shows the values of n from 2 to 30, (n - 1)!, and the remainder when (n - 1)! is divided by n. (In the notation of modular arithmetic, the remainder when m is divided by n is written m mod n.) The background color is blue for prime values of n, gold for composite values. Table of remainder modulo n