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Well technically a prime is defined to be a number greater than one such that it only has factors of 1 and itself You must have at least two unique natural divisors to get on this ride. 1 is specifically thrown out by definition.

Perfect! : BrooklynBenz

For all prime numbers greater than 3 it works It's sad that 1 doesn't get to be prime, but, hey Also, all prime numbers (p>3) squared are 1 more than a multiple of 24!

I found a flaw in the riemann hypothesis and can prove that 1705549 is a prime number

How can i publish my proof 1705549 is a prime number, but this doesn't have any implication for the riemann hypothesis. It's not a way of checking an individual prime number but a way of generating all primes up to a given number If you optimise it well, it's pretty efficient and, if you have the memory to hold the list of primes it generates, can be used for multiple prime tests

Like i said, it's not what you asked for, but it might be a useful alternative. The author forgot to mention that the fundamental theorem of arithmetic states that every number greater than 1 is either a prime number or can be represented as a unique product of primes. The prime number theorem says, roughly, that the probability a random number n is prime approaches 1/ln (n) when n gets big Just because there's no simple rule doesn't mean there's randomness.

It is due to the fact that addition and multiplication are closed under modular arithmetic with respect to a prime number, because it is coprime to all numbers

This allows for there to be sufficient mixing of the keys while still being sure that all values from 0.n can be returned from the hash function Prime numbers aren't necessary, but they offer a shorthand notation for essentially. 1 only has a single natural divisor