The First Primes

"Just because we can't find a solution, it doesn't mean there isn't one" -Andrew Wiles

Prime numbers are very interesting and mysterious. The irregular nature of their location creates a barrier in which a formula is virtually impossible to find. I know for a fact all prime numbers greater than 5 are located near multiples of 6 or more precisely, at 6x±1, where x is a natural number. Solving for x is a simple way to test if a number is almost a prime. A few more steps are necessary if it’s a legitimate prime number. First, we must understand one thing: 1, 2 and 3, the first three prime numbers (1 still qualifies as a prime), are the key to unlock primes and are the basis of all primes. 

1, 2, and 3 are the factors of 6, the first perfect number. 1 is the deciding factor whether a number is prime or not and where the number is possibly located by adding or subtracting 1 from 6 and its multiples (6-1, 6+1). 2 and 3 are the only consecutive prime numbers and the only ones necessary to find prime numbers between 4 and 24. 

1 and the first prime numbers, have given us a starting point to find the first few primes. If we divide [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24] by [2 and 3]; that leaves out 5, 7, 11, 13, 17, 19, and 23. All prime numbers. Now we have something to work with.