To use a bowling term, prime numbers are the 'open frame', they are numbers with nothing happening to them, they are not divisible by anything.

It takes just three bowling balls to take out all non-prime numbers and end up with all prime numbers remaining. As such, it appears there is a pattern, but in reality it is the aftermath of a pattern. It is the negative of a pattern.

I figured this out in 1992. The results were published in 2000. I received one scientific footnote for that work. In 2002, Agrawal, c.s. published the mathematical formula.

I wrote an article on Medium about my research of 30 years ago.

The more interesting aspect (for me) was that zero was and is always part of any number system. That is far more important than the sequencing of the (non) prime numbers.

'Discovering Zero Among the Prime Numbers"

https://medium.com/cantors-paradise/discovering-zero-among-the-prime-numbers-65a47cbf79ec