u/Double_Constant_3785

I derived an exact recurrence relation for the sequence of primes, where p_n​ is determined solely from p_1, ..., p_{n-1}​. How significant is such a result in number theory?

The recurrence was discovered empirically through numerical experimentation rather than derived from first principles, but it reproduces the primes exactly up to at least the 100 millionth prime in my computations.

I'm just reviewing everything before publishing it.

Edit:

The recurrence:

https://preview.redd.it/8ey06u5i4m2h1.png?width=389&format=png&auto=webp&s=99804e84c88143c85590d41dd653f1c685b0bbf5

I derived an exact recurrence relation for the sequence of primes, where p_n​ is determined solely from p_1, ..., p_{n-1}​. How significant is such a result in number theory?

The recurrence was discovered empirically through numerical experimentation rather than derived from first principles, but it reproduces the primes exactly up to at least the 100 millionth prime in my computations.

I'm just reviewing everything before publishing it.

https://preview.redd.it/e5h7208l5m2h1.png?width=389&format=png&auto=webp&s=60a2057f1585df1ded1f480011126386b2bf6a71

Edit:
The recurrence:

Which tables are better at wpt gold? The ones with or without the bomb pots? In terms of how many - splashy - recs at them; and other factors you might consider. I for one don't like bomb pots, but might be wrong.