I've found a Prime Number pattern, that is not Infinite

If p(n) can be designated as the nth Prime.

Then

p(2n)+/-2 shall be Prime, when adding or subtracting 2!

1+1+0

3+2+2

7+4+2

13+6-2

29+10+2

37+12-2

43+14+2

53+16+2

*1 is the 0th Prime.

It stops at p (18), for 61+18+2 is 81

61+18-2 is 77

For what?

With the odds, or at p(2n-1), +/-1 works for another finite span.

2+1-1 is 3

5+3-1 is 7

11+5+1

17+7-1 is 23

23+9-1 is 31

31+11+1+/-1

41+13-1

47+15-1 is 61

59+17+1 is composite, as is 59+17-1

I think that this is on the road, to being a formula for Prime Numbers.

We don’t want to know the prime numbers. We want to know the pattern in which they appear. That is far more important

This is not a consistent, desernable pattern.

However; (2n of p)+2p+/-2 has a far higher percentage of forming Primes than not.