User:Noblestrawberry/Patterson's Conjecture

Patterson's Conjecture  states if S (Pn) denotes the sum of all prime numbers prior to and including Pn and S (n) denotes the sum all of their indices then Pn evenly divides {S (Pn) - S (n)} if and only is Pn = 7, for Pn ≥ 2.

The statement was conjectured in 2007 by the amateur mathematician Fraser Patterson (1976) and remains unsolved.