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 2018-01-02, 05:37 #8 George M   Dec 2017 2·52 Posts I believe these primes are called “Proth Primes” Doing a little bit of research, these primes are called “Proth Primes”. We also have the Prime Gap Equation which when writing in TEX, I accidentally forgot to add 2 to the RHS. Here is the clean version. $p_{n+1} \ = \ \{2 \ + \ \sum_{k = 1}^n(p_{k + 1} \ - \ p_k) \ : \ p_m \ = \ m^{th} \ prime \ number\}$ I mentioned this equation on three or four other threads I believe (Conjectures R Us, Prime Gap News, Predict M50/M51, etc) for I was trying to find a proof. Does anyone have a proof of this equation? Last fiddled with by George M on 2018-01-02 at 05:38