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The first two series for e are of my own innovation are far faster than Newton’s method below giving 12+ digits after 7 terms compared to 15+ terms for Newton’s series. Nunghead

This criterion is based on Wilson’s Theorem. Recall that Wilson’s Theorem states that a number (x) is prime if and only if (x-1)!+1)/x is an integer. The generalization for twin primes goes like this If x is the lesser member of a twin prime pair then (x-1)!+1)/x and (x-1)!+1)/(x+2) are both integers therefore the denominators… Read more