Tuesday, October 2, 2012

The Recursive Twin Pair Conjecture [Updated]

Let’s be (p,q)k the k-th pair of twin prime, then for each twin prime p > 11, it exists a i-th, j-th pair of twin primes (p1,q1)i, (p2,q2)j where i < j < k like :
p ≔ p1 + p2 + 1
q ≔ q1 + q2 - 1

Example:
(p1,q1)i≔(5,7)2
(p2,q2)j≔(11,13)3
(p,q)k≔(17,19)4

p≔17≔ 5 + 11 + 1
q≔19≔ 7 + 13 - 1

Another visual example can be found underneath :





See also my previous post about: The New Prime Numbers Conjecture.

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