Problems & Puzzles: Conjectures

Conjecture 71. Twin primes and π.

Werner Sand sent the following conjecture:

Let t be the minor partner of a twin prime (presumed there are infinitely many), then the infinite
Product[1/(1-1/t)] (t=3...infinite) =
π = 3.14159...

According to computations, the product increases monotonously from 3/2 to  π and at the point of t = 23887065569, it is = 3.024374573...

Q. What can you comment about this conjecture?

Werner Sand sent (July 25, 2012) the following comment.



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