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Probability of being coprime (Posted on 2018-07-11)

What is the probability of two randomly chosen integers being coprime?

Bonus(d4): How does the result relate fo the density
of square-free numbers?

No Solution Yet Submitted by Ady TZIDON

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re(2): computer approximation (vs researched solution)

| Comment 3 of 4 |

(In reply to re: computer approximation (vs researched solution) by Charlie)

Interesting that the indicated solution, pi^2/6, is the inverse of the infinite sum 1/n^2 - the Basel problem, first proved by the incomparable master, Leonhard Euler.

Is there any deep significance in this?

Who knows?

In Euler's absence, any ideas, dear Perplexi?

Posted by JayDeeKay on 2018-07-16 13:09:08

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