- #1
soandos
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why is this 1/zeta[2]?
Coprime numbers are two numbers that do not have any common factors other than 1. This means that their greatest common divisor (GCD) is 1.
To determine if two numbers are coprime, you can find their GCD using methods such as Euclid's algorithm. If the GCD is 1, then the numbers are coprime.
Coprime numbers have several applications in mathematics, such as in number theory, cryptography, and probability. They also play a role in determining whether a fraction is in its simplest form.
No, not all prime numbers are coprime. For example, 2 and 4 are both prime numbers, but they are not coprime because they share a common factor of 2.
In probability, the odds that two randomly chosen numbers are coprime is approximately 6/π^2 or about 61%. This is known as the Coprime Conjecture and has been a topic of interest in mathematics for centuries.