Coprime integers

Figure 1. The numbers 4 and 9 are coprime. Therefore, the diagonal of a 4 x 9 lattice does not intersect any other lattice points

The order of generation of coprime pairs by this algorithm. First node (2,1) is marked red, its three children are shown in orange, third generation is yellow, and so on in the rainbow order.

In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime (also spelled co-prime) if the only positive integer that divides both of them is 1. That is, the only common positive factor of the two numbers is 1. This is equivalent to their greatest common divisor being 1. The numerator and denominator of a reduced fraction are coprime. In addition to $\gcd(a, b) = 1\;$ and $(a, b) = 1,\;$ the notation $a\perp b$ is sometimes used to indicate that a and b are relatively prime.

单词	Coprime numbers
释义	Coprime numbers 英语百科 Coprime integers In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime (also spelled co-prime) if the only positive integer that divides both of them is 1. That is, the only common positive factor of the two numbers is 1. This is equivalent to their greatest common divisor being 1. The numerator and denominator of a reduced fraction are coprime. In addition to $\gcd(a, b) = 1\;$ and $(a, b) = 1,\;$ the notation $a\perp b$ is sometimes used to indicate that a and b are relatively prime.
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Coprime numbers

Coprime integers