2023年5月1日 · Two numbers are coprime if their highest common factor (or greatest common divisor) is $1$. You can have the set of positive integers which are coprime to a given number: for example those coprime to $12$ are $1, 5, 7, 11, 13,17,19,23,25, $ and so on.

2018年2月2日 · What is the exact definition of coprime? I know that it basically means that there are no common factors, and one is not a multiple of the other. However, i recently learned that 1 is coprime to any number. What is really the definition of coprime? Which of the following values are coprime? 0, 0 0, 1 0, 2 1, 1 1, 2 2, 2 What about negatives?

2011年9月14日 · Randomly pick two numbers between $\ 2\ $ and a large number $\ n.\ $ What is the probability that the numbers are coprime in terms of $\ n\ $? 1 What is the density of co-prime numbers.

2015年12月29日 · However, where are many pairs?! For example, 5 and 101 are coprime. How can we generate them? Can we? I simply want a fast way to generate all coprime numbers to all numbers. Meaning that I want to create a Map that for every integer in 1..n will point into a List with all its coprimes.

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2019年9月14日 · So being “comaximal” (no maximal ideal contains both) is equivalent to being “coprime” (no prime ideal contains both). In more general rings, you can have maximal ideals that are not prime, and proper ideals that are not contained in maximal ideals, so the notions may diverge there. $\endgroup$ –

2020年12月21日 · I have a fundamental question, we know that Coprime numbers are integers that have only 1 as their common factor. Now, my question is how it works for the same numbers, for example, is $10$ coprime...

I have two coprime univariate integer polynomials. Although they have no common factor as polynomials, they may have common factors at some (integer) values. How can I find such a value? For examp...