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[parent] mutually coprime (Definition)

Natural numbers $ a_1,a_2,\dots,a_n$ are called mutually coprime if there is no $ p\in\mathbb{N}$, $ p>1$ with $ p\vert a_i$ for all $ i\leq n$. By this definition for example $ 15$, $ 21$ and $ 25$ would be mutually coprime though they are not pairwise coprime, because that would mean that each pair of these numbers is coprime.



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Also defines:  pairwise coprime

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Cross-references: coprime, numbers, natural numbers
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This is version 2 of mutually coprime, born on 2004-04-14, modified 2004-04-14.
Object id is 5760, canonical name is MutuallyCoprime.
Accessed 3434 times total.

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AMS MSC: 11-00 (Number theory :: General reference works )
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