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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 $p|a_i$ 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 4481 times total.

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AMS MSC11-00 (Number theory :: General reference works )

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