Category:Integer Combination of Coprime Integers
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This category contains pages concerning Integer Combination of Coprime Integers:
Let $a, b \in \Z$ be integers, not both zero.
Then:
- $a$ and $b$ are coprime
- there exists an integer combination of them equal to $1$:
- $\forall a, b \in \Z: a \perp b \iff \exists m, n \in \Z: m a + n b = 1$
In such an integer combination $m a + n b = 1$, the integers $m$ and $n$ are also coprime.
Pages in category "Integer Combination of Coprime Integers"
The following 10 pages are in this category, out of 10 total.
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- Integer Combination of Coprime Integers
- Integer Combination of Coprime Integers/Also known as
- Integer Combination of Coprime Integers/General Result
- Integer Combination of Coprime Integers/Necessary Condition
- Integer Combination of Coprime Integers/Necessary Condition/Proof 1
- Integer Combination of Coprime Integers/Necessary Condition/Proof 2
- Integer Combination of Coprime Integers/Sufficient Condition
- Integer Combination of Coprime Integers/Sufficient Condition/Proof 1
- Integer Combination of Coprime Integers/Sufficient Condition/Proof 2
- Integer Combination of Coprime Integers/Sufficient Condition/Proof 3