#Number Theory (clarification of concept)

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vague ivyBOT
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formal carbon
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we can rewrite this as 11n=6a+b
and 13m=6a+b
by definition of divisbility for inteners nm

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but then we can see 6a+b, in its prime factorization

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must have a factor of 11

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and a factor of 13

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so it can divide 143

formal carbon
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so if 11|6a+b

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this means that 11 times some integer m

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is equivalent to 6a+b

humble basinBOT
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@magic kite has given 1 rep to @formal carbon