CoPrimes of Large Numbers

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If I have Large Number, and I want to find all possible CoPrime numbers for it, including Large Numbers above it, inside a certain set...how do I do that?

I can only seem to find ways to find CoPrimes below it.

Is this because numbers above it will never be CoPrime?

Do I just check every number above it in the set, one by one?

Have I missed something important as to how CoPrime numbers work?