Math W.

asked • 12/15/19

Proof that pairs of numbers whose GCF=1 can generate all subsequent integers

Prove that any linear combination of pairs of relatively prime numbers (that is pairs of numbers whose GCF is 1) will, beyond a certain number, generate all subsequent integers.

*This does not hold true for other pairs of integers, i.e. pairs of integers with a GCF greater than 1.

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