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4

Part of 2017 Turkey MO (2nd round)

Problems(1)

Turkey NMO 2017 p4

Source:

1/25/2018
Let d(n)d(n) be number of prime divisors of nn. Prove that one can find k,mk,m positive integers for any positive integer nn such that k−m=nk-m=n and d(k)−d(m)=1d(k)-d(m)=1
number theoryprime numbers