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3

Part of 2013 NZMOC Camp Selection Problems

Problems(1)

n distinct positive integers, the sum of whose reciprocals is equal to 1

Source: New Zealand NZMOC Camp Selection Problems 2013 p3

9/19/2021
Prove that for any positive integer n>2n > 2 we can find nn distinct positive integers, the sum of whose reciprocals is equal to 11.
reciprocalalgebranumber theory