05 Jun '04 00:22

All the numbers to follow are positive integers ðŸ˜›.

For what n is it possible to express n/M as the sum of two fractions with numerator 1 for all M? For what M, for each n, is this decoposition unique?

For example, it is possible for n = 1, and if M is prime the decomposition is unique (are there nonprimes for which it is)?

For what n is it possible to express n/M as the sum of two fractions with numerator 1 for all M? For what M, for each n, is this decoposition unique?

For example, it is possible for n = 1, and if M is prime the decomposition is unique (are there nonprimes for which it is)?