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2023 IOQM/Problem 9

Revision as of 08:06, 20 October 2023 by Sansgankrsngupta (talk | contribs) (→‎Problem)

Problem

Find the number of triples $(a, b, c)$ of positive integers such that (a) $ab$ is a prime;

(b) $bc$ is a product of two primes;

(c) $abc$ is not divisible by square of any prime and

(d) $abc\leq30$

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