MathDB

IOQM 2023-24 P-9

Source:

September 3, 2023

Problem Statement

Find the number of triples

(a, b, c)

of positive integers such that (a)

a b

is a prime; (b)

b c

is a product of two primes; (c)

a b c

is not divisible by square of any prime and (d)

a b c \leq 30

.

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