Obviously easy

Number Theory Level pending

What is the smallest non-square positive integer that is the product of four prime numbers (not necessarily distinct)?


The answer is 24.

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1 solution

Ravi Dwivedi
Jan 12, 2016

The smallest two integers that are the product of four primes are 16 = 2 4 16=2^{4} and 24 = 2 3 × 3 24=2^{3}\times 3 Since 16 16 is a perfect square and 24 24 is not, the answer is 24 \boxed{24} .

Moderator note:

Good approach used. What is the third smallest integer that is the product of 4 primes?

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