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What is the smallest non-prime natural number that is not divisible by any number on the...

What is the smallest non-prime natural number that is not divisible by any number on the following list?

2, 3, 5, 7, 11, 13, 17.

Explain your reasoning.

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Answer #1

As we need the smallest non-prime natural number that is not divisible by any number on the following list.

2, 3, 5, 7, 11, 13, 17

By taking multiplication of next two prime number 19 and 23=437 will give us the smallest non prime natural number.

As all prime numbers from 2 to 17 are listed so all natural numbers less than 437 except 1 can be written as product of any prime numbers listed. But 437 can't because it's factor are 19 and 23 which is not listed.

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