Can you find three consecutive prime numbers …
… that equal 409,457 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
The cube root of the given number is a good starting point.
Answer
71, 73, 79.
Reasoning
The cube root of 409,457 is around 74.
The closest consecutive prime numbers to 74 are: 61, 67, 71, 73, 79, 83, 89, 97.
Using a calculator, it is quickly seen that the answer can only be found using 71, 73 and 79.
