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Difficulty: MediumPuzzle Details

Find three consecutive prime numbers that equal 409,457 when multiplied together?

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[Ref: ZAHU] © Kevin Stone 

Answer: 71, 73, 79.

The cube root of 409,457 is around 74.

The closest prime numbers to 74 are 61, 67, 71, 73, 79, 83, 89, 97.

It is quickly seen that the answer can only be found using 71, 73 and 79. QED.


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