Problem 52814. Easy Sequences 27: Product of Radicals of Integers

The radical of a positive integer x is defined as the product of the distinct prime numbers dividing x. For example, the distinct prime factors of is , therefore the radical of is . Similarly, the radicals of , and are , 5 and , respectively, The number1is considered to be the radical of itself.
Given a limit n, find the product of the radicals of all positive integers . Since, the radical product can get huge fast, please output only the number of digits of the product.
For , the radicals are: , their product is . Therefore, the output should be '6' digits
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70.59% Correct | 29.41% Incorrect
Last Solution submitted on Dec 25, 2025

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