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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