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.
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.
. 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
, the radicals are: , their product is . Therefore, the output should be '6' digitsSolution Stats
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