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
Problem Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers11
Suggested Problems
-
47442 Solvers
-
13704 Solvers
-
139 Solvers
-
698 Solvers
-
Highly divisible triangular number (inspired by Project Euler 12)
168 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
