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.For a given index n, if 
is the n-th Fibonacci number (
and 
for 
), write a function R(n), that calculates the radical of .
is the n-th Fibonacci number ( and for ), write a function R(n), that calculates the radical of .For example, if 
then 
, therefore R(12) = 2 * 3 = 6.
then , therefore R(12) = 2 * 3 = 6. And, for 
, 
, therefore R(24) = 2 * 3 * 7 * 23 = 966.
, , therefore R(24) = 2 * 3 * 7 * 23 = 966.Since output can be large, please present R(n) as a string (double quotes) array of digits.
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The "hidden rules" on this one are quite a bit different!
Forbidden strings are: persistent global regex [ {
So java and BigInteger are allowed, but not literal arrays or cell arrays?
The largest number to radicalize is fib(10000).