Given an integer n, the primorial of n, , is defined as product of all primes from 2 to the n-th prime. In other words, if is the n-th prime number: .
For this problem, we want to calculate the hyperprimorial of n, which we will define as: .
For example:
; and
(with 1,650,583 digits).
From what we see above, calculating hyperprimorial will quickly involve extremely large integers, as such, please return only the last 6 digits of . Therefore, in the example above the final output should be: and .
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NOTE: OEIS's "hyperprimorial" sequence, #A076265, is not the same as what is defined in this problem.
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David Hill

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