Problem 57412. Easy Sequences 85: Hyperprimorials
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:
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
.
-----------------------------
NOTE: OEIS's "hyperprimorial" sequence, #A076265, is not the same as what is defined in this problem.
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