In Easy Sequences 85, we define the hyperprimorial of n, as a exponent ladder of primes numbers from the n-th prime down to first prime (2). OEIS, however, defines hyperprimorial differently. In OEIS sequence #A076265, the hyperprimorial of n, () defined as follows:
where: is the i-th prime number.
Using the above formula, we want to calculate , which is the sum of all hyperprimorials from 1 to n:
For example:
.
Since this will involve large integers, please output a vector containing first 6, last 6, and the number of digits of . Therefore, the final function output should be: .
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