Problem 53940. Easy Sequences 66: Fractional Part of Sum of Consecutive Powers over a Prime

Given three postive integers, x, e and n, create the function , defined as follows:
Where is the nth prime and the symbol is the fractional part function of a positive real number, defined as follows:
If then , where , is the 'floor' of r.
For example for , and , we have:
Therefore, since :
Please round-off the output to four decimal places, so in this case: .
HINT: This is related to the Faulhaber's formula.
Solve

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60.0% Correct | 40.0% Incorrect
Last Solution submitted on Sep 06, 2023

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easy number theory simple

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