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

Created by Ramon Villamangca

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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.

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Last Solution submitted on Sep 06, 2023

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

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

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