Newbie Mathematica coding Question: Evaluate \sum_{m =1}^{6076} 1/(1-1/p_m) where for any integer n, p_n is the n-th prime.

Artisanico

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Jan 20, 2024
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I'm new to Mathematica and am on the 15-day trial. I have been trying to get help from their customer support but, presumably due to burden of work, they are slow, and my time is fast running out.

There are two problems I need to solve, and I should be very grateful if someone here could supply me with suitable coding to paste into a .nb file.

Problem 1):
Evaluate \sum_{m =1}^{6076} 1/(1-1/p_m)
where for any integer n, p_n is the n-th prime.

Problem 2):
Find the number of 60184 <= m <= 60184^2 for which |\{p \in P(6076): p | m \}| = 1, where P(n) is the set of the first n primes.

Customer Support said that, to save computation time, these ought to be 'parallelised'. This means nothing to me, unfortunately!

With many thanks in advance.
 
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