evaluate-h-1-1-h-1-p-h-p-h-P-Set-of-primes-h-Z-

Tinku Tara July 16, 2025 None 0 Comments

Question Number 223169 by wewji12 last updated on 16/Jul/25

evaluate Σ_(h=1) ^∞ (((−1)^(h−1) )/p_h ) , p_h ∈P(Set of primes) , h∈Z

$$\mathrm{evaluate}\: \\ $$$$\underset{{h}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\left(−\mathrm{1}\right)^{{h}−\mathrm{1}} }{{p}_{{h}} }\:\:,\:{p}_{{h}} \in\mathbb{P}\left(\mathrm{Set}\:\mathrm{of}\:\mathrm{primes}\right)\:,\:{h}\in\mathbb{Z} \\ $$

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