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Question: Does the below infinite sum involving primes converge?

Question:Does the below infinite sum involving primes converge?

AlexShura 25 Maple
prime summation
November 05 2022
3
Does the below infinite sum involving primes converge?sum(1/(Prime(n)Prime(n+1)Prime(n+2)*Prime(n+3)),n=1... infinity) Free WolframAlpha app runs out of time while evaluating this sum... The term values which free WolframAlpha app shows for this sum (starting from the term 41 and on) is 0.0059292... If 0.0059292 is indeed the value for this sum, could then more significant digits be produced? Thanks, Best Regards, Alexander R. Povolotsky
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