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Abstract: An asymptotic formula for the sum of the first n primes is derived. Thisresult improves the previous results of P. Dusart. Using this asymptoticexpansion, we prove the conjectures of R. Mandl and G. Robin on the upper andthe lower bound of the sum of the first n primes respectively.



Author: Nilotpal Kanti Sinha

Source: https://arxiv.org/







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