Authors: Juan Moreno Borrallo
In this paper it is proved that the sum of consecutive prime numbers under the square root of a given natural number is asymptotically equivalent to the prime counting function. Also, it is proved another asymptotic relationship between the sum of the first prime numbers up to the integer part of the square root of a given natural number and the prime counting function.
Comments: 6 Pages.
[v1] 2017-10-19 02:50:41
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