NEW PRIME NUMBER THEORY

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I am writing to express my strong desire to pursue a Ph.D. in math. I am incredibly passionate about this field and feel a deep connection to the study of math. I am reaching out to you with a humble request for assistance. I currently lack the necessary resources and guidance to embark on this academic journey. If you could provide me with any help, I would be immensely grateful. Your support would mean the world to me and enable me to pursue my dreams in math

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The methodology is applied to infinite sums and the nth sum, and several ways of defining the nth sum of a prime number are proposed. By using the Ramanujan infinite series of natural numbers, it is possible to derive an infinite series of prime numbers

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