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Download PDFOpen PDF in browserNew Prime Number TheoryEasyChair Preprint 113099 pages•Date: November 17, 2023AbstractThis paper introduces a novel approach to estimating the sum of prime numbers by leveraging insights from partition theory, prime number gaps, and the angles of triangles. 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. Keyphrases: Prime Gap, Prime number, Theory of partitions primes Download PDFOpen PDF in browser |
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