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arXiv · 1901.09668

Proofs of the Twin Primes and Goldbach Conjectures

T. J. Hoskins
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Abstract

Associate a unique numerical sequence called the modular signature with each positive integer, using modular residues of each integer under the prime numbers, and distinguishing between the core seed primes and non-core seed primes used to create the modular signatures. Group the modular signatures within primorials. Use elementary sieve properties and combinatorial principles to prove the twin primes and Goldbach conjectures.

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T. J. Hoskins. 2019-01-18. Proofs of the Twin Primes and Goldbach Conjectures. https://arxiv.org/abs/1901.09668

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