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March 27, 20260 citationsOpen Access

The Bateman-Horn Conjecture

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JKJoseph R. KeenUniversity of California, Riverside

Key Points

  • To provide a proof for the asymptotic density formula related to simultaneous prime values of polynomials.
  • Developed a proof framework for the conjecture
  • Analyzed relationships between polynomials and their prime outputs
  • Demonstrated that the formula accurately describes the asymptotic behavior of prime outcomes from polynomials

Abstract

Preprint v1 — A proof of the asymptotic density formula for simultaneous prime values of polynomials. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings. Author: Joseph Keen Affiliation: Phoenix Quantum Labs LLC

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Cite This Study

Joseph R. Keen (2026) studied this question.

synapsesocial.com/papers/69c6204c15a0a509bde18c4ehttps://doi.org/10.5281/zenodo.19216678
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