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May 12, 20260 citationsOpen Access

Twin Architect: The geometry of Prime Numbers

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CBChaitanya Bankar

Key Points

  • This research aims to develop an efficient algorithm for generating prime numbers without traditional brute-force methods.
  • Employs two distinct formulas for generating primes at even and odd indices.
  • Utilizes novel sequences to produce each prime number in order without divisibility checks.
  • Eliminates the need for brute-force techniques and sieving methods.
  • Successfully generates primes in a deterministic manner without traditional brute-force testing.
  • Demonstrates the effectiveness of using distinct formulas for prime generation across indexed positions.

Abstract

The algorithm in this paper solves the problem of generating prime numbers without brute-force testing,one-by-one in a sequence.It employs two distinct formulas: one generating primes at even indices for prime numbers and the other at odd indices for prime numbers, using novel sequences to deterministically produce each prime in order without divisibility checks or sieving methods(no brute forcing techniques needed or involved).

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Cite This Study

Chaitanya Bankar (2026) studied this question.

synapsesocial.com/papers/6a02c345ce8c8c81e96409d2https://doi.org/10.5281/zenodo.20109843
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