MUMBAI, India, June 30 -- Intellectual Property India has published a patent application (202641073787 A) filed by Dr. K. Saranya; Dr. S. Gayathri; Dr. R. Nagarajan; Ms. G. Manjula Rajeswari; Mr. K. Balamurugan; Ms. Y. D. Christina Merline; Ms. V Bagyalakshmi; Mr. G. Prabhu; and Mr. R. Anand on June 14, 2026, for A Method For Rapid Prime Factorization Using Probabilistic Number Theory.

Inventors include Dr. K. Saranya; Dr. S. Gayathri; Dr. R. Nagarajan; Ms. G. Manjula Rajeswari; Mr. K. Balamurugan; Ms. Y. D. Christina Merline; Ms. V Bagyalakshmi; Mr. G. Prabhu; and Mr. R. Anand.

The application for the patent was published on June 26, 2026, under issue no. 26/2026.

Abstract: A method for rapid prime factorization using probabilistic number theory Abstract: A method for rapid prime factorization using probabilistic number theory is disclosed for efficiently determining the prime factors of large integers. The method employs probabilistic number-theoretic principles to generate and evaluate candidate factors, thereby reducing the computational burden associated with conventional deterministic factorization techniques. An input integer is processed through a probabilistic sampling mechanism that identifies regions of high factor likelihood. Candidate factors are subjected to iterative probabilistic validation and refinement procedures to detect non-trivial divisors with increased efficiency. Upon identification of a valid factor, the integer is decomposed and the factorization process is recursively applied to the remaining components until a complete prime factor set is obtained. The invention is applicable to computational number theory, cryptographic analysis, cybersecurity research, and high-performance mathematical computing systems.

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