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The factoring of large integers by the novel CastellFact-Algorithm, 12th part. Following the introduction of the novel TietkenCastell-Prime-Algorithm in order to definitely and correctly identifying and generating prime numbers of unlimited size in an indirect way

Authors: Urvashi Butalia

DOI: 10.87349/JBUPT/271006

Page No: 166-175


Abstract

Our essays 1 to 11 describe the applicable Castell-Fact-Algorithm, which factorizes large integers, was ignored and rejected by economy and politics. Innovations concerning data protection and security seem not to be in great demand by neither the NSA, nor by Facebook & Co. In the following essay part 12, we introduce the Tietken-Castell-Prime-Algorithm, which is able to indirectly a) produce prime numbers b) identify prime numbers, c) and which is suitable for the factoring of large numbers (composed of prime numbers) after creating a comprehensive registry of numbers.

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