Some applications of Baaz’s generalization method to the study of the factors of Fermat numbers-Reference-Cited by-同舟云学术

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Some applications of Baaz’s generalization method to the study of the factors of Fermat numbers

Published:2022-09-30 Issue: Volume: Page:
ISSN:0955-792X
Container-title:Journal of Logic and Computation
language:en
Short-container-title:

Author:

Sauras-Altuzarra Lorenzo¹

Affiliation:

1. Institut für Diskrete Mathematik und Geometrie , TU Wien, Wiedner Hauptstrasse 8-10/104, A-1040, Vienna, Austria

Abstract

Abstract This paper revisits a method of generalization of proofs of universal sentences that was introduced by Baaz and provides several applications to the study of the factors of Fermat numbers; remarkably an improvement of his sufficient condition for a given value to be one of such factors.

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

Link

https://academic.oup.com/logcom/advance-article-pdf/doi/10.1093/logcom/exac056/49159952/exac056.pdf

Reference20 articles.

1. Note on the generalization of calculations;Baaz;Theoretical Computer Science,1999

2. Chapter 12 of Ramanujan’s second notebook: continued fractions;Berndt;Rocky Mountain Journal of Mathematics,1985

3. The twenty-fourth Fermat number is composite;Crandall;Mathematics of Computation,2003

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