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Teaching the computer how to discover(!) and then prove(!!) (all by itself(!!!)) analogues of Collatz's notorious 3x + 1 conjecture

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Publication:2997148
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DOI10.1080/10236190902953789zbMath1223.68130arXiv0903.4050OpenAlexW2046939574WikidataQ122927314 ScholiaQ122927314MaRDI QIDQ2997148

Doron Zeilberger

Publication date: 6 May 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4050


zbMATH Keywords

computer proofCollatz conjecture


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Recurrences (11B37) Special sequences and polynomials (11B83)



Uses Software

  • LADAS
  • COLLATZ


Cites Work

  • On some difference equations with eventually periodic solutions
  • The 3x + 1 Problem and Its Generalizations
  • Open problems and conjectures


This page was built for publication: Teaching the computer how to discover(!) and then prove(!!) (all by itself(!!!)) analogues of Collatz's notorious 3x + 1 conjecture

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