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  2. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The Collatz conjecture states that all paths eventually lead to 1. The Collatz conjecture [a] is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1.

  3. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    A proof of this conjecture, together with the more powerful geometrization conjecture, was given by Grigori Perelman in 2002 and 2003. Perelman's solution completed Richard Hamilton 's program for the solution of the geometrization conjecture, which he had developed over the course of the preceding twenty years.

  4. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  5. Talk:Collatz conjecture/Archive 1 - Wikipedia

    en.wikipedia.org/wiki/Talk:Collatz_conjecture/...

    Collatz Observations discusses observations about the Collatz Conjecture as it pertains to a bijection over the natural numbers. I am removing the above link from the External links section because the page it links to is incorrect. It claims to present a breathtakingly simple proof of the conjecture which is, as it turns out, not a proof at all.

  6. Conjecture - Wikipedia

    en.wikipedia.org/wiki/Conjecture

    In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. [ 1 ] [ 2 ] [ 3 ] Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem , proven in 1995 by Andrew Wiles ), have shaped much of mathematical history as new areas of mathematics are developed in ...

  7. Talk:Collatz conjecture/Archive 3 - Wikipedia

    en.wikipedia.org/wiki/Talk:Collatz_conjecture/...

    How to proof the Collatz conjecture - an approach by reversing the sequences; Thanks for your help! Chears from Germany ... --Iovialis 20:39, 3 April 2022 (UTC) You can't use 3n-1.de as a source. It gives a unbelievably flawed elementery proof of Collatz conjecture. And its author is utterly clueless when it comes to advenced mathematics.

  8. Marijn Heule - Wikipedia

    en.wikipedia.org/wiki/Marijn_Heule

    The paper describing the proof was published in the SAT 2016 conference, [5] where it won the best paper award. [5] A $100 award that Ronald Graham originally offered for solving this problem in the 1980s was awarded to Heule. [3] He used SAT solving to prove that Schur number 5 was 160 in 2017. [4] [6] He proved Keller's conjecture in ...

  9. Talk:Collatz conjecture/Archive 2 - Wikipedia

    en.wikipedia.org/wiki/Talk:Collatz_conjecture/...

    Here is an article detailing a proof of the Collatz conjecture. Bruckman, P.S. "A proof of the Collatz conjecture". International Journal of Mathematical Education in Science and Technology. 39.3 (2008): 403-407. —Preceding unsigned comment added by 68.127.62.5 01:33, 16 January 2010 (UTC)