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Concept information

mathematical analysis > calculus > sequence > integer sequence > Collatz conjecture

Terme préférentiel

Collatz conjecture  

Définition

  • The Collatz conjecture 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. It concerns sequences of integers in which each term is obtained from the previous term as follows : if the previous term is even, the next term is one half of the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1. The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Collatz_conjecture)

Concept générique

Synonyme(s)

  • 3n + 1 problem
  • 3x + 1 problem
  • hailstone sequence
  • Hasse's algorithm
  • Kakutani's problem
  • Syracuse problem
  • Thwaites conjecture
  • Ulam conjecture

Traductions

  • suite de Syracuse

    français

  • conjecture d'Ulam
  • conjecture de Collatz
  • conjecture de Syracuse
  • conjecture tchèque
  • problème 3n + 1
  • problème 3x + 1
  • suite de Collatz

URI

http://data.loterre.fr/ark:/67375/PSR-KZG2ZJTC-Z

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