as ‘absolutely hopeless’ The great mathematician Paul Erdös called (1913-1996) A plan for a solution to the Collatz problem. The problem seems so simple in its basic assumptions that even elementary school children understand it. It starts with a sequence that you build according to these rules: take a number; If it is even, divide it by two; If it’s odd, multiply it by three and add one. Repeat it over and over again. For example, you can start with 19 and get: 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2 , 1, … or with twelve: 12, 6, 3, 10, 5, 16, 8, 4, 2, 1, … as soon as the sequence ends in sequence, it becomes cyclic, that is, it repeats itself, because according to For the following arithmetic rule: 1, 4, 2, 1, 4, 2, 1 and so on.

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