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Title | The 3n+1 |
Description | The 3n+1 Problem The 3 n +1 Problem © January 2020, Darrell Cox (A link to "Fermat’s Last Theorem and Related Problems" is at fermat and a link to "Fare |
Keywords | N/A |
WebSite | darrellcox.website |
Host IP | 162.213.255.53 |
Location | United States |
Site | Rank |
US$741,814
Last updated: 2023-05-13 15:22:34
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Purchase/Sale Value | US$741,814 |
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Yearly Ads Revenue | US$246,511 |
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darrellcox.website. | A | 1199 | IP: 162.213.255.53 |
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The 3n+1 Problem The 3 n +1 Problem © January 2020, Darrell Cox (A link to "Fermat’s Last Theorem and Related Problems" is at fermat and a link to "Farey Series and the Riemann Hypothesis" is at riemann . An article discussing generalized dead limbs is at deadlimb . Other links are given at the end of this article.) The 3 n+ 1 problem appears to have been first posed by Collatz in 1937. In this problem, a sequence is generated starting with an initial natural number n . The rule for generating the next natural number in the sequence is; if n is even, the next natural number in the sequence is n /2, or if n is odd, the next natural number in the sequence is 3 n +1. For example, if the initial value of n is 17, the sequence generated is {17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, ...}. If the natural number 4 is encountered in the sequence, the sequence starts repeating ({4, 2, 1} is generated over and over). There are three possibilities; (1) the natural number 4 is |
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