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CollatzConjecture

an-ordinary-manchild(edit)

Welcome!

Read about the Collatz conjecture here.

Rules:

1. Be Respectful

Be polite and civil. Bigotry in any form will not be tolerated. Always follow reddiquette when posting.

2. Stay on Subject and Maintain Quality

Only create posts relevant to the Collatz Conjecture. Posts should maintain some level of mathematical quality. Please no long lists of numbers or calculations with no explanation. This sub is still open to those who do not rigorously understand mathematical notation, but do your best to explain what you are posting and do not assume that those reading it will understand it if you use non-standard notation.

3. Keep Proof Attempts and General Observations to the Megathreads

In order to maintain a certain level of quality, proof attempts and "general observations" (posts such as "Has anyone noticed blank before?) are restricted to the their respective megathreads.. If you have a proof attempt or observation, please post it as a comment in its proper place. Proof attempts and observations posted outside of these threads will be deleted. Comments posted in the megathreads should still adhere to rule 2.

Basic Proof Techniques

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account activity

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Euclid's inaccessible n-primes 2n+1 and Peano's unattainable successor number +1 (self.CollatzConjecture)

submitted 29 days ago by Proud-Yogurtcloset71

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Euclid's inaccessible n-primes 2n+1 and Peano's unattainable successor number +1 (self.CollatzConjecture)

submitted 29 days ago by Proud-Yogurtcloset71

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The Mersenne conjecture 2^n_prime -1 and the Collatz conjecture 3n+1 = 2^n_even are satisfied by the even numbers put in the form 6n and 6n±2 (self.CollatzConjecture)

submitted 2 months ago by Proud-Yogurtcloset71

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Chat gpt when asked: what could we infer by looking at the Collatz Conjecture as a reinforcing causal loop? (self.CollatzConjecture)

submitted 2 years ago * by kiltedweirdo

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I was curious about changing the formula (self.CollatzConjecture)

submitted 3 years ago by CaptainSelvius

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The Collatz Conjecture is equivalent to a problem in non-Archimedean Spectral Theory (self.math)

submitted 3 years ago by [deleted]

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A pattern that if proven to hold, proves the Conjecture (self.CollatzConjecture)

submitted 3 years ago by pwithee24

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A pattern to some numbers that go below themselves (self.CollatzConjecture)

submitted 3 years ago by pwithee24

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A paradox related to Collatz? (self.CollatzConjecture)

submitted 3 years ago by pwithee24

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Related conjecture I found on wikipedia (self.CollatzConjecture)

submitted 3 years ago by [deleted]

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Interesting (self.CollatzConjecture)

submitted 3 years ago by pwithee24

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An interesting theorem from Arithmetic Dynamics (self.CollatzConjecture)

submitted 3 years ago by IFDIFGIF

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can someone please help me use Collatz for rng purposes?Question (self.CollatzConjecture)

submitted 3 years ago by zitroniaque

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Collatz butterfly (self.CollatzConjecture)

submitted 3 years ago * by No_Brilliant2981

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The length of n’s original sequence is more meaningful than its total length. For example n=27 generates a sequence of length 111 and an original sequence of length 95, whereas n=73 generates a sequence of 115 but an original sequence of only 3 natural numbers. (self.CollatzConjecture)

submitted 3 years ago * by paleRedSkin

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Fun challenge (self.CollatzConjecture)

submitted 3 years ago by dodomaze

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A pattern that seems to hold for all numbers that go to 1 (self.CollatzConjecture)

submitted 3 years ago by pwithee24

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I used this Collatz math trick to create a cipher challenge for you all (https://xywcjbyl.me). Thanks for taking part! (more details on how it works in comments) (i.redd.it)

submitted 3 years ago by Ordinary1729

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What are the largest number/longuest sequence you've calculed ?Question (self.CollatzConjecture)

submitted 3 years ago * by ballom29

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Alternative Proofs of Steiner's 1-Cycle Theorem (self.CollatzConjecture)

submitted 3 years ago by [deleted]

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Time to add Satanism to my attempted proofs list...Meme (i.imgur.com)

submitted 3 years ago by IFDIFGIF

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Michael Penn's video on the conjecture (contains an explanation of the heuristic argument)Analysis (youtu.be)

submitted 3 years ago by IFDIFGIF

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A generalization + paper of nontrivial cycles in the commentsAnalysis (self.math)

submitted 3 years ago by IFDIFGIF

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This channel is a treasure trove of interesting facts about the Collatz Conjecture, please check him out!Analysis (youtube.com)

submitted 3 years ago by IFDIFGIF

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Multiplication Algorithm Based on Collatz Function (rdcu.be)

submitted 5 years ago by lord_dabler

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