Question

Modifying the Collatz conjecture so that when $n$ is odd: $3n + x$

score 175 · Answer 1 · 2020-08-28 10:17:01

175

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Modifying the Collatz conjecture so that when $n$ is odd: $3n + x$

Published on 28 Aug 2020 - 10:17

score 290 · Answer 2 · 2020-08-31 19:12:19

290

Views

Is there a name for this prime sequence in the Collatz conjecture?

Published on 31 Aug 2020 - 19:12

score 227 · Answer 3 · 2020-09-02 13:59:08

227

Views

What is the quotient metric on this set of equivalent pairs drawn from $\Bbb Q$?

Published on 02 Sep 2020 - 13:59

score 144 · Answer 4 · 2026-03-25 07:44:57

Collatz Conjecture: Is there a straightforward argument showing that there are no nontrivial 2 "step" repeats (where each "step" is an odd number)

score 403 · Answer 5 · 2026-03-28 11:42:16

403

Views

Patterns in the Collatz conjecture

Published on 28 Mar 2026 - 11:42

score 111 · Answer 6 · 2020-09-08 22:08:04

111

Views

Citation request: we can skip 5 (mod 6) numbers while searching for a counter example of the Collatz Conjecture

Published on 08 Sep 2020 - 22:08

score 109 · Answer 7 · 2026-03-27 23:31:07

109

Views

Optimization problem for finding long trajectories in the 3n+1 problem

Published on 27 Mar 2026 - 23:31

score 111 · Answer 8 · 2026-02-23 19:22:15

111

Views

How close is "$Y$ is connected" to a $\Sigma^0_1$, or $\Pi^0_1$ sentence?

Published on 23 Feb 2026 - 19:22

score 70 · Answer 9 · 2020-09-13 02:05:56

70

Views

in regards to Collatz conjecture when $3x + n$ and $n = 3^a$

Published on 13 Sep 2020 - 2:05

score 207 · Answer 10 · 2020-09-18 04:55:38

207

Views

Generalized Collatz: divide out by $2$’s and $3$'s, otherwise $5n+1?$

Published on 18 Sep 2020 - 4:55

score 1.4k · Answer 11 · 2020-09-20 10:55:06

1.4k

Views

Generating (almost?) all odd numbers for the 3n + 1 problem

Published on 20 Sep 2020 - 10:55

score 229 · Answer 12 · 2020-09-27 00:00:11

229

Views

Collatz Conjecture: Checking my reasoning about the sum of the powers of $2$ if a cycle exists

Published on 27 Sep 2020 - 0:00

score 205 · Answer 13 · 2020-09-27 22:41:15

205

Views

Collatz Conjecture: Does this argument show if a non-trivial cycle exists, the sum of powers of $2$ must be minimal power of $2 > 3^n$?

Published on 27 Sep 2020 - 22:41

score 101 · Answer 14 · 2026-02-23 07:43:17

101

Views

When is $b^2 - \{b-1\}_2$ with odd $b$ a perfect power of $2$? (The bracket-notation explained below)

Published on 23 Feb 2026 - 7:43

score 342 · Answer 15 · 2020-10-10 23:50:49

342

Views

Collatz Conjecture: If a non-trivial cycle exists, would the sum of powers of $2$ be less than $2n$?

Published on 10 Oct 2020 - 23:50

List Question

Modifying the Collatz conjecture so that when $n$ is odd: $3n + x$

Is there a name for this prime sequence in the Collatz conjecture?

What is the quotient metric on this set of equivalent pairs drawn from $\Bbb Q$?

Collatz Conjecture: Is there a straightforward argument showing that there are no nontrivial 2 "step" repeats (where each "step" is an odd number)

Patterns in the Collatz conjecture

Citation request: we can skip 5 (mod 6) numbers while searching for a counter example of the Collatz Conjecture

Optimization problem for finding long trajectories in the 3n+1 problem

How close is "$Y$ is connected" to a $\Sigma^0_1$, or $\Pi^0_1$ sentence?

in regards to Collatz conjecture when $3x + n$ and $n = 3^a$

Generalized Collatz: divide out by $2$’s and $3$'s, otherwise $5n+1?$

Generating (almost?) all odd numbers for the 3n + 1 problem

Collatz Conjecture: Checking my reasoning about the sum of the powers of $2$ if a cycle exists

Collatz Conjecture: Does this argument show if a non-trivial cycle exists, the sum of powers of $2$ must be minimal power of $2 > 3^n$?

When is $b^2 - \{b-1\}_2$ with odd $b$ a perfect power of $2$? (The bracket-notation explained below)

Collatz Conjecture: If a non-trivial cycle exists, would the sum of powers of $2$ be less than $2n$?

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