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Elementary proof of 2^n > 2^(n-k) (3^k - 2^k) / (2^n - 3^k) provided 2^n > 3^k
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15
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129
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August 26, 2025
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Proving Collatz is "Baker-Hard" (third try)
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11
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161
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August 25, 2025
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My journey with collatz
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4
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116
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August 24, 2025
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Which Collatz cycle shapes correspond to integer cycles?
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9
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200
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August 21, 2025
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Two cycles with the same sum-of-members
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0
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34
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August 17, 2025
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Finding a specific irrational number
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22
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159
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August 15, 2025
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Same underlying problem?
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3
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63
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August 11, 2025
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5-type, or 16-type?
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21
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136
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August 10, 2025
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Proving no cycles is "Baker-hard"
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4
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90
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August 10, 2025
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A conversation with grok
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1
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36
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August 9, 2025
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How many numbers between 1 and x appear in the Collatz tree?
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3
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56
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August 8, 2025
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Categorization of collatz numbers into 8 classes
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7
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164
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August 6, 2025
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Elementary proof of x < 2^n in a cycle of size n
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13
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158
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August 6, 2025
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Simulation of collatz tapes by k-state 2-symbol Turing Machines
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0
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37
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August 5, 2025
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Admin: markdown preview when editing
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0
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23
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August 1, 2025
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Graph of valued paths
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17
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113
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July 23, 2025
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Long runs and macro sequence behavior
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3
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51
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July 16, 2025
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Irreducible parity vectors
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3
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44
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July 12, 2025
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Is 5n+1 a Computer?
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0
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41
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July 8, 2025
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Proving Collatz is "Baker-Hard" (self-contained)
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22
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178
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July 4, 2025
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Questions about initial trajectories
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3
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122
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July 1, 2025
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An intuitive (read: incredibly non-rigorous) argument for why 2^k-3^x >> x
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4
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48
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June 30, 2025
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Similar problems where it is easy to tell how trajectories will look like
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1
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58
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June 3, 2025
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Parity sequences and cycles
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24
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182
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June 17, 2025
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Solvable Collatz-like problem
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8
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122
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June 13, 2025
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Engineered or discovered start numbers?
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12
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88
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June 4, 2025
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Probability of falling down after n steps for a random number
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16
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119
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May 31, 2025
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Busy Beaver and Collatz
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9
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302
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May 29, 2025
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Unicity of trajectory
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9
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103
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May 29, 2025
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Are There Structural Symmetries Between Collatz-Type Loops? (5n+1 Examples)
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3
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71
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May 28, 2025
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