My poor #cpu.
I've spent the #morning on #coding and #implementing a #math problem that tries to find #candidates that break #collatzconjecture ... If you are thinking about this problem, go and touch grass and do something way more #productive with your time.

#mathproblem #stupidmathproblem #why

Observation on the #CollatzConjecture

All numbers can be mapped to a lower number and the pathways leading away from 1 are the same between the higher and lower numbers, provided the mapping involves multiples of 3.

For example: 3x+2:

2 -> 4 -> 1
5-> 10 -> 3
8 -> 16 -> 5

2nd Example: 9x+4

4 -> 8 -> 16 -> 5 -> 10 -> 3
13 -> 26 -> 52 -> 17 -> 34 -> 11
22 -> 44 -> 88 -> 29 -> 58 -> 19

Increase multiple of 3 for larger map correlation.

Conclusion: all paths of Collatz are predictable.

[Matt Parker] on the completion of The Great Collatz Collab in which hundreds of schools picked 3 digit numbers to test the Collatz Conjecture, which were then collated into a single large map
https://youtu.be/lnpFqdQJAFA

The project resources including downloadable map:
https://think-maths.co.uk/collatz-collab

#youtube #CollatzConjecture #Collatz #maths #mathematics #STEM #mathstodon #mastomaths #math