Collatz-finder.js
collatz
| Collatz-finder.js | collatz | |
|---|---|---|
| 1 | 2 | |
| 0 | 57 | |
| - | - | |
| 0.0 | 8.0 | |
| 9 months ago | about 2 months ago | |
| JavaScript | Shell | |
| The Unlicense | MIT License |
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Collatz-finder.js
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Is there a GIMPS for Collatz conjecture?
I want to contribute some computing power to the search for a Collatz counter-example, but I couldn't find any distributed computing project dedicated to that. That's why I'm developing a "serverless" website and a Rust CLI tool to check numbers against the Collatz algortihm. I don't have money nor the knowledge to build a reliable distributed network of PC/Human volunteers
collatz
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I have to brag to you: I gained computing resources on the third most powerful supercomputer in the world. The computing resources will be used for the computational verification of the Collatz problem.
The OP is aware of shortcuts. Read here: https://github.com/xbarin02/collatz/blob/master/doc/ALGORITHM.md OP is confirming that iterating on each starting integer (greater than 1) results in an integer less than the starting value. OP is using sieves to greatly reduce the fraction of starting values that need to be checked. OP is using a shortcut to increase speed: k2p-1 -> k3p-1 and a precomputed powers of 3 lookup table. There are theoretically better shortcuts but they may be slower in practice since they require large lookup tables that lead to cache misses which will slow things down.
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Collatz Conjecture Verified till 2^69
LINKS: You can track the progress here: collatz-problem.org You can check the path records here: collatz-problem.org/table You can check the source code here: https://github.com/xbarin02/collatz You can read the original paper here: https://rdcu.be/b5nn1
What are some alternatives?
EsoMath.js - Esoteric Mathematic Library for Javascript (past names: more-math-for-JS, mostly_math, NTML.js)
collatz_finder - Tries to find a counterexample to the Collatz Conjecture, in Rust
collatz-table
arb - Arb has been merged into FLINT -- use https://github.com/flintlib/flint/ instead
fxhash2 - Collatz Bezier Rainbow project for fxhash.xyz
C - Collection of various algorithms in mathematics, machine learning, computer science, physics, etc implemented in C for educational purposes.
MooseFS - MooseFS – Open Source, Petabyte, Fault-Tolerant, Highly Performing, Scalable Network Distributed File System (Software-Defined Storage)
SuiteSparse - The official SuiteSparse library: a suite of sparse matrix algorithms authored or co-authored by Tim Davis, Texas A&M University.