Collatz conjecture

This project is searching for a counterexample to the Collatz conjecture.

In 1937 he posed the famous Collatz conjecture, which remains unsolved.

The Collatz conjecture in mathematics, also known as the "Syracuse problem"

Collatz conjecture - sequence of unarranged-digit numbers always ends with the number 1.

Lagarias has also done work on the Collatz conjecture and Li's criterion.

Other famous conjectures include the Collatz conjecture and the Riemann hypothesis.

If the Collatz conjecture is true, the program will always halt (stop) no matter what positive starting integer is given to it.

Distributed Computing project that verifies the Collatz conjecture for larger values.

The Collatz conjecture is a conjecture (an idea which many people think is likely) in mathematics.

The most familiar problem with an Erdős prize is likely the Collatz conjecture, also called the 3N + 1 problem.

The Collatz conjecture is: This process will eventually reach the number 1, regardless of which positive integer is chosen initially.

Iteration of apparently simple functions can produce complex behaviours and difficult problems - for examples, see the Collatz conjecture and juggler sequences.

See also the Collatz conjecture, which is an assertion about a surjective, but not injective residue class-wise affine mapping.

Paul Erdős said, allegedly, about the Collatz conjecture: "Mathematics is not yet ripe for such problems" and also offered $500 for its solution.

The Generalized Collatz Conjecture is the assertion that every integer, under iteration by f, eventually falls into one of these five cycles.

An ongoing distributed computing project by Eric Roosendaal verifies the Collatz conjecture for larger and larger values.

The Collatz Conjecture can be rephrased as stating that the Hailstone parity sequence for every number eventually enters the cycle 0 1 0.

The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937.

Juggler sequences therefore present a problem that is similar to the Collatz conjecture, about which Paul Erdős stated that "mathematics is not yet ready for such problems".

For instance, the Collatz conjecture, which concerns whether or not certain sequences of integers terminate, has been tested for all integers up to 1.2 x 10 (over a trillion).

Franzén also introduces a really fun unsolved problem, very easy to describe-even an elementary-algebra student in junior high could get the question: the Collatz conjecture (3n + 1 conjecture, Ulam's problem).

Another ongoing distributed computing project by Tomás Oliveira e Silva continues to verify the Collatz conjecture (with fewer statistics than Eric Roosendaal's page but with further progress made).

The Collatz conjecture equivalently states that this tag system, with an arbitrary finite string of as as the initial word, eventually halts (see Example: Computation of Collatz sequences for a worked example).

The Oproject has 9th place between all BOINC projects by the amount of new hosts after well-known WCG, SETI@Home, MilkyWay, Collatz conjecture, PrimeGrid projects.

Many abstract problems can be solved routinely, others have been solved with great effort, for some significant inroads have been made without having led yet to a full solution, and yet others have withstood all attempts, such as Goldbach's conjecture and the Collatz conjecture.