Collatz conjecture(3X+1)There is a hidden theorem ω1: If α Establishment, necessity (3α+ 1) Established

doi:10.21203/rs.3.rs-952109/v1

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Collatz conjecture(3X+1)There is a hidden theorem ω₁: If α Establishment, necessity (3α+ 1) Established

https://doi.org/10.21203/rs.3.rs-952109/v1

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From a number theory “Collatz conjecture (3X+1)”, Human beings use a large amount of computer data, so far no counterexample has been found. Does mathematical logic support " Collatz conjecture (3X+1)?

Collatz conjecture (3X+1) There is a hidden theorem ω₁: If x holds, it must be (3X+1).

In reality, human beings will only (3X+1) deduce that x holds.

Example: an integer a, and a = 3b +1, b∈N. If b→3x +1 holds. There must be: a→3x +1 is established.

In this way, there is no need to deduce (3b + 1).

Pure Mathematics

Algebra

Computational Mathematics

Recursive reduction

Mathematical complete induction

Extreme law

(3x + 1) simplified

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Collatz conjecture(3X+1)There is a hidden theorem ω₁: If α Establishment, necessity (3α+ 1) Established

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