- Section 1: Classifying odd numbers into three groups: B, C, and D
- Section 2: Proving the absence of loops (except the loop of 1 with itself)
- Section 3: Applying the conjecture to the three groups B, C, and D
- Section 4: Studying the behavior of the group V = 5 + 12n
- Section 5: Proving that all numbers satisfy the statement of the Collatz Conjecture
The dentist who defeated the mathematicians
the final proof of Collatz conjecture
This small book is the result of the effort of a dentist with no formal background in mathematics.
It proves that simple mathematical thinking can overcome even the most stubborn problems ( #Collatz Conjecture) that have long troubled the mathematical community, despite their apparent simplicity.
He did not read any references or previous attempts to solve it.
Relying only on his basic understanding of mathematical principles, he built the proof from scratch.
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This book presents a smooth, simple, gradual, and conclusive proof of the validity of the Collatz Conjecture.
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Khalid Alibraheem
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