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  • A Solution to the Collatz Conjecture Problem - Preprints
    Research Collatz odd sequence, change (×3 + 1) ÷ 2 k operation in Collatz Conjecture to (×3 + 2 m − 1) ÷ 2 k operation Expand loop Collatz odd sequence (if exists) in (×3 + 2 m − 1) ÷ 2 k odd sequence to become ∞-steps non-loop sequence Build a (×3 + 2 m − 1) ÷ 2k odd tree model and transform position model for odds in tree
  • A Solution to the Collatz Conjecture Problem - preprints. org
    Research Collatz odd sequence, change (×3 + 1) ÷ 2 k operation in Collatz Conjecture to (×3 + 2 m − 1) ÷ 2 k operation Expand loop Collatz odd sequence(if exists) in (×3 + 2 m − 1) ÷ 2 k odd sequence to become ∞ steps non-loop sequence Build (×3 + 2 m − 1) ÷ 2 k > odd tree model and transform position model for odds in tree Via comparing actual and virtual positions, prove if
  • A Solution of The Collatz Conjecture Problem - Preprints
    Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1) 2^k operation, and get a solution for this equation, which is exactly same with that got from calculating directly Then give a specific example to verify Thus prove the Collatz Conjecture is true Furthermore, analysis the even and odd
  • A Solution of The Collatz Conjecture Problem - Preprints
    Choose an area of interest and we will send you notifications of new preprints at your preferred frequency
  • A Solution of The Collatz Conjecture Problem - Preprints
    Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1) 2^k operation, change the operation to (*3+2^m-1) 2^k, and get a solution for this equation, give a specific example to verify Thus prove the Collatz Conjecture is true Furthermore, analysis the sequences produced by iteration calculation
  • 3UREOHP $6ROXWLRQWRWKH ROODW] RQMHFWXUH
    Baoyuan Duan Independent Researcher, Yanliang, Xian, China; duanby@163 com Abstract: Research Collatz odd sequence, change (×3 +1)÷2 k operation in Collatz Conjecture to
  • A Solution of The Collatz Conjecture Problem - Preprints
    Research Collatz odd sequence, change (×3 + 1) ÷ 2 k operation in Collatz Conjecture to (×3 + 2 m −1) ÷ 2 k operation Build (×3 + 2 m − 1) ÷ 2 k oddtree model and transform position model for odds in tree Via comparing actual and virtual positions, prove if a (×3+2 m −1) ÷2<sup>k< sup> odd sequence can not converge after infinite steps of (×3 + 2<sup>m< sup> − 1) ÷ 2<sup>k
  • A Solution of The Collatz Conjecture Problem - Preprints
    Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1) 2^k operation, change the operation to (*3+2^m-1) 2^k, and get a solution for this equation, which is exactly same with that got from calculating directly Then give a specific example to verify Thus prove the Collatz Conjecture is true
  • $6ROXWLRQRI7KH ROODW] RQMHFWXUH3UREOHP - Preprints
    Baoyuan Duan Yanliang, Xian, China;duanby@163 com Abstract: Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1) 2^k operation, and get a solution for this equation, which is





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