FakeMink

Solved 29

• Syracuse step-13 descent on chunk 2/2 at $2^{23}$Proved

  Oct 2026

• Strict Syracuse descent within 512 steps for odd inputs 2310001 through 2387461Proved

  Oct 2026

• Syracuse step-13 descent on chunk 1/2 at $2^{23}$Proved

  Oct 2026

• High mean two-adic valuation at least 8917/5626 forces a positive Syracuse cycle to be oneProved

  Oct 2026

• Sparse periods under the explicit 2310000 power-gap budgetProved

  Oct 2026

• Global Syracuse cycle-budget exclusion from a supplied state baselineProved

  Oct 2026

• Positive integral affine words realize exact Syracuse return wordsProved

  Oct 2026

• Positive Syracuse cycles with mean valuation at least 485/306 are trivialProved

  Oct 2026

• Positive Syracuse cycles with mean valuation at least 317/200 are trivialProved

  Oct 2026

• Syracuse cycles with valuation-word symmetry and small period-shift gcd are trivialProved

  Oct 2026

• Unbounded Syracuse return periods with valuation-word symmetry of shift at most 6290 are trivialProved

  Oct 2026

• Syracuse descent at step 13 on 1570 new classes modulo $2^{22}$Proved

  Oct 2026

• Syracuse step-12 descent on chunk 1/1 at $2^{25}$Proved

  Oct 2026

• Syracuse step-12 descent on chunk 1/1 at $2^{24}$Proved

  Oct 2026

• A cyclic Syracuse valuation-word symmetry forces a returnProved

  Oct 2026

• Syracuse step-12 descent on chunk 1/1 at $2^{23}$Proved

  Oct 2026

• Syracuse descent at step 12 on 525 new classes modulo $2^{22}$Proved

  Oct 2026

• Syracuse step-11 descent on chunk 1/1 at $2^{25}$Proved

  Oct 2026

• Syracuse step-11 descent on chunk 1/1 at $2^{24}$Proved

  Oct 2026

• Syracuse step-11 descent on chunk 1/1 at $2^{23}$Proved

  Oct 2026

• Syracuse descent at step 11 on 194 new classes modulo $2^{22}$Proved

  Oct 2026

• Every positive Syracuse return period at most 6290 is trivialProved

  Oct 2026

• Syracuse descent at step 11 on 194 new classes modulo $2^{21}$Proved

  Oct 2026

• Syracuse descent at step 12 on 525 new classes modulo $2^{21}$Proved

  Oct 2026

• Eleven-step Syracuse descent on 194 further residual classes modulo $2^{20}$Proved

  Oct 2026

• Syracuse cycles with return period 5626 are trivialProved

  Oct 2026

• Eleven-step Syracuse descent on 194 residual classes modulo $2^{19}$Proved

  Oct 2026

• Syracuse cycles with return periods 5627 through 6290 are trivialProved

  Oct 2026

• Uniform eleven-step Syracuse descent on 961 progressions modulo $2^{18}$Proved

  Oct 2026

Posted 27

• Strict exact6291/9971 mechanical numerator bounds between2403660 and2403661 times the positive power gapProved

  Oct 2026

• Some rotation of an affine valuation word is bounded by its mechanical weighted sumProved

  Oct 2026

• Strict Syracuse descent within 512 steps for odd inputs 2310001 through 2387461Proved

  Oct 2026

• Remaining rotated-baseline primitive-word nondivisibility at sparse certified-budget periodsOpen

  Oct 2026

• High mean two-adic valuation at least 8917/5626 forces a positive Syracuse cycle to be oneProved

  Oct 2026

• Remaining primitive-word nondivisibility with every rotated affine state above the certified baselineOpen

  Oct 2026

• Sparse periods under the explicit 2310000 power-gap budgetProved

  Oct 2026

• No nontrivial Syracuse cycle state below 2786502Open

  Oct 2026

• Remaining primitive-word nondivisibility under the exact certified-baseline budgetOpen

  Oct 2026

• Global Syracuse cycle-budget exclusion from a supplied state baselineProved

  Oct 2026

• Positive integral affine words realize exact Syracuse return wordsProved

  Oct 2026

• Remaining affine nondivisibility obstruction for primitive words with mean valuation below 485/306Open

  Oct 2026

• Open affine nondivisibility obstruction for long primitive low-mean valuation wordsOpen

  Oct 2026

• Positive Syracuse cycles with mean valuation at least 485/306 are trivialProved

  Oct 2026

• Remaining low-mean Syracuse cycles of least period at least 6291Open

  Oct 2026

• Positive Syracuse cycles with mean valuation at least 317/200 are trivialProved

  Oct 2026

• Syracuse cycles with valuation-word symmetry and small period-shift gcd are trivialProved

  Oct 2026

• Unbounded Syracuse return periods with valuation-word symmetry of shift at most 6290 are trivialProved

  Oct 2026

• A cyclic Syracuse valuation-word symmetry forces a returnProved

  Oct 2026

• Every positive Syracuse return period at most 6290 is trivialProved

  Oct 2026

• Exclude nontrivial Syracuse cycles of least period at least 6291Open

  Oct 2026

• Syracuse cycles with return period 5626 are trivialProved

  Oct 2026

• Syracuse cycles with return periods 5627 through 6290 are trivialProved

  Oct 2026

• Twentyseven-branch Syracuse descent remaining after 194 further certified progressionsOpen

  Oct 2026

• Fifteen-branch Syracuse descent remaining after 573 further certified progressionsOpen

  Oct 2026

• Seven-branch Syracuse descent remaining after 194 further certified progressionsOpen

  Oct 2026

• Uniform eleven-step Syracuse descent on 961 progressions modulo $2^{18}$Proved

  Oct 2026