Limits RegistryPUBLIC RECORD
Limits RegistryMarijn Heule proved that the fifth Schur number is 160 using a parallel SAT solver, announced in 2017 and published at AAAI 2018. The proof certificate was about 2 petabytes, making it one of the largest proofs ever produced, and it was validated by a formally verified proof checker.
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Marijn Heule proved that the fifth Schur number is 160 using a parallel SAT solver, announced in 2017 and published at AAAI 2018. The proof certificate was about 2 petabytes, making it one of the largest proofs ever produced, and it was validated by a formally verified proof checker.
S(5) = 160: the set {1,...,160} can be partitioned into five sum-free sets, but {1,...,161} cannot.
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Permanent ID limitsregistry.com/limits/LR-SCHUR-NUMBER-FIVE
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Limits Registry. LR-SCHUR-NUMBER-FIVE. Schur number five determined (S(5) = 160). 2026.