Tomás Oliveira e Silva, Siegfried Herzog and Silvio Pardi verified that every even number up to 4x10^18 is a sum of two primes, published in Mathematics of Computation in 2014. The strong (binary) Goldbach conjecture remains unproven in general.
The question, scope, and sources behind this Registry record.
Tomás Oliveira e Silva, Siegfried Herzog and Silvio Pardi verified that every even number up to 4x10^18 is a sum of two primes, published in Mathematics of Computation in 2014. The strong (binary) Goldbach conjecture remains unproven in general.
The largest N such that every even integer 4 ≤ n ≤ N has been verified by computation to be a sum of two primes.
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Current frontiers derived from accepted Claims.
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The frontier as it changed over time.
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1 accepted Claim, with 1 linked evidence records.
Permanent ID limitsregistry.com/limits/LR-GOLDBACH-VERIFICATION-BOUND
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Limits Registry. LR-GOLDBACH-VERIFICATION-BOUND. Largest bound to which the strong Goldbach conjecture has been verified. 2026.