The next graph shows the quality of the current 160 unbeaten ABC triples (a,b,c) plotted against log log c. Every triple I know with c in the range of the graph is in the colored area, and the rectangle it lies in indicates the smallest triple on the unbeaten list that beats it. The dashed lines show where triples of merit 30 and 48 would be. You can zoom in on the PDF version


160 unbeaten triples:last update: 2019-06-17

qualitysizemeritbyona bc
11.62996.818.64ER198701012310​109235
21.62607.6810.18BdW1985092011232​56​73221​23
31.623515.7026.86JB JB1994040119·​13077·​292​31828​322​54
41.544420.7931.54AN1993031272​412​31131116​132​792·​33​523​953
51.480526.3635.16FR20101107522​79·​4594932​1318​613223​174​2512​17333
61.460627.7835.12IC201006127·​167·​8114​91934​132​2312​674231​53​112​175​1074
71.450228.1434.40IC20080509238​374228​37​114​193​61·​127·​1732518​174​432​48172
81.420629.8133.15FR20170515313​375​44939255​723​19·​463·​863220​538​61·​1134
91.399635.5137.95RB2012053133​19·​115273210​312​3711​BIG734​174​71
101.367836.9534.76JW20090421372​533​41777·​111323337​11·​132​734​1394263​57​76​2832​1307
111.361839.7236.99FR20150730434​6116​881231​310​17·​313​1914​577·​105231913531​74​116​133​3492
121.341544.5338.67RB2011102825434​182587·​2802983·​85813163215​377​11·​173556​245983
131.318447.1736.83AB2019061752​678​3132​101343·​76​135​2910​31·​473​79·​283·​541·​2087·​3278326​1124​172​198​834
141.279754.6735.32JW2009042174​BIG249​55​134​1573​10396​43912362​1111​292​616
151.259555.1631.32JW20090420BIG25​384​198​472519​722​233​715​20633
161.243955.5828.36VS2019021078​BIG241​36​139​675​718​1373511​1710​312​37·​5318
171.242562.8432.59AB2019061433​76​13·​4392238​5·​115​195​4115​67·​36353·​33625412329·​3723​4912​1021·​11519·​1057223·​6856051
181.217568.9430.03JW20090421433​BIG260​117​1326​2910338​57​476​1317​10096​1091
191.200970.3926.73JW200904222232​8112​BIG320​172​1920​1397​9296223​557​75​11·​1978
201.195076.3827.93JW2009042132​BIG256​1323​172​195​4112​793526​5911​678​27897
211.189678.1927.30FR201306197111​12312​BIG514​736​13·​193​317​4114234​326​2318​4319
221.176480.4924.81JW20090424BIG716​1143​5938218​352​133​237​737​1132​1515​12973
231.170883.0924.30JW20090421193​BIG320​721​1133​138​435​1512242​521​179​316​413​19112​3449
241.166393.0126.46AB201906141916​71272​16473792​92736592​3646576272221​546​133​593​3132​BIG32​714​538​35926
251.1501110.4626.91JW20090420212​412​BIG512​77​1120​132​1721​3125​3134364​236​5316​595​1016​13111
261.1306117.4522.36JW200904211792​BIG33​591​78​3114​1318​173·​6312271​1145​1740
271.1272133.3824.73JW20090415792​BIG312​552​1111​1716​6718​8914230​744​1325​1919​292​314​1072​2839
281.1223145.6125.46JW20090420BIG2200​345​1141​1314​6592517​196​2932​373​617​23322​3114
291.1138148.3922.74JW20090420BIG317​1122​373​4122​11321​2549102157​561​1722​2311​2237
301.1095153.3321.97JW20090420832​BIG325​716​1143​137​2922​1276​15114282​57​1928​4118​6133
311.1072162.5522.63JW200904174672​BIG517​2915​5912​9744​1495​167·​2113284​363​749​119​135​178​195​237​4715
321.1005171.1421.27JW200904201673​BIG351​512​730​11·​23·​4332​1313​1789162139​1316​1716​4720​72710​20119
331.0964171.7819.72JW20090415372​BIG255​582​17·​239​4337​533​978​82134​713​118​138​192​295​3113​4114​4743​1635​1913
341.0960181.2220.84JW20090418BIG263​336​1118​1716​7925​49122553​712​199​3111​3712​595​8910​1995​43318
351.0916181.9819.18FR20130406553​7·​1111​1914​2346​476​7911​83513718​BIG2·​325​1328​2928​378​4323​6710​8915
361.0915189.6820.07JW20090417BIG291​354​1965​233​319​372​5319568​76​1139​2923​71·​3734​45714​4915
371.0900200.1720.70JW2009042054​BIG214​1319​418​6756​6912137​724​113​1738​2320​2926​8332
381.0883252.7226.21JW20090415BIG368​572​711​1131​198​2921​3726​12717​1515213​1310​237​3140​4711​42149​4878
391.0799268.0623.18JW2009041816092​BIG310​1123​1348​1775​23·​476​79·​109·​2276​367252265​533​726​1911​2919​3143​7320
401.0722292.7721.10JW20090414BIG132​179​1919​319​4151​10728​27720​49120256​3116​550​710​11·​2332​292​3756​4725
411.0715295.5220.93JW20090417311​BIG579​1141​1715​2957​3717​61·​10732​2572259​796​1318​1960​2313​535​4635
421.0699307.3521.01JW200904171513​BIG227​1120​1377​1767​1918​232​438​473​34925​607357​5142​721​3793​139·​3376
431.0668337.2221.43JW20090414215​3832​BIG343​532​1195​2334​294​3121​4330​41924759​137​17124​1923​4115​4723​536​4396​8093
441.0616342.5318.66JW2009041436​4992​BIG2309​1167​1966​4110​4341​2815516​728​1327​1776​232​2962​31·​3721​713​1938​31313
451.0588357.8417.91JW20090414BIG515​1311​1922​2323​2927​4312​6755​10957212​3158​72​1134​1747​3742​4111​536​5922​615​2112​31315
461.0586372.4718.62JW20090414BIG2115​535​1143​1749​2321​2935​317​372​4317​4718​15726321​734​1389​1972​4118​7320​34730
471.0566374.2317.54JW20090414BIG319​7136​137​1935​3142​4113​15733​93714265​5170​1110​2334​375​4768​5328​2114
481.0553387.9117.45FR201302048920​BIG3109​2312​2917​318​3738​4131​4759​73402316​560​757​1142​1343​4319​5326​7119
491.0543393.7917.12JW20090414BIG224​1113​17164​198​2342​3727​4321​836​897​101317​550​765​134​3164​4124​5381​613​2715
501.0534411.1217.43JW20090414114​BIG2247​550​135​172​2376​375​4315​5945​7342342​741​1947​29156​4139​472​89
511.0525456.9719.06JW20090417BIG231​72​13103​1735​193​2310​4160​6745​7117​27110​991123238​5198​115​3145​4326​474​536​6141
521.0480457.1015.99JW20090414BIG2188​327​7170​1330​3131​4324​6755​791352​1197​1959​2916​3735​4173​5310​6129​2336
531.0473500.4317.22JW20090415BIG3200​737​1384​2323​3714​4338​477​594​6110​7330​7922​837​27772267​113​178​1930​2922​3166​4145​5332​6713​8942​2392
541.0452508.4416.04JW2009041410912​BIG743​1918​2314​31·​4166​4725​5371​5963​373182176​3338​5137​1110​1327​1766​3736​3135​3973
551.0445517.0815.88BdS20090311BIG27​715​1134​13200​2321​4132​4755​6735​1014345​581​1727​1939​2923​31·​3755​5313​6127​796​83·​9714​10361
561.0438567.3217.13JW20090415BIG2348​5199​1370​2328​2961​41·​5320​1815​33728367​713​1163​1934​3110​372​4764​672​71117​737​7930
571.0437571.0517.20JW20090311BIG3112​786​1143​2355​3713​4158​4729​532​6143​894​10310​12726238​562​1311​1717​193​2920​31102​4337​59·​7118​7949​8357
581.0413590.1115.96BdS20090311BIG2161​719​1311​1934​2930​315​4123​47103​5974​101393142​5236​1155​172​2342​5329​673​712​7381​7916
591.0409668.8418.06JW20090415BIG3300​1368​2948​31164​377​5333​5925​83122124​5137​756​1133​1752​19183​2310​6117​7110​7323​10711​23312
601.0395677.1117.09JW20090417BIG2100​7144​1961​376​439​4722​7161​8967​10338​19711​373163205​545​11109​1343​235​2942​3110​4139​5912​612​7324​7987​833
611.0387680.9616.54JW20090417BIG1786​236​2973​3141​4313​5932​61128​7143​73725​329​5128​79​1130​3725​41206​4747​532​677​832​1633​3533​44320
621.0380693.3116.31JW200904173133​BIG238​3247​5111​195​2361​2910​3183​3716​4712​7152​48739​12134777​1177​1346​1779​4110​4369​53124​5912​6120
631.0361713.7215.24JW20090417BIG3260​749​1371​23160​2939​378​4347​5925​6121​1514​25762538​5161​11257​178​1912​3113​4731​538​833​9728
641.0359726.9415.42JW200904175872​BIG2433​5121​139​178​2343​3149​47133​59783341​760​114​1927​2945​3725​4354​7129​1097​137100
651.0353757.0315.56JW20090417BIG278​329​37130​4125​438​478​5342​79173​10320​1074757​11108​1391​1920​2362​29·​3127​618​712​7322​8345​8956​978​26930
661.0350767.2715.55JW20090415BIG2641​7159​1724​2343​3725​41120​475​5924​6136​73·​1313175​5265​1122​1316​1935​312​4315​6769​7177​15727​2839​35314
671.0343792.7415.54JW20090312BIG3291​13133​175​1975​29128​4350​5319​10131​10914​19152296​510​776​1149​2362​3758​478​5952​618​6713​7114​7328​7916​1037​11338​13729
681.0329812.3214.71JW20090415BIG31121​3711​41134​4351​4731​5910​7167​7327​109352207​34​532​735​11186​1331​19137​2330​299​5350​6115​17329​27125
691.0329818.3014.80JW20090417BIG11146​1366​2911​3171​3726​5952​6119​672​71104​7916​8915​257202168​3110​5190​711​1757​1955​2332​4157​4382​4714​539​735​1139​31313​46724
701.0325829.0314.66JW200904151072​BIG3131​1778​23154​2925​3112​3719​4159​53100​5910​73492154​5231​758​1360​1933​4341​6113​6721​7169​7926​15726​16315​49125
711.0323860.8315.19JW20090415BIG2247​1370​1941​2310​37·​4161​4323​4722​5952​6740​7965​837​1039​28345​33115363​570​727​118​1746​29114​3174​6115​7112​7397​9764​10130
721.0321880.3215.35JW20090417112​BIG2120​567​733​138​2361​2944​3127​3755​4141​4357​5320​617​678​7389​66112​75123392​17147​4754​5972​71195​8340
731.0305889.4114.05JW2009041758​BIG252​329​1382​19113​2383​31134​4786​5323​5916​8951711​11134​1718​2947​4146​43101​6146​6738​73139
741.0304980.9415.59JW20090415BIG256​3200​595​724​1325​2317​3159​3749​4328​5965​7133​798​8382​12755​271231157​17212​1938​2970​4171​4732​5343​613​97132
751.0285988.6613.83JW20090312BIG259​1173​1318​1971​3112​3768​47109​5333​6186​6731​7149​733​7918​8325​131153214​560​784​2398​29116​4191​4360​597​8941​11365
761.02791117.9915.30JW200904172392​BIG2421​756​1313​2935​37122​4151​4743​6718​7131​8944​9799​10135​17925​2511438​520​1177​1748​1953​3129​439​5314​596​7365​79161​8358​10391​2412​37329
771.02691179.9215.13JW20090417BIG3347​578​7226​1112​1392​1990​4112​4747​5313​59112​892​35319​5636129​1769​29197​31215​3728​4366​619​6760​7319​7926​24151
781.02611206.1514.58JW20090417BIG5102​716​11110​1316​1774​1950​2319​2961​3138​4315​5942​675​7185​8323​10138​10956​379632693​3122​375​4138​4746​53107​6164​7311​7941​103104​14986
791.02561217.4314.19BdS20090311BIG2117​3194​1170​1375​1963​3112​6135​7167​7319​8372​8959​978​11312​127117​13118​1492​151145237​713​1718​2993​378​4122​4360​47106​5377​5945​10313​1099​13995​15745
801.02551222.2114.18JW20090415BIG2232​5162​1744​1994​29240​433​59131​6120​7157​733​8316​89513318​7249​1186​13184​2310​3174​3774​417​472​5347​675​1374​13999
811.02441275.5713.62JW20090415BIG2152​3410​5218​11258​1335​1769​2953​4117​4732​5950​7132​8318​8939​1033672​2367​3148​3788​4335​6778​73145​9720​10171​26368​38944​46716
821.02441315.2314.07JW200904171132​BIG5132​795​2983​3135​37131​6754​7325​83103​8938​19142​27747​467512222​3286​1135​13113​1742​19189​2339​4732​5320​5987​6171​7121​79103
831.02401361.3514.11FR201402072354​3469​52​748​1790​2372​29116​4332​4749​5390​8397​971641926​BIG11230​1329​197​414​61195​6763​7135​73141​89136​1074​1095
841.02311457.7714.22FR20120414592​BIG2216​745​1788​31121​4346​47178​6733​7167​7327​977​10312​1511933246​529​1112​13103​1946​296​37228​41179​5377​6169​7924​8948​1078​11333
851.02151466.9212.44FR201312193934​5107​786​1177​19·​37107​4111​4318​4732​5321​6739​7138​7397​103791273​18130​BIG21538​1345​1787​23167​2921​3110​6130​834​8918​97223​1016​10711
861.02151480.9412.51FR20120223563​784​1725​1973​2357​2920​3143​3785​413​4313​5359​73132​8362​10322​107712211​3172​BIG3278​11235​13347​4711​61104​7113​79132​97120
871.02121511.8812.44JW20090417BIG2130​3230​5103​23175​4119​43139​4791​5916​6136​6742​79167​10735​23936742​1197​13160​1749​19107​2961​3115​37·​5384​7114​73136​8988​9751​10112​21134​25736
881.02101565.3212.74JW20090417BIG2294​3843​1126​13105​2366​3121​41129​7387​7973​8361​10119​10353​10717​1512586​755​17161​19312​2925​3781​4310​4742​59127​6716​8924​9728​11352​26961
891.02091677.3413.64FR20120626BIG5179​7152​1138​1996​3715​41133​5955​6710​73102​7924​8919​10384​10738​15785​167912326​3158​1352​17142​23157​292​3173​4743​5338​613​71101​833​101126​11319​131114​13936
901.02031685.0312.93JW20090417BIG2129​5148​1769​3180​3762​418​47116​53229​61138​6724​8959​19373​31727341​7536​1132​13111​1981​2337​29322​715​73128​7975​10720
911.02001795.3413.50FR201403053497​760​1136​315​59183​6781​7927​8324​895​9724​10737​113·​131109​13763​139912277​BIG5131​13250​172​19·​2315​3754​43132​4768​5371​7121​73361​10327​109·​12746
921.01901798.1212.20JW20090417BIG1323​1721​197​29157​3743​59297​73163​7942​10141​103145​10749​25724250​324​583​79​11245​2318​3142​41134​43200​4722​6169​6796​7139​83107​8927​9742​37328
931.01901805.0212.19FR201401153224​13119​1771​19126​2344​43102​5320​5978​6143​67161​7355​83123​1014​1077715733​70692​BIG2312​5180​7587​11141​29233​3191​3754​4190​4733​7129​896​9712​10945
941.01881836.5212.17JW20090312BIG3512​574​7420​1716​2328​3182​4396​5987​673​7187​8316​10174​103117​11324​197282816​11525​13101​19112​29164​3741​4710​616​7951​8982​9716​10783
951.01851872.1612.15FR201401242811​756​1346​23195​29183​3162​3746​4169​4713​7357​89229​10319​1091722732​BIG333​548​1198​17196​193​4390​5990​6753​7139​7914​83304​10148​107145
961.01841947.5812.57BdS2009031172​BIG2909​3256​1193​1368​1767​19123​2945​414​4347​4731​5351​5945​6168​73·​893​9769​1318​14943​15118152​31114​67103​715​79209​8324​101169​10340​109140​1132​12758​137143
971.01802000.7512.39JW20090312BIG2204​3156​726​13106​17133​29216​31169​37198​5967​7129​89153​10718​15780561​11226​1992​23106​41106​4328​4741​6196​6720​7383​8378​97224​10174​10913​19319
981.01792015.7812.31JW20090312BIG2349​3388​1153​31144​37168​4111​4322​4745​532​59259​6197​7317​8384​10129​137·​13957​15724763​1387​1730​19167​23218​6715​79132​972​103125​10743​1097​11352​12735​13132​149103​15131​16365
991.01772044.1412.19FR20180526BIG2295​1126​1993​2339​29195​4144​4342​7361​8397​101127​10770​10941​13124​13949​1493​16330​16737​19337​19768328​564​763​1376​17194​3115​47168​53153​6146​6758​7945​895​9716​11337​12747​1373​15773​18199​19151​19920
1001.01762083.5712.35JW20090417BIG3303​11306​1757​29257​37169​4163​437​67134​71112​10967​49977256​584​7269​1332​19282​2374​31121​4749​5977​6124​73124​8311​897​9754​10152​10725​113144​1978
1011.01742291.7713.46JW20090312BIG7126​13105​17109​1936​2954​31167​37496​5333​5966​6155​10355​10730​1131652399​315​5161​11231​23137​412​43313​4715​6775​73110​838​899​10143​149221​19363
1021.01632369.7212.26FR20180511BIG2707​719​1128​1739​2326​4332​4769​715​8387​9769​101125​10726​10928​113110​139158​149126​163126​181313527​561​13101​19188​299​31224​3778​4139​53112​59131​6729​7365​895​10326​1272​1314​151191​15713​17332
1031.01582404.2611.74FR20170208BIG2468​782​11378​1714​1968​31102​37121​4162​4375​4790​6155​7193​73256​10163​10729​109243928​5686​1319​23115​29163​53125​5912​7953​8322​103121​11323​127188
1041.01522957.7613.70IC2010061233​313​BIG5362​7109​117​17326​3711​5333​59179​67137​7976​103348​10912​113103​13142​15112​1631662465​1376​1957​23611​2919​4111​4398​6184​7113​73250​8330​8910​9780​10145​1277​1378​1393​167253​17325
1051.01373003.9911.36FR20180415BIG2729​322​551​7429​13177​1997​2360​53179​6774​97260​10388​10745​10955​15723​16338​16780​17313​1799​18159​1936011112​17305​2949​3132​377​4187​4316​47226​59142​61142​7142​7347​83121​89106​10128​127190​13735​13980​15112
1061.01343063.8411.11FR20180426 BIG1387​29101​31277​37323​41130​4731​53120​6116​71167​795​8976​978​10124​10929​113127​12721​139115​14923​15135​1672​17958275​3456​5107​7568​1197​17133​1949​23312​43174​598​6722​7330​83124​103·​10718​13144​1374​16339​17378​181213​199
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1581.005312483.778.30FR20180722BIG365​11564​2395​29695​3126​4110​43307​47248​61276​67286​71403​73484​83288​89176​101291​10389​10965​1138​13723​139427​149240​17923​181142​197618​211223​223192​22778​22936021888​51207​767​13473​17543​1987​37229​53402​59683​7963​107585​127668​131105​151580​157141​16399​173316​191103​193138​19990​239528
1591.005213077.928.23FR20180828BIG1331​29115​37155​41644​47987​59540​67776​73174​7955​8368​9756​107179​10969​131215​137648​13937​149296​167879​181286​19114​193254​19931​22355​22732​22945​23377​2392422309​3633​51058​7897​11439​17313​19113​23564​31126​43133​53152​61326​7156​89118​101211​1034​113464​127358​151110​157731​163128​17349​19727​211241​241928​25116
1601.005113330.638.32FR201804271312​BIG31734​5933​72161​41548​43455​47130​5953​7381​8968​101168​10336​107571​149130​1514​157133​173249​181571​19154​193787​197335​19948524278​1127​13542​17218​19390​29142​31464​371061​53320​6182​67632​7144​7928​8312​97517​10915​11319​12769​137267​139329​16359​167564​179411​211355​223178

AB  Andrey Balyakin  3
AN  Abderrahmane Nitaj  1
BdS  Bart de Smit  4
BdW  Benne de Weger  1
ER  Eric Reyssat  1
FR  Frank Rubin  73
IC  Ismael Jiménez Calvo  3
JB JB  Jerzy Browkin, Juliusz Brzezinski  1
JW  Jarek Wroblewski  70
RB  Ralf Bonse  2
VS  Victor Scharaschkin  1

Feel free to send me an update. There is one restriction: for now I will only add a triple to the end of the list if it has merit larger than 8.