The next graph shows the quality of the current 100 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


100 unbeaten triples:last update: 2013-04-06

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
81.412629.2531.37FR20100128214​36​424873514​2912​8378​113​477​46109111
91.412129.3831.48FR20100212237​312​91093513​1315​2939723​11·​793345871
101.399635.5137.95RB2012053133​19·​115273210​312​3711​BIG734​174​71
111.367836.9534.76JW20090421372​533​41777·​111323337​11·​132​734​1394263​57​76​2832​1307
121.341544.5338.67RB2011102825434​182587·​2802983·​85813163215​377​11·​173556​245983
131.279754.6735.32JW2009042174​BIG249​55​134​1573​10396​43912362​1111​292​616
141.259555.1631.32JW20090420BIG25​384​198​472519​722​233​715​20633
151.228955.6225.37IC20100612221​115​BIG331​133​6121516​715​192​373​436​677​83
161.219056.9224.11JW2009050352​6532​33232​BIG717​1331​1014250​312​1117​378​8812
171.217568.9430.03JW20090421433​BIG260​117​1326​2910338​57​476​1317​10096​1091
181.200970.3926.73JW200904222232​8112​BIG320​172​1920​1397​9296223​557​75​11·​1978
191.195076.3827.93JW2009042132​BIG256​1323​172​195​4112​793526​5911​678​27897
201.176480.4924.81JW20090424BIG716​1143​5938218​352​133​237​737​1132​1515​12973
211.170883.0924.30JW20090421193​BIG320​721​1133​138​435​1512242​521​179​316​413​19112​3449
221.165089.0724.79GW20111111217​377​11·​173·​25434​182587·​2802983·​85813163194​BIG25112​2459832
231.160489.4623.64JW20090417BIG220​540​898​70110​719473​1161​2916
241.1501110.4626.91JW20090420212​412​BIG512​77​1120​132​1721​3125​3134364​236​5316​595​1016​13111
251.1306117.4522.36JW200904211792​BIG33​591​78​3114​1318​173·​6312271​1145​1740
261.1272133.3824.73JW20090415792​BIG312​552​1111​1716​6718​8914230​744​1325​1919​292​314​1072​2839
271.1223145.6125.46JW20090420BIG2200​345​1141​1314​6592517​196​2932​373​617​23322​3114
281.1138148.3922.74JW20090420BIG317​1122​373​4122​11321​2549102157​561​1722​2311​2237
291.1095153.3321.97JW20090420832​BIG325​716​1143​137​2922​1276​15114282​57​1928​4118​6133
301.1072162.5522.63JW200904174672​BIG517​2915​5912​9744​1495​167·​2113284​363​749​119​135​178​195​237​4715
311.1005171.1421.27JW200904201673​BIG351​512​730​11·​23·​4332​1313​1789162139​1316​1716​4720​72710​20119
321.0964171.7819.72JW20090415372​BIG255​582​17·​239​4337​533​978​82134​713​118​138​192​295​3113​4114​4743​1635​1913
331.0960181.2220.84JW20090418BIG263​336​1118​1716​7925​49122553​712​199​3111​3712​595​8910​1995​43318
341.0916181.9819.18FR20130406553​7·​1111​1914​2346​476​7911​83513718​BIG2·​325​1328​2928​378​4323​6710​8915
351.0915189.6820.07JW20090417BIG291​354​1965​233​319​372​5319568​76​1139​2923​71·​3734​45714​4915
361.0900200.1720.70JW2009042054​BIG214​1319​418​6756​6912137​724​113​1738​2320​2926​8332
371.0883252.7226.21JW20090415BIG368​572​711​1131​198​2921​3726​12717​1515213​1310​237​3140​4711​42149​4878
381.0799268.0623.18JW2009041816092​BIG310​1123​1348​1775​23·​476​79·​109·​2276​367252265​533​726​1911​2919​3143​7320
391.0722292.7721.10JW20090414BIG132​179​1919​319​4151​10728​27720​49120256​3116​550​710​11·​2332​292​3756​4725
401.0715295.5220.93JW20090417311​BIG579​1141​1715​2957​3717​61·​10732​2572259​796​1318​1960​2313​535​4635
411.0699307.3521.01JW200904171513​BIG227​1120​1377​1767​1918​232​438​473​34925​607357​5142​721​3793​139·​3376
421.0668337.2221.43JW20090414215​3832​BIG343​532​1195​2334​294​3121​4330​41924759​137​17124​1923​4115​4723​536​4396​8093
431.0616342.5318.66JW2009041436​4992​BIG2309​1167​1966​4110​4341​2815516​728​1327​1776​232​2962​31·​3721​713​1938​31313
441.0588357.8417.91JW20090414BIG515​1311​1922​2323​2927​4312​6755​10957212​3158​72​1134​1747​3742​4111​536​5922​615​2112​31315
451.0586372.4718.62JW20090414BIG2115​535​1143​1749​2321​2935​317​372​4317​4718​15726321​734​1389​1972​4118​7320​34730
461.0566374.2317.54JW20090414BIG319​7136​137​1935​3142​4113​15733​93714265​5170​1110​2334​375​4768​5328​2114
471.0553387.9117.45FR201302048920​BIG3109​2312​2917​318​3738​4131​4759​73402316​560​757​1142​1343​4319​5326​7119
481.0543393.7917.12JW20090414BIG224​1113​17164​198​2342​3727​4321​836​897​101317​550​765​134​3164​4124​5381​613​2715
491.0534411.1217.43JW20090414114​BIG2247​550​135​172​2376​375​4315​5945​7342342​741​1947​29156​4139​472​89
501.0525456.9719.06JW20090417BIG231​72​13103​1735​193​2310​4160​6745​7117​27110​991123238​5198​115​3145​4326​474​536​6141
511.0480457.1015.99JW20090414BIG2188​327​7170​1330​3131​4324​6755​791352​1197​1959​2916​3735​4173​5310​6129​2336
521.0473500.4317.22JW20090415BIG3200​737​1384​2323​3714​4338​477​594​6110​7330​7922​837​27772267​113​178​1930​2922​3166​4145​5332​6713​8942​2392
531.0452508.4416.04JW2009041410912​BIG743​1918​2314​31·​4166​4725​5371​5963​373182176​3338​5137​1110​1327​1766​3736​3135​3973
541.0445517.0815.88BdS20090311BIG27​715​1134​13200​2321​4132​4755​6735​1014345​581​1727​1939​2923​31·​3755​5313​6127​796​83·​9714​10361
551.0438567.3217.13JW20090415BIG2348​5199​1370​2328​2961​41·​5320​1815​33728367​713​1163​1934​3110​372​4764​672​71117​737​7930
561.0437571.0517.20JW20090311BIG3112​786​1143​2355​3713​4158​4729​532​6143​894​10310​12726238​562​1311​1717​193​2920​31102​4337​59·​7118​7949​8357
571.0413590.1115.96BdS20090311BIG2161​719​1311​1934​2930​315​4123​47103​5974​101393142​5236​1155​172​2342​5329​673​712​7381​7916
581.0409668.8418.06JW20090415BIG3300​1368​2948​31164​377​5333​5925​83122124​5137​756​1133​1752​19183​2310​6117​7110​7323​10711​23312
591.0395677.1117.09JW20090417BIG2100​7144​1961​376​439​4722​7161​8967​10338​19711​373163205​545​11109​1343​235​2942​3110​4139​5912​612​7324​7987​833
601.0387680.9616.54JW20090417BIG1786​236​2973​3141​4313​5932​61128​7143​73725​329​5128​79​1130​3725​41206​4747​532​677​832​1633​3533​44320
611.0380693.3116.31JW200904173133​BIG238​3247​5111​195​2361​2910​3183​3716​4712​7152​48739​12134777​1177​1346​1779​4110​4369​53124​5912​6120
621.0361713.7215.24JW20090417BIG3260​749​1371​23160​2939​378​4347​5925​6121​1514​25762538​5161​11257​178​1912​3113​4731​538​833​9728
631.0359726.9415.42JW200904175872​BIG2433​5121​139​178​2343​3149​47133​59783341​760​114​1927​2945​3725​4354​7129​1097​137100
641.0353757.0315.56JW20090417BIG278​329​37130​4125​438​478​5342​79173​10320​1074757​11108​1391​1920​2362​29·​3127​618​712​7322​8345​8956​978​26930
651.0350767.2715.55JW20090415BIG2641​7159​1724​2343​3725​41120​475​5924​6136​73·​1313175​5265​1122​1316​1935​312​4315​6769​7177​15727​2839​35314
661.0343792.7415.54JW20090312BIG3291​13133​175​1975​29128​4350​5319​10131​10914​19152296​510​776​1149​2362​3758​478​5952​618​6713​7114​7328​7916​1037​11338​13729
671.0329812.3214.71JW20090415BIG31121​3711​41134​4351​4731​5910​7167​7327​109352207​34​532​735​11186​1331​19137​2330​299​5350​6115​17329​27125
681.0329818.3014.80JW20090417BIG11146​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
691.0325829.0314.66JW200904151072​BIG3131​1778​23154​2925​3112​3719​4159​53100​5910​73492154​5231​758​1360​1933​4341​6113​6721​7169​7926​15726​16315​49125
701.0323860.8315.19JW20090415BIG2247​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
711.0321880.3215.35JW20090417112​BIG2120​567​733​138​2361​2944​3127​3755​4141​4357​5320​617​678​7389​66112​75123392​17147​4754​5972​71195​8340
721.0305889.4114.05JW2009041758​BIG252​329​1382​19113​2383​31134​4786​5323​5916​8951711​11134​1718​2947​4146​43101​6146​6738​73139
731.0304980.9415.59JW20090415BIG256​3200​595​724​1325​2317​3159​3749​4328​5965​7133​798​8382​12755​271231157​17212​1938​2970​4171​4732​5343​613​97132
741.0285988.6613.83JW20090312BIG259​1173​1318​1971​3112​3768​47109​5333​6186​6731​7149​733​7918​8325​131153214​560​784​2398​29116​4191​4360​597​8941​11365
751.02791117.9915.30JW200904172392​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
761.02691179.9215.13JW20090417BIG3347​578​7226​1112​1392​1990​4112​4747​5313​59112​892​35319​5636129​1769​29197​31215​3728​4366​619​6760​7319​7926​24151
771.02611206.1514.58JW20090417BIG5102​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
781.02561217.4314.19BdS20090311BIG2117​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
791.02551222.2114.18JW20090415BIG2232​5162​1744​1994​29240​433​59131​6120​7157​733​8316​89513318​7249​1186​13184​2310​3174​3774​417​472​5347​675​1374​13999
801.02441275.5713.62JW20090415BIG2152​3410​5218​11258​1335​1769​2953​4117​4732​5950​7132​8318​8939​1033672​2367​3148​3788​4335​6778​73145​9720​10171​26368​38944​46716
811.02441315.2314.07JW200904171132​BIG5132​795​2983​3135​37131​6754​7325​83103​8938​19142​27747​467512222​3286​1135​13113​1742​19189​2339​4732​5320​5987​6171​7121​79103
821.02391328.6713.62JW20090415BIG2112​5117​7179​1117​13365​1799​29154​3715​4124​472​7926​8913​15149​26318349​193​2352​3143​4339​5330​5974​6768​8396​97161​283119
831.02341333.5413.15JW20090417BIG2672​5187​749​11132​3135​4362​53·​61·​7315​7921​83202​10377​383213196​13268​17159​1940​2313​29165​3739​4156​4715​6744​8911​10726​15148
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
851.02151480.9412.51FR20120223563​784​1725​1973​2357​2920​3143​3785​413​4313​5359​73132​8362​10322​107712211​3172​BIG3278​11235​13347​4711​61104​7113​79132​97120
861.02121511.8812.44JW20090417BIG2130​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
871.02101565.3212.74JW20090417BIG2294​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
881.02091677.3413.64FR20120626BIG5179​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
891.02031685.0312.93JW20090417BIG2129​5148​1769​3180​3762​418​47116​53229​61138​6724​8959​19373​31727341​7536​1132​13111​1981​2337​29322​715​73128​7975​10720
901.01941727.5112.11JW20090417BIG2929​5168​1736​1947​29113​378​4757​53105​61104​7126​73172​9711​10360​10733​45733555​7155​1157​1381​2366​31269​4113​4321​6716​7917​8312​101210​10964
911.01941741.1312.19JW20090417BIG2642​39​592​7197​11218​177​1950​29116​43263​5966​672​7958​8314​8973​107713103​23224​31150​37161​4150​5383​7363​10133​10969​113118​13126
921.01931771.2012.32JW20090417BIG5347​73​1119​1357​2928​41238​43156​4749​5944​6174​7370​796​891692132​3462​17203​1922​2319​31132​3730​53239​6760​8354​21138​23947​26357
931.01901798.1212.20JW20090417BIG1323​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
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
951.01841947.5812.57BdS2009031172​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
961.01802000.7512.39JW20090312BIG2204​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
971.01792015.7812.31JW20090312BIG2349​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
981.01762083.5712.35JW20090417BIG3303​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
991.01742291.7713.46JW20090312BIG7126​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
1001.01522957.7613.70IC2010061233​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

AN  Abderrahmane Nitaj  1
BdS  Bart de Smit  4
BdW  Benne de Weger  1
ER  Eric Reyssat  1
FR  Frank Rubin  8
GW  Edray Goins, James Weigandt  1
IC  Ismael Jiménez Calvo  4
JB JB  Jerzy Browkin, Juliusz Brzezinski  1
JW  Jarek Wroblewski  77
RB  Ralf Bonse  2

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 a larger merit than the last one on the list.