The next graph shows the quality of the current 102 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


102 unbeaten triples:last update: 2014-03-19

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
131.292947.0431.82RB2014031925​113​174​BIG32​533​191875​3120​472​3072​46411
141.279754.6735.32JW2009042174​BIG249​55​134​1573​10396​43912362​1111​292​616
151.259555.1631.32JW20090420BIG25​384​198​472519​722​233​715​20633
161.228955.6225.37IC20100612221​115​BIG331​133​6121516​715​192​373​436​677​83
171.220357.0724.46FR20131026317​1092​BIG219​75​195​2323​3761319​172​4720
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
241.165089.0724.79GW20111111217​377​11·​173·​25434​182587·​2802983·​85813163194​BIG 25112​2459832
251.160489.4623.64JW20090417BIG220​540​898​70110​719473​1161​2916
261.1501110.4626.91JW20090420212​412​BIG512​77​1120​132​1721​3125​3134364​236​5316​595​1016​13111
271.1306117.4522.36JW200904211792​BIG33​591​78​3114​1318​173·​6312271​1145​1740
281.1272133.3824.73JW20090415792​BIG312​552​1111​1716​6718​8914230​744​1325​1919​292​314​1072​2839
291.1223145.6125.46JW20090420BIG2200​345​1141​1314​6592517​196​2932​373​617​23322​3114
301.1138148.3922.74JW20090420BIG317​1122​373​4122​11321​2549102157​561​1722​2311​2237
311.1095153.3321.97JW20090420832​BIG325​716​1143​137​2922​1276​15114282​57​1928​4118​6133
321.1072162.5522.63JW200904174672​BIG517​2915​5912​9744​1495​167·​2113284​363​749​119​135​178​195​237​4715
331.1005171.1421.27JW200904201673​BIG351​512​730​11·​23·​4332​1313​1789162139​1316​1716​4720​72710​20119
341.0964171.7819.72JW20090415372​BIG255​582​17·​239​4337​533​978​82134​713​118​138​192​295​3113​4114​4743​1635​1913
351.0960181.2220.84JW20090418BIG263​336​1118​1716​7925​49122553​712​199​3111​3712​595​8910​1995​43318
361.0916181.9819.18FR20130406553​7·​1111​1914​2346​476​7911​83513718​BIG2·​325​1328​2928​378​4323​6710​8915
371.0915189.6820.07JW20090417BIG291​354​1965​233​319​372​5319568​76​1139​2923​71·​3734​45714​4915
381.0900200.1720.70JW2009042054​BIG214​1319​418​6756​6912137​724​113​1738​2320​2926​8332
391.0883252.7226.21JW20090415BIG368​572​711​1131​198​2921​3726​12717​1515213​1310​237​3140​4711​42149​4878
401.0799268.0623.18JW2009041816092​BIG310​1123​1348​1775​23·​476​79·​109·​2276​367252265​533​726​1911​2919​3143​7320
411.0722292.7721.10JW20090414BIG132​179​1919​319​4151​10728​27720​49120256​3116​550​710​11·​2332​292​3756​4725
421.0715295.5220.93JW20090417311​BIG579​1141​1715​2957​3717​61·​10732​2572259​796​1318​1960​2313​535​4635
431.0699307.3521.01JW200904171513​BIG227​1120​1377​1767​1918​232​438​473​34925​607357​5142​721​3793​139·​3376
441.0668337.2221.43JW20090414215​3832​BIG343​532​1195​2334​294​3121​4330​41924759​137​17124​1923​4115​4723​536​4396​8093
451.0616342.5318.66JW2009041436​4992​BIG2309​1167​1966​4110​4341​2815516​728​1327​1776​232​2962​31·​3721​713​1938​31313
461.0588357.8417.91JW20090414BIG515​1311​1922​2323​2927​4312​6755​10957212​3158​72​1134​1747​3742​4111​536​5922​615​2112​31315
471.0586372.4718.62JW20090414BIG2115​535​1143​1749​2321​2935​317​372​4317​4718​15726321​734​1389​1972​4118​7320​34730
481.0566374.2317.54JW20090414BIG319​7136​137​1935​3142​4113​15733​93714265​5170​1110​2334​375​4768​5328​2114
491.0553387.9117.45FR201302048920​BIG3109​2312​2917​318​3738​4131​4759​73402316​560​757​1142​1343​4319​5326​7119
501.0543393.7917.12JW20090414BIG224​1113​17164​198​2342​3727​4321​836​897​101317​550​765​134​3164​4124​5381​613​2715
511.0534411.1217.43JW20090414114​BIG2247​550​135​172​2376​375​4315​5945​7342342​741​1947​29156​4139​472​89
521.0525456.9719.06JW20090417BIG231​72​13103​1735​193​2310​4160​6745​7117​27110​991123238​5198​115​3145​4326​474​536​6141
531.0480457.1015.99JW20090414BIG2188​327​7170​1330​3131​4324​6755​791352​1197​1959​2916​3735​4173​5310​6129​2336
541.0473500.4317.22JW20090415BIG3200​737​1384​2323​3714​4338​477​594​6110​7330​7922​837​27772267​113​178​1930​2922​3166​4145​5332​6713​8942​2392
551.0452508.4416.04JW2009041410912​BIG743​1918​2314​31·​4166​4725​5371​5963​373182176​3338​5137​1110​1327​1766​3736​3135​3973
561.0445517.0815.88BdS20090311BIG27​715​1134​13200​2321​4132​4755​6735​1014345​581​1727​1939​2923​31·​3755​5313​6127​796​83·​9714​10361
571.0438567.3217.13JW20090415BIG2348​5199​1370​2328​2961​41·​5320​1815​33728367​713​1163​1934​3110​372​4764​672​71117​737​7930
581.0437571.0517.20JW20090311BIG3112​786​1143​2355​3713​4158​4729​532​6143​894​10310​12726238​562​1311​1717​193​2920​31102​4337​59·​7118​7949​8357
591.0413590.1115.96BdS20090311BIG2161​719​1311​1934​2930​315​4123​47103​5974​101393142​5236​1155​172​2342​5329​673​712​7381​7916
601.0409668.8418.06JW20090415BIG3300​1368​2948​31164​377​5333​5925​83122124​5137​756​1133​1752​19183​2310​6117​7110​7323​10711​23312
611.0395677.1117.09JW20090417BIG2100​7144​1961​376​439​4722​7161​8967​10338​19711​373163205​545​11109​1343​235​2942​3110​4139​5912​612​7324​7987​833
621.0387680.9616.54JW20090417BIG1786​236​2973​3141​4313​5932​61128​7143​73725​329​5128​79​1130​3725​41206​4747​532​677​832​1633​3533​44320
631.0380693.3116.31JW200904173133​BIG238​3247​5111​195​2361​2910​3183​3716​4712​7152​48739​12134777​1177​1346​1779​4110​4369​53124​5912​6120
641.0361713.7215.24JW20090417BIG3260​749​1371​23160​2939​378​4347​5925​6121​1514​25762538​5161​11257​178​1912​3113​4731​538​833​9728
651.0359726.9415.42JW200904175872​BIG2433​5121​139​178​2343​3149​47133​59783341​760​114​1927​2945​3725​4354​7129​1097​137100
661.0353757.0315.56JW20090417BIG278​329​37130​4125​438​478​5342​79173​10320​1074757​11108​1391​1920​2362​29·​3127​618​712​7322​8345​8956​978​26930
671.0350767.2715.55JW20090415BIG2641​7159​1724​2343​3725​41120​475​5924​6136​73·​1313175​5265​1122​1316​1935​312​4315​6769​7177​15727​2839​35314
681.0343792.7415.54JW20090312BIG3291​13133​175​1975​29128​4350​5319​10131​10914​19152296​510​776​1149​2362​3758​478​5952​618​6713​7114​7328​7916​1037​11338​13729
691.0329812.3214.71JW20090415BIG31121​3711​41134​4351​4731​5910​7167​7327​109352207​34​532​735​11186​1331​19137​2330​299​5350​6115​17329​27125
701.0329818.3014.80JW20090417BIG11146​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
711.0325829.0314.66JW200904151072​BIG3131​1778​23154​2925​3112​3719​4159​53100​5910​73492154​5231​758​1360​1933​4341​6113​6721​7169​7926​15726​16315​49125
721.0323860.8315.19JW20090415BIG2247​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
731.0321880.3215.35JW20090417112​BIG2120​567​733​138​2361​2944​3127​3755​4141​4357​5320​617​678​7389​66112​75123392​17147​4754​5972​71195​8340
741.0305889.4114.05JW2009041758​BIG252​329​1382​19113​2383​31134​4786​5323​5916​8951711​11134​1718​2947​4146​43101​6146​6738​73139
751.0304980.9415.59JW20090415BIG256​3200​595​724​1325​2317​3159​3749​4328​5965​7133​798​8382​12755​271231157​17212​1938​2970​4171​4732​5343​613​97132
761.0285988.6613.83JW20090312BIG259​1173​1318​1971​3112​3768​47109​5333​6186​6731​7149​733​7918​8325​131153214​560​784​2398​29116​4191​4360​597​8941​11365
771.02791117.9915.30JW200904172392​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
781.02691179.9215.13JW20090417BIG3347​578​7226​1112​1392​1990​4112​4747​5313​59112​892​35319​5636129​1769​29197​31215​3728​4366​619​6760​7319​7926​24151
791.02611206.1514.58JW20090417BIG5102​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
801.02561217.4314.19BdS20090311BIG2117​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
811.02551222.2114.18JW20090415BIG2232​5162​1744​1994​29240​433​59131​6120​7157​733​8316​89513318​7249​1186​13184​2310​3174​3774​417​472​5347​675​1374​13999
821.02441275.5713.62JW20090415BIG2152​3410​5218​11258​1335​1769​2953​4117​4732​5950​7132​8318​8939​1033672​2367​3148​3788​4335​6778​73145​9720​10171​26368​38944​46716
831.02441315.2314.07JW200904171132​BIG5132​795​2983​3135​37131​6754​7325​83103​8938​19142​27747​467512222​3286​1135​13113​1742​19189​2339​4732​5320​5987​6171​7121​79103
841.02401361.3514.11FR201402072354​3469​52​748​1790​2372​29116​4332​4749​5390​8397​971641926​BIG11230​1329​197​414​61195​6763​7135​73141​89136​1074​1095
851.02311457.7714.22FR20120414592​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
861.02151466.9212.44FR201312193934​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
871.02151480.9412.51FR20120223563​784​1725​1973​2357​2920​3143​3785​413​4313​5359​73132​8362​10322​107712211​3172​BIG3278​11235​13347​4711​61104​7113​79132​97120
881.02121511.8812.44JW20090417BIG2130​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
891.02101565.3212.74JW20090417BIG2294​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
901.02091677.3413.64FR20120626BIG5179​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
911.02031685.0312.93JW20090417BIG2129​5148​1769​3180​3762​418​47116​53229​61138​6724​8959​19373​31727341​7536​1132​13111​1981​2337​29322​715​73128​7975​10720
921.02001795.3413.50FR201403053497​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
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
941.01901805.0212.19FR201401153224​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
951.01881836.5212.17JW20090312BIG3512​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
961.01851872.1612.15FR201401242811​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
971.01841947.5812.57BdS2009031172​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
981.01802000.7512.39JW20090312BIG2204​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
991.01792015.7812.31JW20090312BIG2349​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
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
1021.01522957.7613.70IC2010061233​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  15
GW  Edray Goins, James Weigandt  1
IC  Ismael Jiménez Calvo  4
JB JB  Jerzy Browkin, Juliusz Brzezinski  1
JW  Jarek Wroblewski  71
RB  Ralf Bonse  3

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.