The next graph shows the quality of the current 103 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


103 unbeaten triples:last update: 2015-07-30

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
121.361839.7236.99FR20150730434​6116​881231​310​17·​313​1914​577·​105231913531​74​116​133​3492
131.341544.5338.67RB2011102825434​182587·​2802983·​85813163215​377​11·​173556​245983
141.292947.0431.82RB2014031925​113​174​BIG32​533​191875​3120​472​3072​46411
151.279754.6735.32JW2009042174​BIG249​55​134​1573​10396​43912362​1111​292​616
161.259555.1631.32JW20090420BIG25​384​198​472519​722​233​715​20633
171.228955.6225.37IC20100612221​115​BIG331​133​6121516​715​192​373​436​677​83
181.220357.0724.46FR20131026317​1092​BIG219​75​195​2323​3761319​172​4720
191.217568.9430.03JW20090421433​BIG260​117​1326​2910338​57​476​1317​10096​1091
201.200970.3926.73JW200904222232​8112​BIG320​172​1920​1397​9296223​557​75​11·​1978
211.195076.3827.93JW2009042132​BIG256​1323​172​195​4112​793526​5911​678​27897
221.189678.1927.30FR201306197111​12312​BIG514​736​13·​193​317​4114234​326​2318​4319
231.176480.4924.81JW20090424BIG716​1143​5938218​352​133​237​737​1132​1515​12973
241.170883.0924.30JW20090421193​BIG320​721​1133​138​435​1512242​521​179​316​413​19112​3449
251.165089.0724.79GW20111111217​377​11·​173·​25434​182587·​2802983·​85813163194​BIG 25112​2459832
261.160489.4623.64JW20090417BIG220​540​898​70110​719473​1161​2916
271.1501110.4626.91JW20090420212​412​BIG512​77​1120​132​1721​3125​3134364​236​5316​595​1016​13111
281.1306117.4522.36JW200904211792​BIG33​591​78​3114​1318​173·​6312271​1145​1740
291.1272133.3824.73JW20090415792​BIG312​552​1111​1716​6718​8914230​744​1325​1919​292​314​1072​2839
301.1223145.6125.46JW20090420BIG2200​345​1141​1314​6592517​196​2932​373​617​23322​3114
311.1138148.3922.74JW20090420BIG317​1122​373​4122​11321​2549102157​561​1722​2311​2237
321.1095153.3321.97JW20090420832​BIG325​716​1143​137​2922​1276​15114282​57​1928​4118​6133
331.1072162.5522.63JW200904174672​BIG517​2915​5912​9744​1495​167·​2113284​363​749​119​135​178​195​237​4715
341.1005171.1421.27JW200904201673​BIG351​512​730​11·​23·​4332​1313​1789162139​1316​1716​4720​72710​20119
351.0964171.7819.72JW20090415372​BIG255​582​17·​239​4337​533​978​82134​713​118​138​192​295​3113​4114​4743​1635​1913
361.0960181.2220.84JW20090418BIG263​336​1118​1716​7925​49122553​712​199​3111​3712​595​8910​1995​43318
371.0916181.9819.18FR20130406553​7·​1111​1914​2346​476​7911​83513718​BIG2·​325​1328​2928​378​4323​6710​8915
381.0915189.6820.07JW20090417BIG291​354​1965​233​319​372​5319568​76​1139​2923​71·​3734​45714​4915
391.0900200.1720.70JW2009042054​BIG214​1319​418​6756​6912137​724​113​1738​2320​2926​8332
401.0883252.7226.21JW20090415BIG368​572​711​1131​198​2921​3726​12717​1515213​1310​237​3140​4711​42149​4878
411.0799268.0623.18JW2009041816092​BIG310​1123​1348​1775​23·​476​79·​109·​2276​367252265​533​726​1911​2919​3143​7320
421.0722292.7721.10JW20090414BIG132​179​1919​319​4151​10728​27720​49120256​3116​550​710​11·​2332​292​3756​4725
431.0715295.5220.93JW20090417311​BIG579​1141​1715​2957​3717​61·​10732​2572259​796​1318​1960​2313​535​4635
441.0699307.3521.01JW200904171513​BIG227​1120​1377​1767​1918​232​438​473​34925​607357​5142​721​3793​139·​3376
451.0668337.2221.43JW20090414215​3832​BIG343​532​1195​2334​294​3121​4330​41924759​137​17124​1923​4115​4723​536​4396​8093
461.0616342.5318.66JW2009041436​4992​BIG2309​1167​1966​4110​4341​2815516​728​1327​1776​232​2962​31·​3721​713​1938​31313
471.0588357.8417.91JW20090414BIG515​1311​1922​2323​2927​4312​6755​10957212​3158​72​1134​1747​3742​4111​536​5922​615​2112​31315
481.0586372.4718.62JW20090414BIG2115​535​1143​1749​2321​2935​317​372​4317​4718​15726321​734​1389​1972​4118​7320​34730
491.0566374.2317.54JW20090414BIG319​7136​137​1935​3142​4113​15733​93714265​5170​1110​2334​375​4768​5328​2114
501.0553387.9117.45FR201302048920​BIG3109​2312​2917​318​3738​4131​4759​73402316​560​757​1142​1343​4319​5326​7119
511.0543393.7917.12JW20090414BIG224​1113​17164​198​2342​3727​4321​836​897​101317​550​765​134​3164​4124​5381​613​2715
521.0534411.1217.43JW20090414114​BIG2247​550​135​172​2376​375​4315​5945​7342342​741​1947​29156​4139​472​89
531.0525456.9719.06JW20090417BIG231​72​13103​1735​193​2310​4160​6745​7117​27110​991123238​5198​115​3145​4326​474​536​6141
541.0480457.1015.99JW20090414BIG2188​327​7170​1330​3131​4324​6755​791352​1197​1959​2916​3735​4173​5310​6129​2336
551.0473500.4317.22JW20090415BIG3200​737​1384​2323​3714​4338​477​594​6110​7330​7922​837​27772267​113​178​1930​2922​3166​4145​5332​6713​8942​2392
561.0452508.4416.04JW2009041410912​BIG743​1918​2314​31·​4166​4725​5371​5963​373182176​3338​5137​1110​1327​1766​3736​3135​3973
571.0445517.0815.88BdS20090311BIG27​715​1134​13200​2321​4132​4755​6735​1014345​581​1727​1939​2923​31·​3755​5313​6127​796​83·​9714​10361
581.0438567.3217.13JW20090415BIG2348​5199​1370​2328​2961​41·​5320​1815​33728367​713​1163​1934​3110​372​4764​672​71117​737​7930
591.0437571.0517.20JW20090311BIG3112​786​1143​2355​3713​4158​4729​532​6143​894​10310​12726238​562​1311​1717​193​2920​31102​4337​59·​7118​7949​8357
601.0413590.1115.96BdS20090311BIG2161​719​1311​1934​2930​315​4123​47103​5974​101393142​5236​1155​172​2342​5329​673​712​7381​7916
611.0409668.8418.06JW20090415BIG3300​1368​2948​31164​377​5333​5925​83122124​5137​756​1133​1752​19183​2310​6117​7110​7323​10711​23312
621.0395677.1117.09JW20090417BIG2100​7144​1961​376​439​4722​7161​8967​10338​19711​373163205​545​11109​1343​235​2942​3110​4139​5912​612​7324​7987​833
631.0387680.9616.54JW20090417BIG1786​236​2973​3141​4313​5932​61128​7143​73725​329​5128​79​1130​3725​41206​4747​532​677​832​1633​3533​44320
641.0380693.3116.31JW200904173133​BIG238​3247​5111​195​2361​2910​3183​3716​4712​7152​48739​12134777​1177​1346​1779​4110​4369​53124​5912​6120
651.0361713.7215.24JW20090417BIG3260​749​1371​23160​2939​378​4347​5925​6121​1514​25762538​5161​11257​178​1912​3113​4731​538​833​9728
661.0359726.9415.42JW200904175872​BIG2433​5121​139​178​2343​3149​47133​59783341​760​114​1927​2945​3725​4354​7129​1097​137100
671.0353757.0315.56JW20090417BIG278​329​37130​4125​438​478​5342​79173​10320​1074757​11108​1391​1920​2362​29·​3127​618​712​7322​8345​8956​978​26930
681.0350767.2715.55JW20090415BIG2641​7159​1724​2343​3725​41120​475​5924​6136​73·​1313175​5265​1122​1316​1935​312​4315​6769​7177​15727​2839​35314
691.0343792.7415.54JW20090312BIG3291​13133​175​1975​29128​4350​5319​10131​10914​19152296​510​776​1149​2362​3758​478​5952​618​6713​7114​7328​7916​1037​11338​13729
701.0329812.3214.71JW20090415BIG31121​3711​41134​4351​4731​5910​7167​7327​109352207​34​532​735​11186​1331​19137​2330​299​5350​6115​17329​27125
711.0329818.3014.80JW20090417BIG11146​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
721.0325829.0314.66JW200904151072​BIG3131​1778​23154​2925​3112​3719​4159​53100​5910​73492154​5231​758​1360​1933​4341​6113​6721​7169​7926​15726​16315​49125
731.0323860.8315.19JW20090415BIG2247​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
741.0321880.3215.35JW20090417112​BIG2120​567​733​138​2361​2944​3127​3755​4141​4357​5320​617​678​7389​66112​75123392​17147​4754​5972​71195​8340
751.0305889.4114.05JW2009041758​BIG252​329​1382​19113​2383​31134​4786​5323​5916​8951711​11134​1718​2947​4146​43101​6146​6738​73139
761.0304980.9415.59JW20090415BIG256​3200​595​724​1325​2317​3159​3749​4328​5965​7133​798​8382​12755​271231157​17212​1938​2970​4171​4732​5343​613​97132
771.0285988.6613.83JW20090312BIG259​1173​1318​1971​3112​3768​47109​5333​6186​6731​7149​733​7918​8325​131153214​560​784​2398​29116​4191​4360​597​8941​11365
781.02791117.9915.30JW200904172392​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
791.02691179.9215.13JW20090417BIG3347​578​7226​1112​1392​1990​4112​4747​5313​59112​892​35319​5636129​1769​29197​31215​3728​4366​619​6760​7319​7926​24151
801.02611206.1514.58JW20090417BIG5102​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
811.02561217.4314.19BdS20090311BIG2117​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
821.02551222.2114.18JW20090415BIG2232​5162​1744​1994​29240​433​59131​6120​7157​733​8316​89513318​7249​1186​13184​2310​3174​3774​417​472​5347​675​1374​13999
831.02441275.5713.62JW20090415BIG2152​3410​5218​11258​1335​1769​2953​4117​4732​5950​7132​8318​8939​1033672​2367​3148​3788​4335​6778​73145​9720​10171​26368​38944​46716
841.02441315.2314.07JW200904171132​BIG5132​795​2983​3135​37131​6754​7325​83103​8938​19142​27747​467512222​3286​1135​13113​1742​19189​2339​4732​5320​5987​6171​7121​79103
851.02401361.3514.11FR201402072354​3469​52​748​1790​2372​29116​4332​4749​5390​8397​971641926​BIG11230​1329​197​414​61195​6763​7135​73141​89136​1074​1095
861.02311457.7714.22FR20120414592​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
871.02151466.9212.44FR201312193934​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
881.02151480.9412.51FR20120223563​784​1725​1973​2357​2920​3143​3785​413​4313​5359​73132​8362​10322​107712211​3172​BIG3278​11235​13347​4711​61104​7113​79132​97120
891.02121511.8812.44JW20090417BIG2130​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
901.02101565.3212.74JW20090417BIG2294​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
911.02091677.3413.64FR20120626BIG5179​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
921.02031685.0312.93JW20090417BIG2129​5148​1769​3180​3762​418​47116​53229​61138​6724​8959​19373​31727341​7536​1132​13111​1981​2337​29322​715​73128​7975​10720
931.02001795.3413.50FR201403053497​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
941.01901798.1212.20JW20090417BIG1323​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
951.01901805.0212.19FR201401153224​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
961.01881836.5212.17JW20090312BIG3512​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
971.01851872.1612.15FR201401242811​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
981.01841947.5812.57BdS2009031172​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
991.01802000.7512.39JW20090312BIG2204​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
1001.01792015.7812.31JW20090312BIG2349​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
1011.01762083.5712.35JW20090417BIG3303​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
1021.01742291.7713.46JW20090312BIG7126​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
1031.01522957.7613.70IC2010061233​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  16
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.