History of $abc$-triples of high merit

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2026-08-09 09:26 label hoist moved the parameter labels onto the parameter they describe current
2026-08-09 09:13 flattening entries rewritten as records with named parameters
2026-08-09 08:34 data-repository import the current state of the data repository reviewed
2021-05-18 08:37 admin from the data repository, 0e74c6de
2021-05-08 07:21 admin from the data repository, a38cab2b
2021-05-06 16:25 admin from the data repository, 3b84bc5f
2021-05-06 15:55 admin from the data repository, 306eebc3
2021-05-06 15:31 admin from the data repository, 9f47e198

What changed between 2021-05-06 15:31 and 2021-05-06 15:55

from line 46 (13 lines, 3 more than before) @@ -46,10 +46,13 @@
   sources:   - CITE{ABCatHomeHighM} and the references therein-  reliability: The merit $m$ is correct up to one ulp (unit of least precision);  see-    HREF{https://www.numberdb.org/help#section-number-types}.+  reliability: 'The given merit $m$ might not be reliable,  in which case it is signified+    with an asterisk ''*'': By definition, $m$ depends on the prime factorization+    of $abc$, which might be out of reach. If this is the case, the large remaining+    factor of $abc$ is heuristically assumed to be square-free,  such that a heuristic+    value for $r$ (and thus for $q$ and $m$) can be deduced.' Display properties:   number-header: value Numbers:-  '38.665':+  '38.6657283225':     a:       param-latex: $a$
from line 64 (5 lines) @@ -61,5 +64,5 @@
       param-latex: $c$       number: '341369987832962351603782735764980316162109375'-  '37.947':+  '37.9475481412':     a:       param-latex: $a$
from line 74 (5 lines) @@ -71,5 +74,5 @@
       param-latex: $c$       number: '320913062252451680627925768197622359'-  '36.991':+  '36.9911890576':     a:       param-latex: $a$
from line 84 (5 lines) @@ -81,5 +84,5 @@
       param-latex: $c$       number: '5300286143764718049205839633941650390625'-  '36.833':+  '36.8334949841':     a:       param-latex: $a$
from line 94 (5 lines) @@ -91,5 +94,5 @@
       param-latex: $c$       number: '146839682795138978151173843462635023142875896896'-  '35.323':+  '35.3237791873':     a:       param-latex: $a$
from line 104 (5 lines) @@ -101,5 +104,5 @@
       param-latex: $c$       number: '4716418511051923209358717745953916307052235357300844699'-  '35.155':+  '35.1558152048':     a:       param-latex: $a$
from line 114 (5 lines) @@ -111,5 +114,5 @@
       param-latex: $c$       number: '229735821053540168227618816'-  '35.120':+  '35.1205659292':     a:       param-latex: $a$
from line 124 (5 lines) @@ -121,5 +124,5 @@
       param-latex: $c$       number: '6045120559539161799852032000'-  '34.760':+  '34.7600052114':     a:       param-latex: $a$
from line 134 (5 lines) @@ -131,5 +134,5 @@
       param-latex: $c$       number: '8873939344779791541495104798720000000'-  '34.402':+  '34.4028192974':     a:       param-latex: $a$
from line 144 (5 lines) @@ -141,5 +144,5 @@
       param-latex: $c$       number: '13669290314551853179931640625'-  '33.897':+  '33.8975697913':     a:       param-latex: $a$
from line 154 (5 lines) @@ -151,5 +154,5 @@
       param-latex: $c$       number: '10705266665005733111813089673'-  '33.147':+  '33.1470623462':     a:       param-latex: $a$
from line 164 (5 lines) @@ -161,5 +164,5 @@
       param-latex: $c$       number: '649307589247725043520719814656'-  '32.626':+  '32.6268092368':     a:       param-latex: $a$
from line 174 (5 lines) @@ -171,5 +174,5 @@
       param-latex: $c$       number: '1475498869682047562174194497875839363'-  '32.590':+  '32.5909305759':     a:       param-latex: $a$
from line 184 (5 lines) @@ -181,5 +184,5 @@
       param-latex: $c$       number: '698042392297968606058159789361760359205584406924363971048555519'-  '32.227':+  '32.2275702483':     a:       param-latex: $a$
from line 194 (5 lines) @@ -191,5 +194,5 @@
       param-latex: $c$       number: '92834181056683160786058955055843'-  '31.883':+  '31.8832561098':     a:       param-latex: $a$
from line 204 (5 lines) @@ -201,5 +204,5 @@
       param-latex: $c$       number: '362059156587224169433748421'-  '31.820':+  '31.8207437035':     a:       param-latex: $a$
from line 214 (5 lines) @@ -211,5 +214,5 @@
       param-latex: $c$       number: '109098170963255825749488387255766676713616119957'-  '31.543':+  '31.5436720187':     a:       param-latex: $a$
from line 224 (5 lines) @@ -221,5 +224,5 @@
       param-latex: $c$       number: '613474845886230468750'-  '31.476':+  '31.4764155001':     a:       param-latex: $a$
from line 234 (5 lines) @@ -231,5 +234,5 @@
       param-latex: $c$       number: '238841709663649705652770167283'-  '31.369':+  '31.3690240292':     a:       param-latex: $a$
from line 244 (5 lines) @@ -241,5 +244,5 @@
       param-latex: $c$       number: '179239667701039727501493179483'-  '31.322':+  '31.3227627567':     a:       param-latex: $a$
from line 254 (5 lines) @@ -251,5 +254,5 @@
       param-latex: $c$       number: '14373412790223329808678540108964749923399944305419921875'-  '30.195':+  '30.1956005198':     a:       param-latex: $a$
from line 264 (5 lines) @@ -261,5 +264,5 @@
       param-latex: $c$       number: '478370551376812271132991239415063747410001920000000'-  '30.060':+  '30.0603679691':     a:       param-latex: $a$
from line 274 (5 lines) @@ -271,5 +274,5 @@
       param-latex: $c$       number: '17510834599231031778501714145215095809'-  '30.031':+  '30.0316202204':     a:       param-latex: $a$
from line 284 (5 lines) @@ -281,5 +284,5 @@
       param-latex: $c$       number: '867073024123444714825007295785168907522800357457623076040887634453125'-  '30.012':+  '30.0120893706':     a:       param-latex: $a$
from line 294 (5 lines) @@ -291,5 +294,5 @@
       param-latex: $c$       number: '3891340505348059344134115603515625'-  '29.900':+  '29.9007476505':     a:       param-latex: $a$
from line 304 (5 lines) @@ -301,5 +304,5 @@
       param-latex: $c$       number: '192951348159719152407896757351859877'-  '29.823':+  '29.8236824248':     a:       param-latex: $a$
from line 314 (5 lines) @@ -311,5 +314,5 @@
       param-latex: $c$       number: '3417344974020845417638395904'-  '29.586':+  '29.5866097281':     a:       param-latex: $a$
from line 324 (5 lines) @@ -321,5 +324,5 @@
       param-latex: $c$       number: '199233252660912087173070136137270513720003931069'-  '29.499':+  '29.4993544728':     a:       param-latex: $a$
from line 334 (5 lines) @@ -331,5 +334,5 @@
       param-latex: $c$       number: '5785662043817054242167132968933966039341655184'-  '29.255':+  '29.2556762565':     a:       param-latex: $a$
from line 344 (5 lines) @@ -341,5 +344,5 @@
       param-latex: $c$       number: '543059049829326025632862527553536'-  '29.136':+  '29.1362646194':     a:       param-latex: $a$
from line 354 (5 lines) @@ -351,5 +354,5 @@
       param-latex: $c$       number: '192664186774168804234571312993220050971'-  '28.758':+  '28.7581592243':     a:       param-latex: $a$
from line 364 (5 lines) @@ -361,5 +364,5 @@
       param-latex: $c$       number: '89711042690150541147910842056941005333980777'-  '28.670':+  '28.6705150710':     a:       param-latex: $a$
from line 374 (5 lines) @@ -371,5 +374,5 @@
       param-latex: $c$       number: '1092734372744083406848000000'-  '28.642':+  '28.6427510108':     a:       param-latex: $a$
from line 384 (5 lines) @@ -381,5 +384,5 @@
       param-latex: $c$       number: '2285620417520094434609375'-  '28.590':+  '28.5905419769':     a:       param-latex: $a$
from line 394 (5 lines) @@ -391,5 +394,5 @@
       param-latex: $c$       number: '74392346486376797873147845696000'-  '28.425':+  '28.4254480614':     a:       param-latex: $a$
from line 404 (5 lines) @@ -401,5 +404,5 @@
       param-latex: $c$       number: '141949861450245248022563281444736603019751796875'-  '28.381':+  '28.3813277111':     a:       param-latex: $a$
from line 414 (5 lines) @@ -411,5 +414,5 @@
       param-latex: $c$       number: '13907786772641477985453431799'-  '28.370':+  '28.3707930937':     a:       param-latex: $a$
from line 424 (5 lines) @@ -421,5 +424,5 @@
       param-latex: $c$       number: '8026769053317579666823369919801413'-  '28.360':+  '28.3605076726':     a:       param-latex: $a$
from line 434 (5 lines) @@ -431,5 +434,5 @@
       param-latex: $c$       number: '38110972058470684010299474988176324390133843070166015625'-  '28.315':+  '28.3157790172':     a:       param-latex: $a$
from line 444 (5 lines) @@ -441,5 +444,5 @@
       param-latex: $c$       number: '18060557607961536446730892458346390947265625'-  '28.288':+  '28.2886187427':     a:       param-latex: $a$
from line 454 (5 lines) @@ -451,5 +454,5 @@
       param-latex: $c$       number: '71649217148848522400424866728993'-  '28.137':+  '28.1372289328':     a:       param-latex: $a$
from line 464 (5 lines) @@ -461,5 +464,5 @@
       param-latex: $c$       number: '3035095189189615974361754795870902165282600016'-  '27.991':+  '27.9918979892':     a:       param-latex: $a$
from line 474 (5 lines) @@ -471,5 +474,5 @@
       param-latex: $c$       number: '81281131236689792721542928111095703125'-  '27.936':+  '27.9367398110':     a:       param-latex: $a$
from line 484 (5 lines) @@ -481,5 +484,5 @@
       param-latex: $c$       number: '13821594916543302282148223183'-  '27.925':+  '27.9250164010':     a:       param-latex: $a$
from line 494 (5 lines) @@ -491,5 +494,5 @@
       param-latex: $c$       number: '23951364622681064001554421880869308515342557106777655130253732204437255859375'-  '27.922':+  '27.9223302201':     a:       param-latex: $a$
from line 504 (5 lines) @@ -501,5 +504,5 @@
       param-latex: $c$       number: '570243460734558105468750'-  '27.903':+  '27.9031944381':     a:       param-latex: $a$
from line 514 (5 lines) @@ -511,5 +514,5 @@
       param-latex: $c$       number: '2835176071087641166072939245027328'-  '27.826':+  '27.8262813951':     a:       param-latex: $a$
from line 524 (5 lines) @@ -521,5 +524,5 @@
       param-latex: $c$       number: '2003565556020668713327114506087038937'-  '27.767':+  '27.7676854535':     a:       param-latex: $a$
from line 534 (5 lines) @@ -531,5 +534,5 @@
       param-latex: $c$       number: '398703807810572533087202432778240000000000000000000000000'-  '27.648':+  '27.6481859029':     a:       param-latex: $a$
from line 544 (5 lines) @@ -541,5 +544,5 @@
       param-latex: $c$       number: '201897910028962425473210457'-  '27.455':+  '27.4552472728':     a:       param-latex: $a$
from line 554 (5 lines) @@ -551,5 +554,5 @@
       param-latex: $c$       number: '24329989780515009588423793281389467201267784711843'-  '27.376':+  '27.3765998726':     a:       param-latex: $a$
from line 564 (5 lines) @@ -561,5 +564,5 @@
       param-latex: $c$       number: '4365732218346126969630818291'-  '27.300':+  '27.3005731355':     a:       param-latex: $a$
from line 574 (5 lines) @@ -571,5 +574,5 @@
       param-latex: $c$       number: '1538771661535189512319961772924491050220322548215594448962298203233509166809088'-  '27.241':+  '27.2413948968':     a:       param-latex: $a$
from line 584 (5 lines) @@ -581,5 +584,5 @@
       param-latex: $c$       number: '45729959189027380310145295375'-  '27.135':+  '27.1355871551':     a:       param-latex: $a$
from line 594 (5 lines) @@ -591,5 +594,5 @@
       param-latex: $c$       number: '57576591665729968690196983516216278076171875'-  '27.128':+  '27.1282095408':     a:       param-latex: $a$
from line 604 (5 lines) @@ -601,5 +604,5 @@
       param-latex: $c$       number: '109031397653295180407229810953140258789062500'-  '27.110':+  '27.1105891658':     a:       param-latex: $a$
from line 614 (5 lines) @@ -611,5 +614,5 @@
       param-latex: $c$       number: '4035798891494877636071396021376505225763660980542447081'-  '27.052':+  '27.0529860183':     a:       param-latex: $a$
from line 624 (5 lines) @@ -621,5 +624,5 @@
       param-latex: $c$       number: '1399554597612076384834986460126817'-  '26.962':+  '26.9620053697':     a:       param-latex: $a$
from line 634 (5 lines) @@ -631,5 +634,5 @@
       param-latex: $c$       number: '76176897958792650463258372926942375'-  '26.926':+  '26.9265615599':     a:       param-latex: $a$
from line 644 (5 lines) @@ -641,5 +644,5 @@
       param-latex: $c$       number: '121495171727591456203125'-  '26.909':+  '26.9094034523':     a:       param-latex: $a$
from line 654 (5 lines) @@ -651,5 +654,5 @@
       param-latex: $c$       number: '291550496198577256536957307176155067139100947044876006474852279862400296469090103047617024623260413189325819841'-  '26.874':+  '26.8743215601':     a:       param-latex: $a$
from line 664 (5 lines) @@ -661,5 +664,5 @@
       param-latex: $c$       number: '191008735430507276016796875'-  '26.862':+  '26.8628233845':     a:       param-latex: $a$
from line 674 (5 lines) @@ -671,5 +674,5 @@
       param-latex: $c$       number: '5020969537440000'-  '26.860':+  '26.8602510704':     a:       param-latex: $a$
from line 684 (5 lines) @@ -681,5 +684,5 @@
       param-latex: $c$       number: '46705984714420085010000456122211116'-  '26.800':+  '26.8005944987':     a:       param-latex: $a$
from line 694 (5 lines) @@ -691,5 +694,5 @@
       param-latex: $c$       number: '3332159431779520681157267974087099325775113'-  '26.775':+  '26.7759766438':     a:       param-latex: $a$
from line 704 (5 lines) @@ -701,5 +704,5 @@
       param-latex: $c$       number: '61206144099714429106045001'-  '26.759':+  '26.7592988954':     a:       param-latex: $a$
from line 714 (5 lines) @@ -711,5 +714,5 @@
       param-latex: $c$       number: '5037698590423231247144473751604107666015625'-  '26.743':+  '26.7430978789':     a:       param-latex: $a$
from line 724 (5 lines) @@ -721,5 +724,5 @@
       param-latex: $c$       number: '37173287761404731641095022801'-  '26.728':+  '26.7283721406':     a:       param-latex: $a$
from line 734 (5 lines) @@ -731,5 +734,5 @@
       param-latex: $c$       number: '24411408707750782855995756108313798904418945312500000000000000000000000'-  '26.704':+  '26.7040899356':     a:       param-latex: $a$
from line 744 (5 lines) @@ -741,5 +744,5 @@
       param-latex: $c$       number: '1042151581574097478515625'-  '26.628':+  '26.6288732385':     a:       param-latex: $a$
from line 754 (5 lines) @@ -751,5 +754,5 @@
       param-latex: $c$       number: '575964977644707347858848400006646061257'-  '26.622':+  '26.6224472694':     a:       param-latex: $a$
from line 764 (5 lines) @@ -761,5 +764,5 @@
       param-latex: $c$       number: '75960307119189544269610329'-  '26.541':+  '26.5419021181':     a:       param-latex: $a$
from line 774 (5 lines) @@ -771,5 +774,5 @@
       param-latex: $c$       number: '324487812500000000000000000'-  '26.527':+  '26.5275262727':     a:       param-latex: $a$
from line 784 (5 lines) @@ -781,5 +784,5 @@
       param-latex: $c$       number: '1293730089606366504133579569'-  '26.526':+  '26.5268156429':     a:       param-latex: $a$
from line 794 (5 lines) @@ -791,5 +794,5 @@
       param-latex: $c$       number: '850844589368449414581298828125'-  '26.525':+  '26.5252543406':     a:       param-latex: $a$
from line 804 (5 lines) @@ -801,5 +804,5 @@
       param-latex: $c$       number: '406680828357186701864265471514620443461349434361025'-  '26.516':+  '26.5163365198':     a:       param-latex: $a$
from line 814 (5 lines) @@ -811,5 +814,5 @@
       param-latex: $c$       number: '8095815186379050038416014676901888'-  '26.509':+  '26.5098335503':     a:       param-latex: $a$
from line 824 (5 lines) @@ -821,5 +824,5 @@
       param-latex: $c$       number: '4716293728638011947115093580991281921'-  '26.471':+  '26.4718843735':     a:       param-latex: $a$
from line 834 (5 lines) @@ -831,5 +834,5 @@
       param-latex: $c$       number: '1408449959449829865903874732676082598994560685955068001410651092457'-  '26.464':+  '26.4641649352':     a:       param-latex: $a$
from line 844 (5 lines) @@ -841,5 +844,5 @@
       param-latex: $c$       number: '1028673825701074701587578330926393009676045312362720700371549412929135778908546411045644584041'-  '26.447':+  '26.4476190240':     a:       param-latex: $a$
from line 854 (5 lines) @@ -851,5 +854,5 @@
       param-latex: $c$       number: '2433148624261351341328953998258929014265537261962890625'-  '26.397':+  '26.3978635328':     a:       param-latex: $a$
from line 864 (15 lines, 10 more than before) @@ -861,5 +864,15 @@
       param-latex: $c$       number: '672176008284267076991738855651808743054509506131349609375'-  '26.299':+  '26.2999833665':+    a:+      param-latex: $a$+      number: '51064811'+    b:+      param-latex: $b$+      number: '7826989785439209430125504708476928'+    c:+      param-latex: $c$+      number: '7826989785439209430125504759541739'+  '26.2992719266':     a:       param-latex: $a$
from line 884 (5 lines) @@ -871,5 +884,5 @@
       param-latex: $c$       number: '324209127189310500467198327318538505890979515625'-  '26.281':+  '26.2815832525':     a:       param-latex: $a$
from line 894 (5 lines) @@ -881,5 +894,5 @@
       param-latex: $c$       number: '151313210505321649179677478969097137451171875'-  '26.268':+  '26.2684063286':     a:       param-latex: $a$
from line 904 (5 lines) @@ -891,5 +904,5 @@
       param-latex: $c$       number: '359041971334335652336276588049'-  '26.233':+  '26.2330161143':     a:       param-latex: $a$
from line 914 (5 lines) @@ -901,5 +914,5 @@
       param-latex: $c$       number: '9509162922100286472566178972797239296'-  '26.220':+  '26.2200793889':     a:       param-latex: $a$
from line 924 (5 lines) @@ -911,5 +924,5 @@
       param-latex: $c$       number: '30345244961570735753155083354398561504375779296875'-  '26.219':+  '26.2197885621':     a:       param-latex: $a$
from line 934 (5 lines) @@ -921,5 +934,5 @@
       param-latex: $c$       number: '1330859194734520000000000000'-  '26.212':+  26.2126186698*:     a:       param-latex: $a$
from line 944 (5 lines) @@ -931,5 +944,5 @@
       param-latex: $c$       number: '5278577413810758801836010336474257081883762164704777912595229183757920803830115851975593746678375298211930595180252843401251337592731161475908377444746389258926514142000468226584030062738509478771198190993907596790727776997507392112935100963376217366528'-  '26.184':+  '26.1848989335':     a:       param-latex: $a$
from line 954 (5 lines) @@ -941,5 +954,5 @@
       param-latex: $c$       number: '2006225042637817045030924817643071097924793685578366976'-  '26.168':+  '26.1686300623':     a:       param-latex: $a$
from line 964 (5 lines) @@ -951,5 +964,5 @@
       param-latex: $c$       number: '30687232000000000000'-  '26.158':+  '26.1585775043':     a:       param-latex: $a$
from line 974 (5 lines) @@ -961,5 +974,5 @@
       param-latex: $c$       number: '88165084791245012368742154240000'-  '26.145':+  '26.1451698274':     a:       param-latex: $a$
from line 984 (5 lines) @@ -971,5 +984,5 @@
       param-latex: $c$       number: '2688173592706690257541362169135431782261854323064552199072945733'-  '26.144':+  '26.1448479741':     a:       param-latex: $a$
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from line 1914 (5 lines) @@ -1891,5 +1914,5 @@
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from line 1944 (5 lines) @@ -1911,5 +1944,5 @@
       param-latex: $c$       number: '2495080587425187738992112397518633801'-  '24.205':+  '24.2055068232':     a:       param-latex: $a$
from line 1954 (5 lines) @@ -1921,5 +1954,5 @@
       param-latex: $c$       number: '20716509203959487811450842000'-  '24.201':+  '24.2010293615':     a:       param-latex: $a$
from line 1964 (5 lines) @@ -1931,5 +1964,5 @@
       param-latex: $c$       number: '2481901421372989294304139673600000000'-  '24.200':+  '24.2008040257':     a:       param-latex: $a$
from line 1974 (5 lines) @@ -1941,5 +1974,5 @@
       param-latex: $c$       number: '9269880372641345040540001526245305318425583883866655947850852702773455636155262111609136'-  '24.197':+  '24.1975596566':     a:       param-latex: $a$
from line 1984 (5 lines) @@ -1951,5 +1984,5 @@
       param-latex: $c$       number: '1282060125929359208112218501374152254205179311'-  '24.174':+  '24.1747492360':     a:       param-latex: $a$
from line 1994 (5 lines) @@ -1961,5 +1994,5 @@
       param-latex: $c$       number: '2624990993600261964900937300431969621901312'-  '24.156':+  '24.1567711883':     a:       param-latex: $a$
from line 2004 (5 lines) @@ -1971,5 +2004,5 @@
       param-latex: $c$       number: '24065179596703712008994816000000000'-  '24.126':+  '24.1269540669':     a:       param-latex: $a$
from line 2014 (5 lines) @@ -1981,5 +2014,5 @@
       param-latex: $c$       number: '2095497085538324516438016'-  '24.115':+  '24.1156864660':     a:       param-latex: $a$
from line 2024 (5 lines) @@ -1991,5 +2024,5 @@
       param-latex: $c$       number: '12209871893879059025976340762297403641'-  '24.110':+  '24.1107542543':     a:       param-latex: $a$
from line 2034 (5 lines) @@ -2001,5 +2034,5 @@
       param-latex: $c$       number: '824510321926447093546313877261818663983605162371432054784'-  '24.071':+  '24.0719258334':     a:       param-latex: $a$
from line 2044 (5 lines) @@ -2011,5 +2044,5 @@
       param-latex: $c$       number: '645918268034832102287372667789938197913'-  '24.016':+  '24.0168472052':     a:       param-latex: $a$ 

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