$abc$-triples of high quality
edit on github · preview edits · show history · long url · abc conjecture number theory
Numbers
$q$
value
1.629911
$a$:
2
1.629911
$b$:
6436341
1.629911
$c$:
6436343
1.625990
$a$:
121
1.625990
$b$:
48234375
1.625990
$c$:
48234496
1.623490
$a$:
24833
1.623490
$b$:
5020969537415167
1.623490
$c$:
5020969537440000
1.580756
$a$:
283
1.580756
$b$:
8251953125
1.580756
$c$:
8251953408
1.567887
$a$:
1
1.567887
$b$:
4374
1.567887
$c$:
4375
1.547075
$a$:
343
1.547075
$b$:
59049
1.547075
$c$:
59392
1.544433
$a$:
2477678547239
1.544433
$b$:
613474843408551921511
1.544433
$c$:
613474845886230468750
1.536713
$a$:
125
1.536713
$b$:
11174240024064
1.536713
$c$:
11174240024189
1.526999
$a$:
611596453
1.526999
$b$:
5368709120
1.526999
$c$:
5980305573
1.522160
$a$:
20218313059443
1.522160
$b$:
121517356341481357
1.522160
$c$:
121537574654540800
1.509432
$a$:
188728275341281
1.509432
$b$:
30687043271724658719
1.509432
$c$:
30687232000000000000
1.503317
$a$:
10023806115968
1.503317
$b$:
236997656946088771
1.503317
$c$:
237007680752204739
1.502838
$a$:
239
1.502838
$b$:
1919140625
1.502838
$c$:
1919140864
1.497620
$a$:
198425
1.497620
$b$:
96889010407
1.497620
$c$:
96889208832
1.492431
$a$:
44
1.492431
$b$:
14087010572580078081
1.492431
$c$:
14087010572580078125
1.491590
$a$:
73
1.491590
$b$:
5973865915867136
1.491590
$c$:
5973865915867209
1.489245
$a$:
16777216
1.489245
$b$:
311385505409
1.489245
$c$:
311402282625
1.488865
$a$:
121
1.488865
$b$:
255879
1.488865
$c$:
256000
1.482910
$a$:
37
1.482910
$b$:
32768
1.482910
$c$:
32805
1.481322
$a$:
115966796875
1.481322
$b$:
9301344999072
1.481322
$c$:
9417311795947
1.480533
$a$:
8654525279998779296875
1.480533
$b$:
229727166528260169448321941
1.480533
$c$:
229735821053540168227618816
1.474449
$a$:
1
1.474449
$b$:
301327047
1.474449
$c$:
301327048
1.474137
$a$:
49
1.474137
$b$:
31640576
1.474137
$c$:
31640625
1.471298
$a$:
16119
1.471298
$b$:
214358881
1.471298
$c$:
214375000
1.465676
$a$:
5595907
1.465676
$b$:
184693744467968
1.465676
$c$:
184693750063875
1.465520
$a$:
13841287201
1.465520
$b$:
2271670157312
1.465520
$c$:
2285511444513
1.465274
$a$:
377933067
1.465274
$b$:
3972256707877558203125
1.465274
$c$:
3972256707877936136192
1.464604
$a$:
110330191652531040475
1.464604
$b$:
3651621299988620198933
1.464604
$c$:
3761951491641151239408
1.461923
$a$:
3200
1.461923
$b$:
4823609
1.461923
$c$:
4826809
1.460622
$a$:
464743623105438551
1.460622
$b$:
6045120559074418176746593449
1.460622
$c$:
6045120559539161799852032000
1.459424
$a$:
289111328125
1.459424
$b$:
1628886484491098486528
1.459424
$c$:
1628886484780209814653
1.457793
$a$:
115200578857421875
1.457793
$b$:
336192253411623744461
1.457793
$c$:
336307453990481166336
1.457789
$a$:
177978515625
1.457789
$b$:
10323603816448
1.457789
$c$:
10501582332073
1.457481
$a$:
96301474167
1.457481
$b$:
212192535400390625
1.457481
$c$:
212192631701864792
1.457065
$a$:
225
1.457065
$b$:
72596138768
1.457065
$c$:
72596138993
1.456202
$a$:
637534208
1.456202
$b$:
94573974609375
1.456202
$c$:
94574612143583
1.455673
$a$:
1
1.455673
$b$:
2400
1.455673
$c$:
2401
1.455126
$a$:
15944049
1.455126
$b$:
34359738368
1.455126
$c$:
34375682417
1.455024
$a$:
15144820879
1.455024
$b$:
304177737629696
1.455024
$c$:
304192882450575
1.454434
$a$:
15605316307
1.454434
$b$:
243890000000000
1.454434
$c$:
243905605316307
1.453343
$a$:
4826809
1.453343
$b$:
21094497145095066
1.453343
$c$:
21094497149921875
1.453195
$a$:
925190931432103
1.453195
$b$:
1133649264795189248
1.453195
$c$:
1134574455726621351
1.452613
$a$:
702021632
1.452613
$b$:
1977326743
1.452613
$c$:
2679348375
1.452000
$a$:
720077960137146368
1.452000
$b$:
121494451649631319056757
1.452000
$c$:
121495171727591456203125
1.451917
$a$:
25161368403091
1.451917
$b$:
570243460709396737065659
1.451917
$c$:
570243460734558105468750
1.451343
$a$:
1701
1.451343
$b$:
1046875
1.451343
$c$:
1048576
1.450858
$a$:
83349
1.450858
$b$:
5880651776
1.450858
$c$:
5880735125
1.450216
$a$:
146767394485224241
1.450216
$b$:
13669290314405085785446416384
1.450216
$c$:
13669290314551853179931640625
1.450097
$a$:
2704798098231340213727
1.450097
$b$:
2282915619421863094395648
1.450097
$c$:
2285620417520094434609375
1.450025
$a$:
1
1.450025
$b$:
63927525375
1.450025
$c$:
63927525376
1.449651
$a$:
1
1.449651
$b$:
20709375
1.449651
$c$:
20709376
1.449354
$a$:
2707160810382798173125
1.449354
$b$:
362056449426413786635575296
1.449354
$c$:
362059156587224169433748421
1.447977
$a$:
5203
1.447977
$b$:
265137564453125
1.447977
$c$:
265137564458328
1.447742
$a$:
89
1.447742
$b$:
1500512167
1.447742
$c$:
1500512256
1.447590
$a$:
129140163
1.447590
$b$:
6024036352000000
1.447590
$c$:
6024036481140163
1.447420
$a$:
393927551841835417600000
1.447420
$b$:
10704872737453891276395489673
1.447420
$c$:
10705266665005733111813089673
1.446873
$a$:
27982932961
1.446873
$b$:
43309818510835712
1.446873
$c$:
43309846493768673
1.446246
$a$:
55546875
1.446246
$b$:
6979321856
1.446246
$c$:
7034868731
1.445064
$a$:
338
1.445064
$b$:
390625
1.445064
$c$:
390963
1.444595
$a$:
292638540234375
1.444595
$b$:
272250614375973241
1.444595
$c$:
272543252916207616
1.444199
$a$:
137887744
1.444199
$b$:
10781034805381
1.444199
$c$:
10781172693125
1.443501
$a$:
995588
1.443501
$b$:
10358428955078125
1.443501
$c$:
10358428956073713
1.443306
$a$:
1
1.443306
$b$:
512000
1.443306
$c$:
512001
1.443284
$a$:
61731
1.443284
$b$:
48828125
1.443284
$c$:
48889856
1.442803
$a$:
1289066038662879404041
1.442803
$b$:
39453125000000000000000
1.442803
$c$:
40742191038662879404041
1.442013
$a$:
1249446765800288
1.442013
$b$:
1963592529296875
1.442013
$c$:
3213039295097163
1.441813
$a$:
22771715409
1.441813
$b$:
348972425216
1.441813
$c$:
371744140625
1.441775
$a$:
8387035209728
1.441775
$b$:
99252466918352690625
1.441775
$c$:
99252475305387900353
1.441518
$a$:
160412424963707
1.441518
$b$:
217634277343750000
1.441518
$c$:
217794689768713707
1.441440
$a$:
29791
1.441440
$b$:
3939110834
1.441440
$c$:
3939140625
1.440968
$a$:
42849
1.440968
$b$:
28629151
1.440968
$c$:
28672000
1.440263
$a$:
9244796845555712
1.440263
$b$:
87305465605616163
1.440263
$c$:
96550262451171875
1.439062
$a$:
1
1.439062
$b$:
19140624
1.439062
$c$:
19140625
1.438356
$a$:
1
1.438356
$b$:
2505572351
1.438356
$c$:
2505572352
1.438238
$a$:
14321927484375
1.438238
$b$:
101029508532509551847
1.438238
$c$:
101029522854437036222
1.438138
$a$:
7505629765697536
1.438138
$b$:
14887652467405109375
1.438138
$c$:
14895158097170806911
1.437859
$a$:
52832077950197
1.437859
$b$:
4373797760182125
1.437859
$c$:
4426629838132322
1.436544
$a$:
3929319027001
1.436544
$b$:
20925925864527593159
1.436544
$c$:
20925929793846620160
1.436180
$a$:
742586
1.436180
$b$:
3521116921
1.436180
$c$:
3521859507
1.435750
$a$:
162729
1.435750
$b$:
1042151581574097478352896
1.435750
$c$:
1042151581574097478515625
1.435005
$a$:
7168
1.435005
$b$:
78125
1.435005
$c$:
85293
1.434858
$a$:
104474391867
1.434858
$b$:
316478381828866048
1.434858
$c$:
316478486303257915
1.434151
$a$:
1013888
1.434151
$b$:
226092951133905625
1.434151
$c$:
226092951134919513
1.433956
$a$:
101391750713
1.433956
$b$:
8541701586764912
1.433956
$c$:
8541802978515625
1.433601
$a$:
139344708952637771
1.433601
$b$:
164883187567419514159104
1.433601
$c$:
164883326912128466796875
1.433463
$a$:
12397455648
1.433463
$b$:
2334834480015625
1.433463
$c$:
2334846877471273
1.433451
$a$:
1013875
1.433451
$b$:
64186132652918669
1.433451
$c$:
64186132653932544
1.433093
$a$:
37569208117
1.433093
$b$:
12721777397216796875
1.433093
$c$:
12721777434786004992
1.433042
$a$:
961
1.433042
$b$:
474609375
1.433042
$c$:
474610336
1.432904
$a$:
2097152
1.432904
$b$:
134777585793473
1.432904
$c$:
134777587890625
1.432347
$a$:
287965184
1.432347
$b$:
71693980398960997
1.432347
$c$:
71693980686926181
1.432320
$a$:
1670815292588032
1.432320
$b$:
1360104322866807375
1.432320
$c$:
1361775138159395407
1.432142
$a$:
8652390921
1.432142
$b$:
30896079667609079
1.432142
$c$:
30896088320000000
1.431814
$a$:
2063030309
1.431814
$b$:
2236779851677696
1.431814
$c$:
2236781914708005
1.431623
$a$:
8688792277309
1.431623
$b$:
10384694050816
1.431623
$c$:
19073486328125
1.431260
$a$:
2255797354496
1.431260
$b$:
73843744178785779
1.431260
$c$:
73845999976140275
1.431183
$a$:
2048
1.431183
$b$:
170732841741
1.431183
$c$:
170732843789
1.431091
$a$:
184832
1.431091
$b$:
3079178955793
1.431091
$c$:
3079179140625
1.430417
$a$:
193
1.430417
$b$:
16056027781250
1.430417
$c$:
16056027781443
1.430175
$a$:
7489872117
1.430175
$b$:
2297154668331008
1.430175
$c$:
2297162158203125
1.429915
$a$:
315380807
1.429915
$b$:
96840548010171460143
1.429915
$c$:
96840548010486840950
1.429873
$a$:
162678573828608
1.429873
$b$:
967560450839696875
1.429873
$c$:
967723129413525483
1.429552
$a$:
570807
1.429552
$b$:
217533001
1.429552
$c$:
218103808
1.429428
$a$:
8035237888
1.429428
$b$:
381439008360381125
1.429428
$c$:
381439016395619013
1.429007
$a$:
10460353203
1.429007
$b$:
17274491311
1.429007
$c$:
27734844514
1.428912
$a$:
82800367216340571
1.428912
$b$:
78295316104448477385125
1.428912
$c$:
78295398904815693725696
1.428908
$a$:
5329
1.428908
$b$:
65876535296
1.428908
$c$:
65876540625
1.428401
$a$:
67138671875
1.428401
$b$:
519730440957
1.428401
$c$:
586869112832
1.428361
$a$:
707281
1.428361
$b$:
238726341441404928
1.428361
$c$:
238726341442112209
1.428323
$a$:
11
1.428323
$b$:
9565927
1.428323
$c$:
9565938
1.427566
$a$:
73
1.427566
$b$:
3969746099
1.427566
$c$:
3969746172
1.427488
$a$:
13845841
1.427488
$b$:
497860496850944
1.427488
$c$:
497860510696785
1.427115
$a$:
59049
1.427115
$b$:
132590423
1.427115
$c$:
132649472
1.426752
$a$:
31
1.426752
$b$:
112812500000
1.426752
$c$:
112812500031
1.426565
$a$:
3
1.426565
$b$:
125
1.426565
$c$:
128
1.425727
$a$:
61677818554527009
1.425727
$b$:
11320974204017382972991
1.425727
$c$:
11321035881835937500000
1.425181
$a$:
8251953125
1.425181
$b$:
5925963089217250048
1.425181
$c$:
5925963097469203173
1.424607
$a$:
108582141952
1.424607
$b$:
3412675793515625
1.424607
$c$:
3412784375657577
1.423406
$a$:
6566485948342272
1.423406
$b$:
754264929015760642103
1.423406
$c$:
754271495501708984375
1.423380
$a$:
275
1.423380
$b$:
4831837933
1.423380
$c$:
4831838208
1.423191
$a$:
557832031250
1.423191
$b$:
126612145087527382220763
1.423191
$c$:
126612145088085214252013
1.423086
$a$:
749502843041820983
1.423086
$b$:
2964660052322998046875
1.423086
$c$:
2965409555166039867858
1.422876
$a$:
1696555248485695128859
1.422876
$b$:
386984662267854848000000
1.422876
$c$:
388681217516340543128859
1.422606
$a$:
8466594201171275
1.422606
$b$:
77680637267625423929344
1.422606
$c$:
77680645734219625100619
1.422082
$a$:
2215457
1.422082
$b$:
315103974609375
1.422082
$c$:
315103976824832
1.422015
$a$:
12304697054518521
1.422015
$b$:
6350779162034176000
1.422015
$c$:
6363083859088694521
1.421827
$a$:
944
1.421827
$b$:
4638671875
1.421827
$c$:
4638672819
1.421575
$a$:
78125
1.421575
$b$:
27217619
1.421575
$c$:
27295744
1.421378
$a$:
72402135
1.421378
$b$:
109048965991846471808
1.421378
$c$:
109048965991918873943
1.421370
$a$:
1218826949
1.421370
$b$:
1403221060546875
1.421370
$c$:
1403222279373824
1.421045
$a$:
549755813888
1.421045
$b$:
7136675045487
1.421045
$c$:
7686430859375
1.421008
$a$:
2308155904
1.421008
$b$:
1191744140625
1.421008
$c$:
1194052296529
1.420813
$a$:
1293862733719
1.420813
$b$:
38084983750656
1.420813
$c$:
39378846484375
1.420751
$a$:
1580506708975616
1.420751
$b$:
120887352505699423
1.420751
$c$:
122467859214675039
1.420582
$a$:
223270703038574259899031
1.420582
$b$:
649307365977022004946459915625
1.420582
$c$:
649307589247725043520719814656
1.420437
$a$:
109531219
1.420437
$b$:
1121484800
1.420437
$c$:
1231016019
1.420320
$a$:
1594323
1.420320
$b$:
51905822720000
1.420320
$c$:
51905824314323
1.420232
$a$:
19177936109568
1.420232
$b$:
1490096941448656057
1.420232
$c$:
1490116119384765625
1.420035
$a$:
12167
1.420035
$b$:
47669765625
1.420035
$c$:
47669777792
1.419559
$a$:
13651536370466816
1.419559
$b$:
875615065424903125
1.419559
$c$:
889266601795369941
1.419292
$a$:
178409449
1.419292
$b$:
39056396484375
1.419292
$c$:
39056574893824
1.419183
$a$:
44790692380548068359375
1.419183
$b$:
3417300183328464869570036529
1.419183
$c$:
3417344974020845417638395904
1.418919
$a$:
49
1.418919
$b$:
4294049792
1.418919
$c$:
4294049841
1.418233
$a$:
45487
1.418233
$b$:
549755813888
1.418233
$c$:
549755859375
1.417633
$a$:
25140625
1.417633
$b$:
5380189641216
1.417633
$c$:
5380214781841
1.416793
$a$:
1564936281
1.416793
$b$:
6497802734375
1.416793
$c$:
6499367670656
1.416437
$a$:
95909154101
1.416437
$b$:
475040090845899
1.416437
$c$:
475136000000000
1.416276
$a$:
4838491612679
1.416276
$b$:
4194304000000000
1.416276
$c$:
4199142491612679
1.416077
$a$:
237733901233676217
1.416077
$b$:
1907348632812500000000
1.416077
$c$:
1907586366713733676217
1.416051
$a$:
1123125
1.416051
$b$:
861420838091
1.416051
$c$:
861421961216
1.415829
$a$:
312785683886639043920000
1.415829
$b$:
521510164210797278536573
1.415829
$c$:
834295848097436322456573
1.415758
$a$:
383472442626953125
1.415758
$b$:
474929701248378601472
1.415758
$c$:
475313173691005554597
1.415701
$a$:
3005846374259060721
1.415701
$b$:
4926054421161533193359375
1.415701
$c$:
4926057427007907452420096
1.415632
$a$:
1618481116086272
1.415632
$b$:
49531553975772309375
1.415632
$c$:
49533172456888395647
1.415561
$a$:
343
1.415561
$b$:
220947265625
1.415561
$c$:
220947265968
1.415273
$a$:
839523
1.415273
$b$:
37841796875
1.415273
$c$:
37842636398
1.415089
$a$:
12130039035706446400
1.415089
$b$:
3236730094578268688481
1.415089
$c$:
3248860133613975134881
1.414957
$a$:
11745463940603527909
1.414957
$b$:
1092734360998619466244472091
1.414957
$c$:
1092734372744083406848000000
1.414570
$a$:
8168354035667660710457
1.414570
$b$:
201889741674926757812500000
1.414570
$c$:
201897910028962425473210457
1.414502
$a$:
110716875
1.414502
$b$:
533239861
1.414502
$c$:
643956736
1.414351
$a$:
654071044921875
1.414351
$b$:
272467777455915008
1.414351
$c$:
273121848500836883
1.413697
$a$:
43840
1.413697
$b$:
4782969
1.413697
$c$:
4826809
1.413279
$a$:
25
1.413279
$b$:
4804839
1.413279
$c$:
4804864
1.413166
$a$:
798386015151
1.413166
$b$:
41426511213649
1.413166
$c$:
42224897228800
1.412893
$a$:
9529
1.412893
$b$:
343472006670834375
1.412893
$c$:
343472006670843904
1.412833
$a$:
226528683441437300000
1.412833
$b$:
61205917571030987668745001
1.412833
$c$:
61206144099714429106045001
1.412723
$a$:
273107879572591
1.412723
$b$:
2737390021480156653158400
1.412723
$c$:
2737390021753264532730991
1.412680
$a$:
5
1.412680
$b$:
177147
1.412680
$c$:
177152
1.412579
$a$:
916042593694120132608
1.412579
$b$:
179239666784997133807373046875
1.412579
$c$:
179239667701039727501493179483
1.412347
$a$:
3463816043689
1.412347
$b$:
14552958405387161183956311
1.412347
$c$:
14552958405390625000000000
1.412297
$a$:
99794037551104
1.412297
$b$:
67077806999235503464521
1.412297
$c$:
67077807099029541015625
1.412275
$a$:
451653333125
1.412275
$b$:
25356726024605563
1.412275
$c$:
25357177677938688
1.412090
$a$:
55204820542052128964537745408
1.412090
$b$:
183636889121597576688232421875
1.412090
$c$:
238841709663649705652770167283
1.411854
$a$:
4345425424281887
1.411854
$b$:
1029781597292737855488
1.411854
$c$:
1029785942718162137375
1.411682
$a$:
493039
1.411682
$b$:
20841789969
1.411682
$c$:
20842283008
1.411663
$a$:
8395623084589056
1.411663
$b$:
58051366403345341072225
1.411663
$c$:
58051374798968425661281
1.411614
$a$:
531843
1.411614
$b$:
49470876424339456
1.411614
$c$:
49470876424871299
1.411435
$a$:
15094873017
1.411435
$b$:
17075087819812145408
1.411435
$c$:
17075087834907018425
1.410909
$a$:
6979321856
1.410909
$b$:
950444775390625
1.410909
$c$:
950451754712481
1.410829
$a$:
9194653
1.410829
$b$:
110437370774787
1.410829
$c$:
110437379969440
1.410682
$a$:
10769111
1.410682
$b$:
1953114230889
1.410682
$c$:
1953125000000
1.410323
$a$:
2148627732468125
1.410323
$b$:
46927801441732859226832
1.410323
$c$:
46927803590360591694957
1.410220
$a$:
31117999167337103924704
1.410220
$b$:
75929189120022207165685625
1.410220
$c$:
75960307119189544269610329
1.410044
$a$:
17383783735296
1.410044
$b$:
1603862554155329
1.410044
$c$:
1621246337890625
1.409742
$a$:
244140625
1.409742
$b$:
4089424498444760292
1.409742
$c$:
4089424498688900917
1.409448
$a$:
504423766399592448
1.409448
$b$:
1461920290375446110677
1.409448
$c$:
1462424714141845703125
1.409086
$a$:
2753424041748046875
1.409086
$b$:
30702478641325637862373
1.409086
$c$:
30705232065367385909248
1.409011
$a$:
828852072215803849
1.409011
$b$:
22965088066126384196151
1.409011
$c$:
22965916918198600000000
1.409008
$a$:
2401
1.409008
$b$:
5006485372272639997599
1.409008
$c$:
5006485372272640000000
1.408972
$a$:
49
1.408972
$b$:
3939040643
1.408972
$c$:
3939040692
1.408866
$a$:
4096
1.408866
$b$:
92280113398824669
1.408866
$c$:
92280113398828765
1.408577
$a$:
743328586
1.408577
$b$:
3195854674394466023
1.408577
$c$:
3195854675137794609
1.407786
$a$:
52
1.407786
$b$:
7192700526683
1.407786
$c$:
7192700526735
1.407707
$a$:
1025227
1.407707
$b$:
191008735430507276015771648
1.407707
$c$:
191008735430507276016796875
1.407583
$a$:
2228489292542918629
1.407583
$b$:
156726992915709034496
1.407583
$c$:
158955482208251953125
1.407404
$a$:
2097
1.407404
$b$:
292300859799503
1.407404
$c$:
292300859801600
1.407214
$a$:
5851561
1.407214
$b$:
1152904782137468708439
1.407214
$c$:
1152904782137474560000
1.407208
$a$:
241
1.407208
$b$:
6122304000000
1.407208
$c$:
6122304000241
1.407149
$a$:
1843501145680799
1.407149
$b$:
17181861798319201
1.407149
$c$:
19025362944000000
1.407050
$a$:
3208329
1.407050
$b$:
240932296
1.407050
$c$:
244140625
1.406808
$a$:
8102543229725283
1.406808
$b$:
124765984522712477
1.406808
$c$:
132868527752437760
1.406524
$a$:
40353607
1.406524
$b$:
1544765625
1.406524
$c$:
1585119232
1.406419
$a$:
25916008300544
1.406419
$b$:
42234039306640625
1.406419
$c$:
42259955314941169
1.406306
$a$:
2162163712
1.406306
$b$:
6779653503836817713
1.406306
$c$:
6779653505998981425
1.406217
$a$:
38788923392
1.406217
$b$:
18285686952032983
1.406217
$c$:
18285725740956375
1.406096
$a$:
190775296
1.406096
$b$:
703096443
1.406096
$c$:
893871739
1.406080
$a$:
2546698687
1.406080
$b$:
536288131913631160646
1.406080
$c$:
536288131916177859333
1.406078
$a$:
245
1.406078
$b$:
13436683
1.406078
$c$:
13436928
1.405784
$a$:
2197
1.405784
$b$:
700928
1.405784
$c$:
703125
1.405443
$a$:
4076863488
1.405443
$b$:
43096503095
1.405443
$c$:
47173366583
1.405335
$a$:
420707233300201
1.405335
$b$:
2095497085117617283137815
1.405335
$c$:
2095497085538324516438016
1.405106
$a$:
329354754172130421
1.405106
$b$:
302136206079091796875
1.405106
$c$:
302465560833263927296
1.404870
$a$:
254323883056640625
1.404870
$b$:
34615640656789556623
1.404870
$c$:
34869964539846197248
1.404796
$a$:
397140968153984375
1.404796
$b$:
13019082321782723209
1.404796
$c$:
13416223289936707584
1.404484
$a$:
631
1.404484
$b$:
282192773120
1.404484
$c$:
282192773751
1.404448
$a$:
31541166080000
1.404448
$b$:
1332406275496395695019
1.404448
$c$:
1332406307037561775019
1.404264
$a$:
1
1.404264
$b$:
189999999
1.404264
$c$:
190000000
1.403980
$a$:
55419921875
1.403980
$b$:
36773422280571648
1.403980
$c$:
36773477700493523
1.403958
$a$:
2027349
1.403958
$b$:
908673093675776
1.403958
$c$:
908673095703125
1.403482
$a$:
351
1.403482
$b$:
49433168224
1.403482
$c$:
49433168575
1.403083
$a$:
1411792877634228
1.403083
$b$:
1718264124282290785243
1.403083
$c$:
1718265536075168419471
1.402863
$a$:
466157462602565
1.402863
$b$:
1152555465850611322179121
1.402863
$c$:
1152555466316768784781686
1.402737
$a$:
2809704591
1.402737
$b$:
4969357133350734659584
1.402737
$c$:
4969357133353544364175
1.402441
$a$:
16135602594748416
1.402441
$b$:
109796994024546109709
1.402441
$c$:
109813129627140858125
1.402182
$a$:
8303765625
1.402182
$b$:
38779816327
1.402182
$c$:
47083581952
1.401993
$a$:
3643798828125
1.401993
$b$:
27023341407139
1.401993
$c$:
30667140235264
1.401979
$a$:
42949672960
1.401979
$b$:
215861233533939
1.401979
$c$:
215904183206899
1.401895
$a$:
10888990400037112340748947
1.401895
$b$:
313598822099962887659251053
1.401895
$c$:
324487812500000000000000000
1.401717
$a$:
127647488
1.401717
$b$:
265151944808297265625
1.401717
$c$:
265151944808424913113
1.401684
$a$:
1235912557887
1.401684
$b$:
1747540194145840087890625
1.401684
$c$:
1747540194147076000448512
1.401418
$a$:
14799155625
1.401418
$b$:
501133790807
1.401418
$c$:
515932946432
1.401291
$a$:
4194304
1.401291
$b$:
86749588500071
1.401291
$c$:
86749592694375
1.401270
$a$:
1152539369527
1.401270
$b$:
11160094631779328
1.401270
$c$:
11161247171148855
1.401261
$a$:
534317814063
1.401261
$b$:
9904578032905937
1.401261
$c$:
9905112350720000
1.401189
$a$:
1
1.401189
$b$:
424808316456140799
1.401189
$c$:
424808316456140800
1.401155
$a$:
3758096384
1.401155
$b$:
85720118856741
1.401155
$c$:
85723876953125
1.400811
$a$:
1410678481
1.400811
$b$:
834892602677119
1.400811
$c$:
834894013355600
1.400588
$a$:
28561
1.400588
$b$:
11175694447
1.400588
$c$:
11175723008
1.400316
$a$:
130606940160
1.400316
$b$:
20989530528127
1.400316
$c$:
21120137468287
1.400261
$a$:
24257659912109375
1.400261
$b$:
37739682086774337
1.400261
$c$:
61997341998883712
1.400041
$a$:
83521
1.400041
$b$:
501636678168150854
1.400041
$c$:
501636678168234375
Definition
The list contains all known $abc$-triples quality at least $1.4$, as givin in [2]. An $abc$-triple is a solution of the equation $a+b=c$ with coprime integers $0 < a \leq b < c$. The quality of an $abc$-triple is defined as $q = \log(c)/\log\text{rad}(abc)$, where $\text{rad}(abc)$ is the radical of $abc$, that is, the product over all prime divisors of $abc$.
Parameters
$q$
—   real number ($q > 1.4$)
Comments
(1)
The abc-conjecture [3] states that $\limsup q = 1$, that is, for every $\varepsilon > 0$ there are only finitely many $abc$-triples of quality $q > 1+\varepsilon$.
Links
Data properties
Numbers are of type: integer
Table is complete: unknown
Sources of data: [2] and the references therein
Reliability: The quality $q$ is correct up to one ulp (unit of least precision); see https://www.numberdb.org/help#section-number-types.