Data collected so far

We found 23827716 ABC triples so far.

In March 2011 we almost completed our exhaustive search for all ABC triples (a,b,c) with a < b < c < 10^18. In November 2011 we discovered that some parts of the search space were not covered and we found 6 more triples. The total number is 14482065, and we are still running final checks to make sure this list is complete. The compressed file triples_below_1018_revised.gz (178.76 MB, 2011-11-07 20:55) contains the numbers c and a on a separate line for each ABC triple a+b=c we found. Please note that, for now, this data is provided on a preliminary basis since we are not fully sure it is complete. See this table for counts according to size and quality.

We are currently continuing with a slightly bigger search for all ABC triples (a,b,c) with c no more than 2^63. The 9345651 triples with c at least 10^18 that we found so far are in the file big_triples.gz (132.31 MB, 2014-07-29 23:35 UTC)

Daily totals

This is a list of the number of triples found each day. The wide fluctuations are due to the fact that certain areas in the search space are more rich in triples than others.

20140212197
2014012812512
201401218315
201401136513
201401099603
201401085821
201401055887
2014010414806
2014010310946
201401025575
201312295617
2013122816547
2013122731836
2013122611078
2013122517892
2013122414005
201312236003
2013122227681
2013122117234
201312204726
2013121923114
2013121816113
2013121734937
2013121652632
2013121558370
2013121443384
2013121361104
2013121242713
2013121127411
2013121010267
2013120910166
2013120816058
2013120734521
2013120619767
2013120516020
2013120420273
2013120337934
2013120213260
201312014077
2013112313691
201311197021
2013111812036
2013111310747
201311115213
201311095191
201311085130
201311074767
201311067845
2013110531922
2013110411167
201311025886
2013110110351
201310314966
2013103011486
201310295011
201310284823
201310275199
201310269623
2013102510694
2013102415621
2013102314067
201310196161
201310186798
201310165587
201310106084
201310035644
201310015914
201309285348
2013092413406
201309235494
2013092211684
2013092017048
2013091924635
2013091823320
2013091710474
201309165068
201309158884
2013091410847
2013091327791
2013091213436
2013091118136
2013091014987
2013090916480
2013090827192
2013090738759
2013090656098
2013090543403
201309048278
201308318067
201308306828
201308288017
201308275855
2013082528385
201308245400
201308239763
2013082210370
201308209868
2013081927948
201308185620
2013081738270
2013081610740
201308154919
2013081411053
2013081320958
2013081215146
2013081110593
2013081028740
2013080933301
201308088836
201308076115
201308068463
201308047814
201308035026
201308025448
201308015796
2013073116916
2013073016740
201307286436
201307275213
2013072610702
201307259715
201307249987
2013072332576
2013072218342
2013072115030
2013072025635
2013071910253
2013071841498
201307179443
2013071631407
2013071511067
2013071422876
2013071321897
2013071214371
2013071123616
2013071014546
201307096290
201307057033
201307048116
201306297108
201306275990
201306256097
2013062115641
201306188229
201306156132
201306147613
2013061311063
2013061291239
2013061126532
2013060913398
201306085167
2013060610664
2013060512087
2013060410339
2013060328338
2013060219762
2013060131942
2013053141873
2013053049725
2013052936554
2013052814782
2013052718669
201305265505
201305256891
2013052412024
2013052324612
2013052226249
2013052121106
2013052015673
2013051929585
2013051833343
2013051755201
2013051656545
2013051538992
2013051411268
201305139438
2013051213662
201305106336
201305095423
201305085174
2013050711538
2013050615558
2013050413003
2013050311784
201305029990
2013050121156
2013043025720
2013042913807
201304277630
2013042512279
201304249363
2013042115620
201304205873
201304194748
2013041733582
201304167890
201304155260
2013041410964
2013041310451
2013041212994
201304118956
201304105950
201304094913
201304085128
2013040710035
2013040613818
201304055162
201303235810
2013031512130
201303145193
201303126000
2013030816455
201303075660
2013030513673
2013030410987
2013030315114
2013030225914
201303019339
2013022823369
201302274851
201302217287
201302205905
2013021912994
2013021815021
2013021711303
2013021618471
201302155139
2013021412906
2013021322443
2013021212735
2013021121530
2013021010591
2013020911023
2013020810418
2013020723165
2013020622328
2013020532005
2013020466035
2013020372267
2013020237575
2013020113146
201301315735
201301305445
2013012911925
2013012810246
201301274564
201301265088
201301259251
2013012415969
201301235275
2013012211172
2013012111008
2013012047754
2013011916361
2013011843695
2013011742960
2013011658712
2013011597847
2013011466558
2013011347858
2013011220362
201301115596
2013011017095
2013010911369
2013010822859
2013010724431
2013010633341
2013010527113
2013010469189
2013010388190
2013010265700
2013010130798
2012123115770
201212306742
201212295340
2012122815461
2012122715398
2012122612269
2012122534656
2012122415911
2012122371319
2012122245371
2012122148860
2012122051999
2012121928342
2012121812298
201212176039
201212167265
2012121511179
2012121412579
201212135783
2012121225442
2012121123335
2012121025029
2012120925747
2012120838627
2012120785930
2012120655313
2012120537573
2012120427954
2012120316899
2012120226294
2012120115974
2012113014819
201211295966
2012112825352
2012112721829
2012112612554
2012112525287
2012112447866
2012112332194
2012112233175
2012112161741
2012112061191
2012111962907
2012111845239
2012111738533
2012111617684
201211155744
201211136634
201211116712
201211099202
201211076131
201211066096
201211055232
2012110419504
2012110310965
201211025242
2012110121761
2012103116497
2012103014933
2012102929112
2012102818586
2012102721912
2012102611967
2012102517118
2012102412287
2012102319112
2012102225598
2012102116042
2012102031344
2012101973814
2012101852645
2012101760499
2012101643957
2012101569783
2012101469662
2012101340576
2012101238821
2012101137060
2012101017840
2012100916832
2012100816175
2012100721233
2012100626519
2012100538148
2012100464211
2012100346224
2012100241505
2012100136929
2012093021735
201209221
201209131
201209114
201209093
201209084
201209066
201209046
201209035
201209024
201209016
201208317
201208307
2012082912
2012082814
2012082718
2012082621
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2012082332
2012082243
2012082141
2012082044
2012081929
2012081839
2012081737
2012081642
2012081532
2012081452
2012081325
2012081243
2012081134
2012081053
2012080965
2012080838
2012080761
2012080645
2012080535
2012080470
2012080351
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2012080167
2012073157
20120730105
2012072988
20120728101
2012072783
20120726139
20120725100
20120724167
20120723100
20120722158
20120721110
20120720204
20120719153
20120718221
20120717121
20120716140
20120715253
20120714178
20120713188
20120712281
20120711189
20120710287
20120709203
20120708212
20120707321
20120706240
20120705238
20120704386
20120703268
20120702257
20120701403
20120630287
20120629300
20120628457
20120627327
20120626332
20120625536
20120624326
20120623548
20120622382
20120621390
20120620612
20120619416
20120618655
20120617455
20120616744
20120615507
20120614528
20120613825
20120612568
20120611887
20120610597
20120609893
20120608954
20120607962
201206061053
201206051095
201206041125
201206031168
201206021249
201206011224
201205311320
201205302135
201205291436
201205282033
201205271655
201205261718
201205252309
201205241752
201205232407
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201205212558
201205202509
201205192609
201205182742
201205173380
201205162769
201205152884
201205143709
201205133067
201205123157
201205114082
201205104056
201205094280
201205084281
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201205064601
201205054642
201205045939
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201204286693
201204278242
201204268343
201204258256
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201204239962
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2012042110297
2012042010017
201204198879
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201204178284
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201204063706
201204054477
201204044444
201204032991
201204024225
201204013637
201203313630
201203303769
201203294256
201203283727
201203272893
201203262841
201203251520
201203242928
201203233534
201203223728
201203213689
201203202992
201203193625
201203183659
201203172959
201203163818
201203153738
201203142896
201203133795
201203123038
201203113707
201203103095
201203093749
201203083192
201203073063
201203063665
201203053192
201203043145
201203033121
201203023044
201203013199
201202293127
201202283137
201202274014
201202263249
201202253142
201202243149
201202233957
201202223230
201202214146
201202203286
201202194203
201202183357
201202174089
201202163409
201202154324
201202143340
201202134214
201202123278
201202113370
201202103576
201202094413
201202083478
201202073407
201202063514
201202053469
201202043525
201202034597
201202023617
201202013565
201201313798
201201303665
201201293635
201201282784
201201272784
201201263714
201201253799
201201243625
201201232785
201201223740
201201213746
201201203882
201201193677
201201183884
201201173797
201201162829
201201153879
201201144012
201201133832
201201123927
201201113875
201201104052
201201093966
201201083876
201201074052
201201063936
201201055036
201201043057
201201034038
201201023987
201201014017
201112314011
201112303055
201112295371
201112284178
201112274111
201112264110
201112253054
201112244429
201112234170
201112224127
201112214590
201112204220
201112195381
201112184378
201112174363
201112165509
201112154371
201112144375
201112135728
201112124495
201112115661
201112104694
201112094346
201112084429
201112074657
201112064650
201112054461
201112044738
201112034795
201112024758
201112014745
201111304678
201111294746
201111285929
201111273622
201111264768
201111254906
201111243639
201111234996
201111224651
201111215027
201111203689
201111195047
201111183687
201111174986
201111165022
201111153898
201111145042
201111133811
201111125146
201111113830
201111105160
201111093879
201111085009
201111074021
201111065287
201111053928
201111045311
201111035332
201111024067
201111016603
201110315268
201110303942
201110295169
201110284090
201110275257
201110265381
201110254151
201110245372
201110235621
201110224221
201110215455
201110205369
201110194257
201110185654
201110175698
201110164142
201110155550
201110144184
201110135682
201110125789
201110114181
201110105641
201110095687
201110085783
201110074256
201110065864
201110056066
201110044442
201110035858
201110024590
201110014478
201109306015
201109294394
201109285925
201109276058
201109264524
201109256169
201109244487
201109236101
201109226051
201109215996
201109204709
201109196017
201109184796
201109176237
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201109156044
201109144771
201109136259
201109126191
201109114906
201109106345
201109094861
201109086383
201109076338
201109064816
201109056396
201109044927
201109034816
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201108195094
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201108095360
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201108017117
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201107305312
201107297176
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