CRUS Top 20 Page

Last update: Sun 22 Dec 2024 16:30 CST

Script created by Vassilis Modes with updates by Mark Rodenkirch
Based on pages compiled by Gary Barnes

Top 20 Unproven Conjectures by N
Top 20 Unproven Conjectures by Decimal Length
Top 20 Conjectures with 1k Remaining by Highest Weight
Top 20 Conjectures with 1k Remaining by Lowest Weight
Top 20 Conjectures Tested to at least n=10K by Highest Conjectured k
Top 20 Conjectures Tested to at least n=100K by Highest Conjectured k
Top 20 Conjectures Tested to at least n=10K by Most Remaining k
Top 20 Conjectures Tested to at least n=100K by Most Remaining k
Top 20 Conjectures with 1k Remaining by Highest Conjectured k
Top 20 Conjectures with 1k Remaining by Lowest Conjectured k
Top 20 Conjectures with 2k Remaining by Highest Conjectured k
Top 20 Conjectures with 2k Remaining by Lowest Conjectured k
Top 20 Conjectures with 3k Remaining by Highest Conjectured k
Top 20 Conjectures with 3k Remaining by Lowest Conjectured k

Color legend: reserved by a user reserved by a project reserved by a user and a project some k reserved, some k available all k available

Top 20 Unproven Conjectures by N

RieselSierpinski
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
25092034310M100000003010300
2 odd-n172677410M100000003010300
2 even-n39939210M100000003010300
68468718.1M81000006303026
2 2nd-c762701248M80000002408240
5346802525M50000003494851
43993955M50000003010300
2780415M50000007156819
22446115M50000006712114
101017615M50000005000001
2347613.2M32000004357530
3113471813M30000004474086
366210912M20000005126963
1633965142M20000002408240
10252011.075M10750003236529
96740811M10000002985427
943911M10000001973128
9361211M10000001968483
8025321M10000001903090
8008811M10000002903090
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557542.2M4220000012703466
2 odd-n95283310M100000003010300
2 2nd-c2711291710M100000003010300
5159986285M50000003494851
46674165M50000003010300
1727815M50000006152245
10917515M50000005000001
6174308104M40000003112606
2753813M30000004294092
2622122M20000002829947
1551411.875M18750004106872
75408611.3M13000002437580
46820211.3M13000003471320
2127041.3M13000003024237
1284411.2857M12857002709240
8727411M10000001939520
8757411M10000002942009
862811M10000001934499
85320411M10000002930950
7401411M10000002869232

Top 20 Unproven Conjectures by Decimal Length

RieselSierpinski
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
2780415M50000007156819
22446115M50000006712114
68468718.1M81000006303026
366210912M20000005126963
101017615M50000005000001
3113471813M30000004474086
2347613.2M32000004357530
5346802525M50000003494851
10252011.075M10750003236529
102910411M10000003012416
43993955M50000003010300
25092034310M100000003010300
2 odd-n172677410M100000003010300
2 even-n39939210M100000003010300
10248111M10000003010300
96740811M10000002985427
8008811M10000002903090
7463411M10000002872739
71218511M10000002852480
6362711M10000002803458
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557542.2M4220000012703466
1727815M50000006152245
10917515M50000005000001
2753813M30000004294092
1551411.875M18750004106872
5159986285M50000003494851
46820211.3M13000003471320
6174308104M40000003112606
2127041.3M13000003024237
46674165M50000003010300
2 odd-n95283310M100000003010300
2 2nd-c2711291710M100000003010300
8757411M10000002942009
85320411M10000002930950
7401411M10000002869232
2622122M20000002829947
5786831M10000002761928
520100611M10000002716004
5121811M10000002709270
1284411.2857M12857002709240

Top 20 Conjectures with 1k Remaining by Highest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
1231542427581M10000002089906
33238182502800K8000002016911
311347185575823093M30000004474086
70275322216600K6000001707803
87934242118600K6000001766394
496638572063600K6000001617290
7301711701976600K6000001717994
505714681919600K6000001621975
5819821856600K6000001658506
233141018431M10000002367356
63627917581M10000002803458
18130016817391M10000002257679
1091448417321M10000002037427
2531904185416661M10000002403121
80088816521M10000002903090
326110501642800K8000002010575
133368492615701M10000002123852
96740824215091M10000002985427
611118101494600K6000001671625
27522414721M10000002439333
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
7815283702853600K6000001735591
914422107400K4000001184379
37924615620521M10000002578640
864174742012600K6000001761909
256122183119991M10000002408240
1484471236118101M10000002170262
93514101795400K4000001188325
15514417381.875M18750004106872
7841561511697600K6000001736590
40292611665600K6000001562536
605100701614618K6180001719125
10093041441607500K5000001501946
72420491573600K6000001715844
417561015691M10000002620137
720104131521600K6000001714400
520100636914871M10000002716004
96816111470400K4000001194351
2941196114401M10000002468348
736133121431600K6000001720127
883324661390600K6000001767577

Top 20 Conjectures with 1k Remaining by Lowest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
68468715972728.1M81000006303026
3181441223091M10000002502428
4581611343800K8000002128693
34728224021M10000002540330
67314422284401M10000001826075
9581748441815K8150002429813
3737418452600K6000001543026
712185474741M10000002852480
867928475600K6000001762812
610753234519600K6000001671198
101017644215715M50000005000001
234764045803.2M32000004357530
549346610600K6000001643744
662147638600K6000001692515
6881059641600K6000001702554
5338874690600K6000001636037
39887761600K6000001559930
1601831167691M10000002204120
278047067705M50000007156819
7433214770600K6000001722594
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
75408613122211.3M13000002437580
304121602281M10000002482874
22720182421M10000002356026
10917576662635M50000005000001
1822382691M10000002260072
2631082981M10000002419956
172782443345M50000006152245
87274323421M10000001939520
259144643911M10000002413300
4281083971M10000002631444
1404684351M10000002146129
866168440600K6000001762511
40168204561M10000002603145
4302241315321483600K6000001580082
6387032497600K6000001682893
758108501600K6000001727802
828128529600K6000001750819
373120108547800K8000002057368
917162549600K6000001777422
353168613800K8000002038220

Top 20 Conjectures Tested to at least n=10K by Highest Conjectured k

RieselSierpinski
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
36306464493898855100K10000047713
6318725866617733025K2500044984
661019547725926025K2500045489
7159745298633210K1000028544
5186325341043225K2500042690
5615975464501810K1000027490
6514965144675410K1000028136
12437304495445010K1000020935
2013669230976925K2500057580
3853449490221425K2500064637
4033865171117100K100000160206
1262767077453225K2500052510
1302443673411525K2500052849
1962215067199225K2500057307
34621194751041910K1000025391
4272080614889510K1000026305
7919659964993100K100000189763
7051881842880410K1000028482
3911820454498910K1000025922
1061626615590100K100000202531
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
312505097608636959750K5000023857
63375658683344625K2500044984
6621314443884050K5000090978
1015120796062181610K1000030065
37575099882438110K1000025741
316360528503100K100000149137
5616290186524910K1000027490
5151835823972100K100000170758
20146137821559410K1000023032
6514541342634010K1000028136
3853301264207025K2500064637
1903146151474910K1000022788
1962730222251825K2500057307
4202288555395850K50000131163
7922125165594100K100000189763
18016796791173710K1000022553
3611671172549310K1000025576
5471658658506310K1000027380
2261547460804110K1000023542
2671343016372825K2500060663

Top 20 Conjectures Tested to at least n=100K by Highest Conjectured k

RieselSierpinski
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
36306464493898855100K10000047713
4033865171117100K100000160206
7919659964993100K100000189763
1061626615590100K100000202531
3913525342134100K100000159107
191119866811160K160000204601
2 2nd-c762701248M80000002408240
190626861274100K100000227876
25092034310M100000003010300
331470030486100K100000251983
151349922365320K320000697273
5346802525M50000003494851
2534680275600K600000838765
59529189091100K100000277452
35287860418100K100000154407
316287520175100K100000249969
145257324120100K100000216137
9122905826500K500000979521
255205022287100K100000240655
2 odd-n172677410M100000003010300
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
316360528503100K100000149137
5151835823972100K100000170758
7922125165594100K100000189763
40826477238100K100000160206
19765174496250K250000319689
106495090184100K100000202531
145430482264100K100000216137
2223893591235100K100000234636
96353081387100K100000198228
59530112890100K100000277452
316287520145100K100000249969
331280458253100K100000251983
2 2nd-c2711291710M100000003010300
771264218202100K100000288706
2526263864800K8000001118353
23125174895100K100000236362
35214018325100K100000154407
391206662247100K100000259218
78186123120100K100000189210
10518163251100K100000202119

Top 20 Conjectures Tested to at least n=10K by Most Remaining k

RieselSierpinski
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
6318725866617733025K2500044984
36306464493898855100K10000047713
661019547725926025K2500045489
12437304495445010K1000020935
10129461431638910K1000030052
6245698191196710K1000027952
5186325341043225K2500042690
34621194751041910K1000025391
9131368714992810K1000029605
2013669230976925K2500057580
4272080614889510K1000026305
7051881842880410K1000028482
1008623563855610K1000030035
933389944811610K1000029699
6731617938810410K1000028281
478370268757110K1000026795
8471357806729810K1000029279
6514965144675410K1000028136
9551333860672410K1000029801
763925778659410K1000028826
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
312505097608636959750K5000023857
63375658683344625K2500044984
37575099882438110K1000025741
1015120796062181610K1000030065
20146137821559410K1000023032
18016796791173710K1000022553
4785230691065010K1000026795
8222781731025510K1000029149
8311030522952510K1000029197
508601128887510K1000027059
6621314443884050K5000090978
895953800853210K1000029519
2261547460804110K1000023542
6514541342634010K1000028136
990838385592310K1000029957
7922125165594100K100000189763
607420034557210K1000027832
3611671172549310K1000025576
5616290186524910K1000027490
5471658658506310K1000027380

Top 20 Conjectures Tested to at least n=100K by Most Remaining k

RieselSierpinski
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
36306464493898855100K10000047713
7919659964993100K100000189763
3913525342134100K100000159107
4033865171117100K100000160206
191119866811160K160000204601
1061626615590100K100000202531
331470030486100K100000251983
35287860418100K100000154407
22354704402100K100000234831
151349922365320K320000697273
87750654307100K100000294300
78637209303100K100000289543
255205022287100K100000240655
20738572280100K100000231598
190626861274100K100000227876
67241440261100K100000282737
22288530258100K100000234636
58105788255100K100000176343
88225606253100K100000294547
85824053249100K100000293349
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
7922125165594100K100000189763
5151835823972100K100000170758
2223893591235100K100000234636
316360528503100K100000149137
19765174496250K250000319689
262110724469100K100000241831
96353081387100K100000198228
9541354365100K100000197773
36679231357100K100000256349
97114876342100K100000298722
77223191342100K100000288762
35214018325100K100000154407
43120138316100K100000263448
92728624310100K100000296708
21519924304100K100000233244
51345828279100K100000271012
80824271267100K100000290742
145430482264100K100000216137
29240393262100K100000246539
39166134259100K100000159107

Top 20 Conjectures with 1k Remaining by Highest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
31134718557583M30000004474086
68468715978.1M81000006303026
101017644215M50000005000001
22446136565M50000006712114
13336849261M10000002123852
67314422281M10000001826075
366210917472M20000005126963
253190418541M10000002403121
10311589241M10000002012838
736870560600K6000001720127
278047065M50000007156819
610753234600K6000001671198
50571468600K6000001621975
49663857600K6000001617290
936124241M10000001968483
469516422600K6000001602704
333502161M10000002522445
234764043.2M32000004357530
9674082421M10000002985427
1633722541M10000002212188
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
4302241315321600K6000001580082
7011077104381M10000001845099
10917576665M50000005000001
148447123611M10000002170262
75408613121.3M13000002437580
112350216961M10000002049219
165297412521M10000002217484
4322561661M10000001633469
117218414741M10000002068186
217185413561M10000002336460
25612218311M10000002408240
52010063691M10000002716004
275383983M30000004294092
781528370600K6000001735591
850369252600K6000001757652
816343153600K6000001747015
88332466600K6000001767577
3403091991M10000002531479
1009304144500K5000001501946
172782445M50000006152245

Top 20 Conjectures with 1k Remaining by Lowest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
101942600K6000001804905
39887600K6000001559930
548137600K6000001643269
812134600K6000001745734
23314101M10000002367356
662147600K6000001692515
6681411600K6000001694866
4581611800K8000002128693
968164600K6000001791526
10252081.075M10750003236529
2752241M10000002439333
321228800K8000002005205
5512210600K6000001644691
6362791M10000002803458
17328221M10000002238047
34728221M10000002540330
6952826600K6000001705191
7822814600K6000001735925
7433214600K6000001722594
836328600K6000001753324
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
100442600K6000001801041
91442400K4000001184379
174641M10000002240550
230841M10000002361728
335841M10000002525045
46182600K6000001598221
467841M10000002669317
2631081M10000002419956
4281081M10000002631444
758108600K6000001727802
828128600K6000001750819
1551441.875M18750004106872
74014131M10000002869232
9351410400K4000001188325
353168800K8000002038220
497168600K6000001617814
803164600K6000001742830
866168600K6000001762511
917162600K6000001777422
9681611400K4000001194351

Top 20 Conjectures with 2k Remaining by Highest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2 even-n399399519, 1436110M100000003010300
61134849642, 105721M10000001785330
7061761776, 22021M10000001845099
21746881376, 2642500K5000001168230
93139601854, 3812400K4000001187580
11238431662, 3327600K6000001229531
16232592118, 2841500K5000001104758
31590064, 552500K5000001249156
667834288, 344500K5000001412063
471750302, 408500K5000001336511
463668216, 356500K5000001332791
436645162, 344500K5000001319744
288613339, 509500K5000001229697
406593260, 297500K5000001304264
409534284, 344500K5000001305862
370531188, 405500K5000001284101
1003396252, 318300K300000900391
94538642, 302400K4000001190173
33737838, 222500K5000001263815
28132838, 314500K5000001224354
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
284554871, 45521M10000001447159
4929441414, 14561M10000001690197
3151642550, 836500K5000001249156
15713441174, 12281M10000002195900
4631188616, 1072500K5000001332791
2281146327, 915500K5000001178968
5071142380, 984500K5000001352504
30867278, 5881M10000001477122
376610246, 298500K5000001287594
703538354, 474300K300000854087
859474136, 250300K300000880198
83547494, 276300K300000876506
95841248, 363400K4000001192547
433342118, 264500K5000001318244
3653042, 176500K5000001281147
7702568, 11500K5000001443246
76623558, 222300K300000865269
790225127, 160300K300000869289
2622165, 1552M20000002829947
51021857, 195500K5000001353786

Top 20 Conjectures with 2k Remaining by Lowest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
8873822, 26300K300000884378
7374014, 22717K7170002055975
1585229, 44500K5000001099329
7746125, 30300K300000866623
6026858, 66500K5000001389799
8036814, 52300K300000871415
2187453, 59500K5000001169229
4978214, 56500K5000001348179
588943, 16500K5000001384689
32010673, 103500K5000001252575
53410629, 59500K5000001363771
98011010, 31400K4000001196491
56411439, 86500K5000001375640
29811627, 92500K5000001237109
38012850, 79500K5000001289892
43914444, 120500K5000001321233
82814464, 68300K300000875410
44714878, 118500K5000001325154
94115892, 112400K4000001189436
81416444, 128300K300000873188
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
395104, 8500K5000001298299
593104, 8500K5000001386528
6202212, 13500K5000001396196
542322, 13500K5000001367000
993366, 8520K5200001558414
332384, 16700K7000001764797
8873816, 34300K300000884378
5305814, 52500K5000001362138
774616, 19300K300000866623
334664, 51500K5000001261874
8326936, 67500K5000001460062
2368053, 67500K5000001186457
4728721, 67500K5000001336971
5338838, 64500K5000001363364
8008861, 82500K5000001451545
68810554, 103500K5000001418795
56411468, 79500K5000001375640
10712238, 681M10000002029384
63412675, 106500K5000001401045
38012864, 85500K5000001289892

Top 20 Conjectures with 3k Remaining by Highest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
3191526614, 1356, 1506500K5000001251896
1721262219, 387, 1140500K5000001117765
1001116870, 170, 994300K300000900131
5201128324, 576, 1094500K5000001358002
526900125, 273, 630500K5000001360493
601818300, 482, 744300K300000833663
32769638, 204, 370820K8200002061930
81634318, 113, 204300K300000873508
798339188, 283, 307300K300000870601
64823721, 186, 188500K5000001405788
98419699, 119, 191300K300000897899
59019698, 109, 152500K5000001385427
89218948, 96, 170400K4000001180146
98717058, 94, 118300K300000898296
89314822, 44, 94300K300000885256
41013647, 58, 64500K5000001306392
72010420, 27, 83300K300000857200
92010353, 61, 76500K5000001481894
4467413, 55, 64500K5000001324668
4246918, 21, 44500K5000001313683
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2 odd-n952839267, 32247, 5313310M100000003010300
37260494, 1272, 22241M10000001568202
1002469433, 922, 21451M10000002000001
133194488, 1138, 1336500K5000001061926
985900526, 666, 766500K5000001496719
249824436, 684, 706500K5000001198100
811552252, 450, 538300K300000872707
945386186, 296, 320400K4000001190173
19130252, 68, 172500K5000001140517
75430199, 159, 199300K300000863212
102293122, 178, 236500K5000001004301
92228530, 138, 214400K4000001185893
716238106, 121, 166300K300000856474
873208116, 150, 206400K4000001176406
94220640, 137, 139400K4000001189621
573204106, 132, 202500K5000001379078
50420179, 94, 116500K5000001351216
984196129, 160, 194300K300000897899
89218746, 93, 151500K5000001475183
4431848, 22, 94500K5000001323202

Top 20 Conjectures with 3k Remaining by Lowest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
4525911, 43, 52500K5000001327570
4246918, 21, 44500K5000001313683
4467413, 55, 64500K5000001324668
92010353, 61, 76500K5000001481894
72010420, 27, 83300K300000857200
41013647, 58, 64500K5000001306392
89314822, 44, 94300K300000885256
98717058, 94, 118300K300000898296
89218948, 96, 170400K4000001180146
59019698, 109, 152500K5000001385427
98419699, 119, 191300K300000897899
64823721, 186, 188500K5000001405788
798339188, 283, 307300K300000870601
81634318, 113, 204300K300000873508
32769638, 204, 370820K8200002061930
601818300, 482, 744300K300000833663
526900125, 273, 630500K5000001360493
5201128324, 576, 1094500K5000001358002
1001116870, 170, 994300K300000900131
1721262219, 387, 1140500K5000001117765
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
878232, 13, 17400K4000001177398
368408, 12, 34500K5000001282924
7884014, 16, 38300K300000868958
422468, 13, 17500K5000001312657
5786817, 31, 381M10000002761928
8426813, 19, 31400K4000001170125
710808, 47, 52300K300000855378
767804, 16, 52700K7000002019357
947802, 34, 68400K4000001190540
2909873, 88, 91500K5000001231199
8729819, 46, 68400K4000001176207
90511862, 68, 88400K4000001182660
6471242, 74, 100300K300000843272
76112816, 32, 92300K300000864416
39213023, 94, 103500K5000001296644
35414112, 75, 134500K5000001274502
97817721, 43, 144300K300000897102
4431848, 22, 94500K5000001323202
89218746, 93, 151500K5000001475183
984196129, 160, 194300K300000897899

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