CRUS Top 20 Page

Last update: Fri 22 Mar 2019 06:30 CDT

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
2 odd-n17267745.8M58000001745974
2 even-n3993925.8M58000001745974
2509203515.5M55000001655665
68468715.2M52000004046387
2780414M40000005725456
22446114M40000005369691
43993972.9M29000001745974
5346802692.7M27000001887220
2347612M20000002723456
101017612M20000002000001
366210911.6M16000004101570
10252011.075M10750003236529
943911M10000001973128
8008811M10000002903090
6362711M10000002803458
33350211M10000002522445
3113471821M10000001491362
28907841M10000001447159
253190411M10000002403121
2144411M10000002330414
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557531.6M316000009512548
2 odd-n9528335.8M58000001745974
2 2nd-c271129245.8M58000001745974
1727815M50000006152245
6174308103M30000002334454
46674162.9M29000001745974
5159986322.7M27000001887220
10917512.31M23100002310001
9234412M20000001908486
2753812M20000002862728
22669412M20000002684846
75408611.3M13000002437580
1284411.2857M12857002709240
1551411.17M11700002562689
8727411M10000001939520
8757411M10000002942009
862811M10000001934499
682211M10000001832509
55441641M10000001740363
5121811M10000002709270

Top 20 Unproven Conjectures by Decimal Length

RieselSierpinski
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
2780414M40000005725456
22446114M40000005369691
366210911.6M16000004101570
68468715.2M52000004046387
10252011.075M10750003236529
102910411M10000003012416
10248111M10000003010300
8008811M10000002903090
6362711M10000002803458
2347612M20000002723456
33350211M10000002522445
253190411M10000002403121
2144411M10000002330414
328481900K9000002264287
101017612M20000002000001
943911M10000001973128
5346802692.7M27000001887220
2561036419750K7500001806180
888691600K6000001769048
43993972.9M29000001745974
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557531.6M316000009512548
1727815M50000006152245
8757411M10000002942009
2753812M20000002862728
5121811M10000002709270
1284411.2857M12857002709240
22669412M20000002684846
4016811M10000002603145
1551411.17M11700002562689
335811M10000002525045
30412111M10000002482874
75408611.3M13000002437580
2631011M10000002419956
25914411M10000002413300
2272011M10000002356026
6174308103M30000002334454
10917512.31M23100002310001
2004711M10000002301030
1853211M10000002267172
328481900K9000002264287

Top 20 Conjectures with 1k Remaining by Highest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
123154242758555K5550001159898
33238182502400K4000001008456
2135342942285500K5000001164190
70275322216400K4000001138535
83250352164200K200000584025
87934242118200K200000588798
496638572063400K4000001078193
8151681988200K200000582232
7301711701976400K4000001145330
95150341925200K200000595637
505714681919400K4000001081317
87574381897200K200000588402
5819821856400K4000001105671
23314101843400K400000946943
63627917581M10000002803458
1813001681739400K400000903072
109144841732400K400000814971
2531904185416661M10000002403121
80088816521M10000002903090
326110501642400K4000001005288
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
4061861003496200K200000521706
7815283702853200K200000578531
914422107400K4000001184379
3792461562052400K4000001031456
864174742012500K5000001468257
25612218311999800K8000001926592
25245271855500K5000001200701
8363221851200K200000584442
1484471236118101M10000002170262
93514101795200K200000594163
15514417381.17M11700002562689
7841561511697368.2K3682001065688
40292611665400K4000001041691
605100701614334K334000929107
10093041441607200K200000600779
72420491573200K200000571948
41756101569400K4000001048055
720104131521200K200000571467
52010063691487700K7000001901203
96816111470250K250000746469

Top 20 Conjectures with 1k Remaining by Lowest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
68468715972725.2M52000004046387
318144122309525K5250001313775
4581611343400K4000001064347
3472822402400K4000001016132
9581748441500K5000001490683
3737418452400K4000001028684
71218547474400K4000001140992
867928475350K3500001028307
610753234519400K4000001114132
101017644215712M20000002000001
234764045802M20000002723456
549346610400K4000001095829
662147638500K5000001410429
6881059641200K200000567518
5338874690400K4000001090691
90515222748400K4000001182660
39887761500K5000001299942
160183116769400K400000881648
278047067704M40000005725456
7433214770400K4000001148396
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
75408613122211.3M13000002437580
304121602281M10000002482874
22720182421M10000002356026
10917576662632.31M23100002310001
1822382691M10000002260072
2631082981M10000002419956
172782443345M50000006152245
87274323421M10000001939520
259144643911M10000002413300
428108397500K5000001315722
7851308410400K4000001157948
866168440400K4000001175008
40168204561M10000002603145
6387032497400K4000001121929
758108501500K5000001439835
9234420365022M20000001908486
828128529500K5000001459016
22669451285342M20000002684846
373120108547400K4000001028684
917162549400K4000001184948

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
36306464493826958725K2500011929
6318725866617733025K2500044984
6610195477210709310K1000018196
5186325341132425K2500042690
20136692301224615K1500034548
4033865171117100K100000160206
1962215067199225K2500057307
7919659964993100K100000189763
1061626615590100K100000202531
3913525342134100K100000159107
301115258473425K2500061965
191119866948100K100000127876
19062686155425K2500056969
2509203515.5M55000001655665
23250141788425K2500059138
331470030486100K100000251983
151349922365320K320000697273
5346802692.7M27000001887220
25346802123150K150000209692
59529189091100K100000277452
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
63375658683377225K2500044984
66213144431167725K2500045489
316360528503100K100000149137
515183582627330K3000051228
1962730222251825K2500057307
792212516697850K5000094882
3611671172552710K1000025576
5401091739263210K1000027324
301106198270525K2500061965
1301021537157225K2500052849
955981094232275K75000223501
40826477238100K100000160206
126766700121725K2500052510
19765174554178K178000227619
241636076181525K2500059551
1023632462253125K2500075247
276622697166925K2500061023
106495090184100K100000202531
23244759280725K2500059138
145430482264100K100000216137

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
4033865171117100K100000160206
7919659964993100K100000189763
1061626615590100K100000202531
3913525342134100K100000159107
191119866948100K100000127876
2509203515.5M55000001655665
331470030486100K100000251983
151349922365320K320000697273
5346802692.7M27000001887220
25346802123150K150000209692
59529189091100K100000277452
35287860423100K100000154407
316287520175100K100000249969
145257324120100K100000216137
9122905835200K200000391809
2 odd-n17267745.8M58000001745974
10517060647100K100000202119
381168652182100K100000258093
225168032128100K100000235219
23115158455100K100000236362
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
316360528503100K100000149137
40826477238100K100000160206
19765174554178K178000227619
106495090184100K100000202531
145430482264100K100000216137
2223893591235100K100000234636
96353081387100K100000198228
316287520145100K100000249969
331280458253100K100000251983
2 2nd-c271129245.8M58000001745974
771264218202100K100000288706
2526263884300K300000419383
23125174895100K100000236362
35214018325100K100000154407
391206662247100K100000259218
78186123120100K100000189210
10518163251100K100000202119
6174308103M30000002334454
39166134259100K100000159107
5159986322.7M27000001887220

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
36306464493826958725K2500011929
6318725866617733025K2500044984
6610195477210709310K1000018196
20136692301224615K1500034548
5186325341132425K2500042690
7919659964993100K100000189763
513221706284310K1000027102
32393896226010K1000025093
3913525342134100K100000159107
1962215067199225K2500057307
612105437145710K1000027868
997101526133510K1000029987
80859058128010K1000029075
76855367115510K1000028854
4033865171117100K100000160206
30385368107825K2500062037
5757760097925K2500068992
191119866948100K100000127876
60010277291225K2500069454
23250141788425K2500059138
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
63375658683377225K2500044984
66213144431167725K2500045489
792212516697850K5000094882
515183582627330K3000051228
3611671172552710K1000025576
5401091739263210K1000027324
1023632462253125K2500075247
1962730222251825K2500057307
955981094232275K75000223501
101877443205010K1000030078
73281364187510K1000028646
241636076181525K2500059551
276622697166925K2500061023
1301021537157225K2500052849
2223893591235100K100000234636
126766700121725K2500052510
4324676596425K2500065888
3889024983225K2500064721
26211072483225K2500060458
9823964081625K2500074803

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
7919659964993100K100000189763
3913525342134100K100000159107
4033865171117100K100000160206
191119866948100K100000127876
1061626615590100K100000202531
331470030486100K100000251983
35287860423100K100000154407
22354704402100K100000234831
151349922365320K320000697273
20738572280100K100000231598
22288530258100K100000234636
58105788255100K100000176343
88225606253100K100000294547
85824053249100K100000293349
94036929242100K100000297313
21515358237100K100000233244
70841121236100K100000285004
55558202236100K100000274430
75185682233100K100000287564
19380802232100K100000228556
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2223893591235100K100000234636
19765174554178K178000227619
316360528503100K100000149137
96353081387100K100000198228
9541354365100K100000197773
36679231357100K100000256349
97114876342100K100000298722
77223191342100K100000288762
35214018325100K100000154407
43120138316100K100000263448
21519924304100K100000233244
80824271267100K100000290742
145430482264100K100000216137
29240393262100K100000246539
39166134259100K100000159107
34826523257100K100000254158
331280458253100K100000251983
84328486250100K100000292583
59223721247100K100000277233
391206662247100K100000259218

Top 20 Conjectures with 1k Remaining by Highest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
68468715975.2M52000004046387
101017644212M20000002000001
22446136564M40000005369691
1333684926545K5450001157500
366210917471.6M16000004101570
253190418541M10000002403121
1031158924575K5750001157382
736870560400K4000001146752
278047064M40000005725456
610753234400K4000001114132
50571468400K4000001081317
49663857400K4000001078193
93612424779K7790001533449
213534294500K5000001164190
469516422400K4000001068470
333502161M10000002522445
234764042M20000002723456
967408242500K5000001492714
163372254400K400000884876
850369221200K200000585884
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
10917576662.31M23100002310001
22669451282M20000002684846
148447123611M10000002170262
75408613121.3M13000002437580
112350216961M10000002049219
9234420362M20000001908486
4322561661M10000001633469
21718541356400K400000934584
2561221831800K8000001926592
5201006369700K7000001901203
676825607400K4000001131979
275383982M20000002862728
781528370200K200000578531
850369252200K200000585884
816343153200K200000582339
340309199400K4000001012592
1009304144200K200000600779
172782445M50000006152245
87274321M10000001939520
806268140400K4000001162535

Top 20 Conjectures with 1k Remaining by Lowest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
101942400K4000001203270
39887500K5000001299942
65084400K4000001125166
548137400K4000001095513
812134200K200000581912
2331410400K400000946943
662147500K5000001410429
6681411400K4000001129911
4581611400K4000001064347
815168200K200000582232
968164250K250000746469
10252081.075M10750003236529
275224400K400000975734
321228500K5000001253253
5512210400K4000001096461
6362791M10000002803458
1732822400K400000895219
3472822400K4000001016132
6952826400K4000001136794
7822814400K4000001157283
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
100442200K200000600347
91442400K4000001184379
17464684K6840001532536
23084600K6000001417037
335841M10000002525045
46182400K4000001065481
46784685K6850001828483
2631081M10000002419956
428108500K5000001315722
758108500K5000001439835
828128500K5000001459016
1551441.17M11700002562689
7401413200K200000573847
9351410200K200000594163
353168400K4000001019110
497168400K4000001078543
803164488K4880001417502
866168400K4000001175008
917162400K4000001184948
9681611250K250000746469

Top 20 Conjectures with 2k Remaining by Highest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
311347186962, 557581M10000001491362
2 even-n399399519, 143615.8M58000001745974
61134849642, 10572300K300000535599
93139601854, 3812400K4000001187580
11238431662, 3327363K363000743867
16232592118, 2841250K250000552379
667834288, 344250K250000706032
463668216, 356200K200000533117
436645162, 344200K200000527898
288613339, 509200K200000491879
406593260, 297200K200000521706
532573156, 204300K300000817774
409534284, 344200K200000522345
1003396252, 318200K200000600261
94538642, 302400K4000001190173
33737838, 222200K200000505526
28132838, 314300K300000734612
98830047, 93200K200000598952
643300114, 206250K250000702053
696288152, 225200K200000568522
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
284554871, 45521M10000001447159
4929441414, 1456600K6000001014118
3151642550, 836200K200000499663
4631188616, 1072200K200000533117
30867278, 588500K500000738561
376610246, 298250K250000643797
703538354, 474300K300000854087
859474136, 250300K300000880198
83547494, 276300K300000876506
95841248, 363400K4000001192547
433342118, 264300K300000790947
88332466, 154200K200000589193
3653042, 176200K200000512459
7702568, 11300K300000865948
76623558, 222200K200000576846
790225127, 160300K300000869289
2622165, 1551M10000001414974
51021857, 195267K267000722922
44720486, 148200K200000530062
46820297, 188427K4270001140195

Top 20 Conjectures with 2k Remaining by Lowest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
7463414, 25200K200000574548
8873822, 26200K200000589585
7374014, 22200K200000573494
7746125, 30200K200000577749
6026858, 66200K200000555920
8036814, 52200K200000580944
2187453, 59500K5000001169229
4978214, 56300K300000808907
588943, 16200K200000553876
32010673, 103200K200000501030
53410629, 59200K200000545509
98011010, 31400K4000001196491
56411439, 86500K5000001375640
63412620, 29300K300000840627
82814464, 68200K200000583607
44714878, 118300K300000795093
39415980, 86200K200000519100
81416444, 128300K300000873188
864174114, 134200K200000587303
97817712, 94400K4000001196136
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
395104, 8500K5000001298299
593104, 8300K300000831917
6202212, 13200K200000558479
542322, 13200K200000546800
993366, 8520K5200001558414
332384, 16610K6100001537895
8873816, 34200K200000589585
140468, 16250K250000536533
3175220, 44200K200000500212
5305814, 52200K200000544856
774616, 19200K200000577749
334664, 51200K200000504750
8326936, 67200K200000584025
6848634, 41200K200000567012
4728721, 67200K200000534789
5338838, 64200K200000545346
8008861, 82250K250000725773
68810554, 103500K5000001418795
3261105, 17200K200000502644
56411468, 79500K5000001375640

Top 20 Conjectures with 3k Remaining by Highest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
7061761776, 2202, 5468400K400000738040
6731441274, 2228, 2846400K400000730430
3191526614, 1356, 1506200K200000500759
1721262219, 387, 1140250K250000558883
5201128324, 576, 1094300K300000814802
526900125, 273, 630300K300000816296
31590064, 400, 552200K200000499663
601818300, 482, 744300K300000833663
471750144, 302, 408200K200000534605
32769638, 204, 370533K5330001340254
370531188, 225, 405300K300000770461
81634318, 113, 204300K300000873508
8025310, 31, 214400K400000761236
64823721, 186, 188500K5000001405788
59019698, 109, 152300K300000831256
89218948, 96, 170400K4000001180146
98717058, 94, 118300K300000898296
50016638, 53, 82250K250000674743
94115874, 92, 112200K200000594718
43914444, 96, 120200K200000528493
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2 odd-n952839267, 32247, 531335.8M58000001745974
43022413859, 15321, 17872200K200000526694
70110775608, 9231, 10438400K400000738040
16529741252, 1486, 1798250K250000554371
37260494, 1272, 22241M10000001568202
1002469433, 922, 21451M10000002000001
117218458, 386, 1474250K250000517047
133194488, 1138, 1336250K250000530963
1571344684, 1174, 1228250K250000548975
2281146188, 327, 915200K200000471587
5071142380, 702, 984300K300000811503
945386186, 296, 320200K200000595087
19130252, 68, 172250K250000570259
75430199, 159, 199300K300000863212
102293122, 178, 236250K250000502151
92228530, 138, 214300K300000889420
716238106, 121, 166300K300000856474
873208116, 150, 206400K4000001176406
94220640, 137, 139400K4000001189621
573204106, 132, 202300K300000827447

Top 20 Conjectures with 3k Remaining by Lowest Conjectured k

RieselSierpinski
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
1585229, 44, 47250K250000549665
4525911, 43, 52300K300000796542
4246918, 21, 44200K200000525474
4467413, 55, 64300K300000794801
92010353, 61, 76500K5000001481894
72010420, 27, 83300K300000857200
29811627, 92, 105200K200000494844
38012838, 50, 79300K300000773936
41013647, 58, 64300K300000783836
43914444, 96, 120200K200000528493
94115874, 92, 112200K200000594718
50016638, 53, 82250K250000674743
98717058, 94, 118300K300000898296
89218948, 96, 170400K4000001180146
59019698, 109, 152300K300000831256
64823721, 186, 188500K5000001405788
8025310, 31, 214400K400000761236
81634318, 113, 204300K300000873508
370531188, 225, 405300K300000770461
32769638, 204, 370533K5330001340254
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
368408, 12, 34200K200000513170
7884014, 16, 38300K300000868958
8426813, 19, 31400K4000001170125
2368032, 53, 67250K250000593229
947802, 34, 68400K4000001190540
2909873, 88, 91200K200000492480
90511862, 68, 88400K4000001182660
38012861, 64, 85200K200000515957
41213236, 64, 117200K200000522980
410136103, 110, 119300K300000783836
35414112, 75, 134200K200000509801
50420179, 94, 116250K250000675608
573204106, 132, 202300K300000827447
94220640, 137, 139400K4000001189621
873208116, 150, 206400K4000001176406
716238106, 121, 166300K300000856474
92228530, 138, 214300K300000889420
102293122, 178, 236250K250000502151
75430199, 159, 199300K300000863212
19130252, 68, 172250K250000570259

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