CRUS Top 20 Page

Last update: Wed 30 Sep 2020 12:30 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
2509203516.63M66300001995829
2 odd-n17267746.63M66300001995829
2 even-n3993926.63M66300001995829
68468715.3M53000004124202
2780415M50000007156819
22446115M50000006712114
43993973.315M33150001995829
5346802623.15M31500002201756
3113471813M30000004474086
101017612.18M21800002180001
366210912M20000005126963
2347612M20000002723456
10252011.075M10750003236529
943911M10000001973128
8008811M10000002903090
6362711M10000002803458
33350211M10000002522445
28907841M10000001447159
253190411M10000002403121
2144411M10000002330414
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557532.5M325000009783475
2 2nd-c271129239M90000002709270
2 odd-n9528336.625M66250001994324
1727815M50000006152245
9234414M40000003816971
6174308104M40000003112606
46674163.3125M33125001994324
5159986303.15M31500002201756
10917512.8M28000002800001
2753812M20000002862728
22669412M20000002684846
75408611.3M13000002437580
1284411.2857M12857002709240
1551411.24M12400002716012
8727411M10000001939520
8757411M10000002942009
862811M10000001934499
85320411M10000002930950
7401411M10000002869232
682211M10000001832509

Top 20 Unproven Conjectures by Decimal Length

RieselSierpinski
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
2780415M50000007156819
22446115M50000006712114
366210912M20000005126963
3113471813M30000004474086
68468715.3M53000004124202
10252011.075M10750003236529
102910411M10000003012416
10248111M10000003010300
8008811M10000002903090
6362711M10000002803458
2347612M20000002723456
33350211M10000002522445
253190411M10000002403121
2144411M10000002330414
328481900K9000002264287
5346802623.15M31500002201756
101017612.18M21800002180001
43993973.315M33150001995829
2509203516.63M66300001995829
2 odd-n17267746.63M66300001995829
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557532.5M325000009783475
1727815M50000006152245
9234414M40000003816971
6174308104M40000003112606
8757411M10000002942009
85320411M10000002930950
7401411M10000002869232
2753812M20000002862728
10917512.8M28000002800001
1551411.24M12400002716012
5121811M10000002709270
2 2nd-c271129239M90000002709270
1284411.2857M12857002709240
22669412M20000002684846
4016811M10000002603145
335811M10000002525045
30412111M10000002482874
75408611.3M13000002437580
2631011M10000002419956
25914411M10000002413300

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
311347185575823093M30000004474086
2135342942285500K5000001164190
70275322216400K4000001138535
87934242118400K4000001177596
496638572063400K4000001078193
8151681988400K4000001164464
7301711701976400K4000001145330
505714681919400K4000001081317
5819821856400K4000001105671
23314101843400K400000946943
63627917581M10000002803458
1813001681739400K400000903072
109144841732400K400000814971
2531904185416661M10000002403121
80088816521M10000002903090
326110501642400K4000001005288
68446391593400K4000001134023
13336849261570549K5490001165995
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
7815283702853400K4000001157061
914422107400K4000001184379
3792461562052400K4000001031456
864174742012500K5000001468257
256122183119991M10000002408240
25245271855500K5000001200701
8363221851400K4000001168883
1484471236118101M10000002170262
93514101795400K4000001188325
15514417381.24M12400002716012
7841561511697400K4000001157727
40292611665500K5000001302114
605100701614400K4000001112703
10093041441607400K4000001201557
72420491573400K4000001143896
41756101569400K4000001048055
720104131521400K4000001142933
52010063691487700K7000001901203
96816111470400K4000001194351
294119611440400K400000987339

Top 20 Conjectures with 1k Remaining by Lowest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
68468715972725.3M53000004124202
318144122309600K6000001501457
4581611343600K6000001596520
3472822402500K5000001270165
9581748441500K5000001490683
3737418452500K5000001285855
71218547474400K4000001140992
867928475400K4000001175208
610753234519400K4000001114132
101017644215712.18M21800002180001
234764045802M20000002723456
549346610400K4000001095829
662147638500K5000001410429
6881059641400K4000001135036
5338874690400K4000001090691
90515222748400K4000001182660
39887761500K5000001299942
160183116769600K6000001322472
278047067705M50000007156819
7433214770400K4000001148396
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
75408613122211.3M13000002437580
304121602281M10000002482874
22720182421M10000002356026
10917576662632.8M28000002800001
1822382691M10000002260072
2631082981M10000002419956
172782443345M50000006152245
87274323421M10000001939520
259144643911M10000002413300
428108397500K5000001315722
7851308410500K5000001447435
140468435975K9750002092475
866168440400K4000001175008
40168204561M10000002603145
4302241315321483500K5000001316735
6387032497500K5000001402411
758108501500K5000001439835
9234420365024M40000003816971
828128529500K5000001459016
22669451285342M20000002684846

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
36306464493815032250K5000023857
6318725866617733025K2500044984
661019547726655325K2500045489
5186325341043225K2500042690
20136692301224615K1500034548
4033865171117100K100000160206
1302443673651710K1000021140
1962215067199225K2500057307
7919659964993100K100000189763
1061626615590100K100000202531
3913525342134100K100000159107
301115258473425K2500061965
191119866948100K100000127876
540800138192210K1000027324
295664484130710K1000024699
19062686155425K2500056969
2509203516.63M66300001995829
23250141788425K2500059138
331470030486100K100000251983
82039079552725K2500072846
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
63375658683377225K2500044984
66213144431167725K2500045489
316360528503100K100000149137
515183582627330K3000051228
1962730222251825K2500057307
792212516697850K5000094882
3611671172552210K1000025576
5401091739263210K1000027324
301106198270525K2500061965
1301021537157225K2500052849
955981094232275K75000223501
40826477238100K100000160206
126766700121725K2500052510
19765174543188K188000240406
495692446176810K1000026947
241636076181525K2500059551
1023632462253125K2500075247
276622697166925K2500061023
106495090184100K100000202531
23244759280725K2500059138

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
2509203516.63M66300001995829
331470030486100K100000251983
151349922365320K320000697273
5346802623.15M31500002201756
25346802117150K150000209692
59529189091100K100000277452
35287860423100K100000154407
316287520175100K100000249969
145257324120100K100000216137
9122905835200K200000391809
2 odd-n17267746.63M66300001995829
10517060647100K100000202119
381168652182100K100000258093
225168032128100K100000235219
23115158455100K100000236362
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
316360528503100K100000149137
40826477238100K100000160206
19765174543188K188000240406
106495090184100K100000202531
145430482264100K100000216137
2223893591235100K100000234636
96353081387100K100000198228
59530112890100K100000277452
316287520145100K100000249969
331280458253100K100000251983
2 2nd-c271129239M90000002709270
771264218202100K100000288706
2526263881350K350000489280
23125174895100K100000236362
35214018325100K100000154407
391206662247100K100000259218
78186123120100K100000189210
10518163251100K100000202119
6174308104M40000003112606
39166134259100K100000159107

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
36306464493815032250K5000023857
661019547726655325K2500045489
20136692301224615K1500034548
5186325341043225K2500042690
1302443673651710K1000021140
7919659964993100K100000189763
1018111284289510K1000030078
388205391274710K1000025889
975282032224510K1000029891
310363869216210K1000024914
3913525342134100K100000159107
513221706209525K2500067753
1962215067199225K2500057307
540800138192210K1000027324
32393896183625K2500062731
627129182164910K1000027973
283218042148710K1000024518
612105437145710K1000027868
537113788142010K1000027300
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
63375658683377225K2500044984
66213144431167725K2500045489
792212516697850K5000094882
515183582627330K3000051228
3611671172552210K1000025576
303174742287710K1000024815
5401091739263210K1000027324
1023632462253125K2500075247
1962730222251825K2500057307
575136582235010K1000027597
537176734234710K1000027300
955981094232275K75000223501
612162446215210K1000027868
241636076181525K2500059551
495692446176810K1000026947
276622697166925K2500061023
310268392160210K1000024914
1301021537157225K2500052849
750210779155010K1000028751
101877443153425K2500075194

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
19765174543188K188000240406
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
31134718557583M30000004474086
68468715975.3M53000004124202
101017644212.18M21800002180001
22446136565M50000006712114
1333684926549K5490001165995
366210917472M20000005126963
253190418541M10000002403121
1031158924575K5750001157382
736870560400K4000001146752
278047065M50000007156819
610753234400K4000001114132
50571468400K4000001081317
49663857400K4000001078193
93612424779K7790001533449
213534294500K5000001164190
469516422400K4000001068470
333502161M10000002522445
234764042M20000002723456
967408242500K5000001492714
163372254600K6000001327313
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
4302241315321500K5000001316735
10917576662.8M28000002800001
22669451282M20000002684846
148447123611M10000002170262
75408613121.3M13000002437580
112350216961M10000002049219
9234420364M40000003816971
4322561661M10000001633469
11721841474500K5000001034093
21718541356500K5000001168230
25612218311M10000002408240
5201006369700K7000001901203
676825607400K4000001131979
275383982M20000002862728
781528370400K4000001157061
850369252400K4000001171768
816343153400K4000001164677
88332466500K5000001472981
340309199400K4000001012592
1009304144400K4000001201557

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
812134400K4000001163823
2331410400K400000946943
662147500K5000001410429
6681411400K4000001129911
4581611600K6000001596520
815168400K4000001164464
968164500K5000001492938
10252081.075M10750003236529
275224400K400000975734
321228500K5000001253253
5512210400K4000001096461
6362791M10000002803458
1732822400K400000895219
3472822500K5000001270165
6952826400K4000001136794
7822814400K4000001157283
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
100442400K4000001200694
91442400K4000001184379
17464850K8500001904467
23084900K9000002125556
335841M10000002525045
46182400K4000001065481
46784750K7500002001988
2631081M10000002419956
428108500K5000001315722
758108500K5000001439835
828128500K5000001459016
1551441.24M12400002716012
74014131M10000002869232
9351410400K4000001188325
353168400K4000001019110
497168500K5000001348179
803164500K5000001452358
866168400K4000001175008
917162400K4000001184948
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, 143616.63M66300001995829
61134849642, 10572600K6000001071198
21746881376, 2642300K300000700938
93139601854, 3812400K4000001187580
11238431662, 3327400K400000819688
16232592118, 2841300K300000662855
667834288, 344250K250000706032
463668216, 356300K300000799675
436645162, 344300K300000791846
288613339, 509300K300000737818
406593260, 297300K300000782558
532573156, 204300K300000817774
409534284, 344200K200000522345
1003396252, 318200K200000600261
94538642, 302400K4000001190173
33737838, 222200K200000505526
28132838, 314300K300000734612
98830047, 93300K300000898428
643300114, 206250K250000702053
696288152, 225200K200000568522
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
284554871, 45521M10000001447159
4929441414, 1456600K6000001014118
3151642550, 836300K300000749494
4631188616, 1072500K5000001332791
2281146327, 915403K403000950248
30867278, 588800K8000001181698
376610246, 298250K250000643797
703538354, 474300K300000854087
859474136, 250300K300000880198
83547494, 276300K300000876506
95841248, 363400K4000001192547
433342118, 264300K300000790947
3653042, 176200K200000512459
7702568, 11300K300000865948
76623558, 222200K200000576846
790225127, 160300K300000869289
2622165, 1551M10000001414974
51021857, 195300K300000812272
44720486, 148250K250000662577
29818366, 168300K300000742265

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, 25300K300000861822
8873822, 26200K200000589585
7374014, 22300K300000860241
1585229, 44300K300000659598
7746125, 30300K300000866623
6026858, 66200K200000555920
8036814, 52200K200000580944
2187453, 59500K5000001169229
4978214, 56300K300000808907
588943, 16200K200000553876
32010673, 103300K300000751545
53410629, 59200K200000545509
98011010, 31400K4000001196491
56411439, 86500K5000001375640
63412620, 29300K300000840627
82814464, 68300K300000875410
44714878, 118300K300000795093
94115892, 112400K4000001189436
81416444, 128300K300000873188
97817712, 94400K4000001196136
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
395104, 8500K5000001298299
593104, 8300K300000831917
6202212, 13300K300000837718
542322, 13300K300000820200
993366, 8520K5200001558414
332384, 16700K7000001764797
8873816, 34300K300000884378
5305814, 52300K300000817283
774616, 19200K200000577749
334664, 51300K300000757124
8326936, 67400K4000001168050
2368053, 67457K4570001084421
6848634, 41200K200000567012
4728721, 67300K300000802183
5338838, 64400K4000001090691
8008861, 82500K5000001451545
68810554, 103500K5000001418795
56411468, 79500K5000001375640
10712238, 681M10000002029384
63412675, 106300K300000840627

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
1001116870, 170, 994300K300000900131
5201128324, 576, 1094300K300000814802
526900125, 273, 630300K300000816296
31590064, 400, 552200K200000499663
601818300, 482, 744300K300000833663
471750144, 302, 408200K200000534605
32769638, 204, 370605K6050001521302
370531188, 225, 405300K300000770461
81634318, 113, 204300K300000873508
8025310, 31, 214400K400000761236
64823721, 186, 188500K5000001405788
98419699, 119, 191300K300000897899
59019698, 109, 152300K300000831256
89218948, 96, 170400K4000001180146
98717058, 94, 118300K300000898296
50016638, 53, 82250K250000674743
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2 odd-n952839267, 32247, 531336.625M66250001994324
70110775608, 9231, 10438400K400000738040
16529741252, 1486, 1798250K250000554371
37260494, 1272, 22241M10000001568202
1002469433, 922, 21451M10000002000001
133194488, 1138, 1336250K250000530963
1571344684, 1174, 1228300K300000658770
5071142380, 702, 984300K300000811503
985900526, 666, 766400K4000001197375
249824436, 684, 706400K400000958480
811552252, 450, 538300K300000872707
945386186, 296, 320400K4000001190173
19130252, 68, 172250K250000570259
75430199, 159, 199300K300000863212
102293122, 178, 236300K300000602581
92228530, 138, 214300K300000889420
5582598, 183, 198300K300000823991
716238106, 121, 166300K300000856474
873208116, 150, 206400K4000001176406
94220640, 137, 139400K4000001189621

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, 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
89314822, 44, 94300K300000885256
50016638, 53, 82250K250000674743
98717058, 94, 118300K300000898296
89218948, 96, 170400K4000001180146
59019698, 109, 152300K300000831256
98419699, 119, 191300K300000897899
64823721, 186, 188500K5000001405788
8025310, 31, 214400K400000761236
81634318, 113, 204300K300000873508
370531188, 225, 405300K300000770461
32769638, 204, 370605K6050001521302
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
878232, 13, 17400K4000001177398
368408, 12, 34200K200000513170
7884014, 16, 38300K300000868958
422468, 13, 17400K4000001050125
5786817, 31, 38300K300000828579
8426813, 19, 31400K4000001170125
710808, 47, 52300K300000855378
767804, 16, 52300K300000865439
947802, 34, 68400K4000001190540
2909873, 88, 91300K300000738720
8729819, 46, 68400K4000001176207
90511862, 68, 88400K4000001182660
6471242, 74, 100300K300000843272
76112816, 32, 92300K300000864416
41213236, 64, 117250K250000653725
35414112, 75, 134200K200000509801
53617813, 75, 81300K300000818750
4431848, 22, 94500K5000001323202
89218746, 93, 151500K5000001475183
984196129, 160, 194300K300000897899

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