CRUS Top 20 Page

Last update: Mon 26 Sep 2022 00:30 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
2509203468M80000002408240
2 odd-n17267748M80000002408240
2 even-n3993928M80000002408240
68468715.6M56000004357648
2780415M50000007156819
22446115M50000006712114
2 2nd-c762701285M50000001505150
43993954M40000002408240
5346802573.7M37000002586190
3113471813M30000004474086
366210912M20000005126963
2347612M20000002723456
101017612M20000002000001
10252011.075M10750003236529
943911M10000001973128
8008811M10000002903090
71218511M10000002852480
6362711M10000002803458
33350211M10000002522445
3284811M10000002515874
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557537M3700000011138110
2 odd-n95283310M100000003010300
2 2nd-c2711291710M100000003010300
9234415M50000004771213
46674165M50000003010300
1727815M50000006152245
6174308104M40000003112606
5159986303.7M37000002586190
2753812M20000002862728
22669412M20000002684846
10917512M20000002000001
1551411.575M15750003449773
75408611.3M13000002437580
1284411.2857M12857002709240
8727411M10000001939520
8757411M10000002942009
862811M10000001934499
85320411M10000002930950
7401411M10000002869232
701107711M10000001845099

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
68468715.6M56000004357648
10252011.075M10750003236529
102910411M10000003012416
10248111M10000003010300
8008811M10000002903090
71218511M10000002852480
6362711M10000002803458
2347612M20000002723456
5346802573.7M37000002586190
33350211M10000002522445
3284811M10000002515874
31814411M10000002502428
43993954M40000002408240
2509203468M80000002408240
2 odd-n17267748M80000002408240
2 even-n3993928M80000002408240
Base CK Count of k
Remaining
Tested N Test Limit Mininum
Decimal
Length
278557537M3700000011138110
1727815M50000006152245
9234415M50000004771213
1551411.575M15750003449773
6174308104M40000003112606
46674165M50000003010300
2 odd-n95283310M100000003010300
2 2nd-c2711291710M100000003010300
8757411M10000002942009
85320411M10000002930950
7401411M10000002869232
2753812M20000002862728
520100611M10000002716004
5121811M10000002709270
1284411.2857M12857002709240
22669412M20000002684846
46820211M10000002670246
4016811M10000002603145
5159986303.7M37000002586190
37924611M10000002578640

Top 20 Conjectures with 1k Remaining by Highest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
123154242758600K6000001253944
33238182502600K6000001512683
311347185575823093M30000004474086
2135342942285600K6000001397028
70275322216400K4000001138535
87934242118400K4000001177596
496638572063600K6000001617290
8151681988400K4000001164464
7301711701976400K4000001145330
505714681919600K6000001621975
5819821856600K6000001658506
23314101843600K6000001420414
63627917581M10000002803458
1813001681739600K6000001354608
1091448417321M10000002037427
2531904185416661M10000002403121
80088816521M10000002903090
326110501642600K6000001507931
68446391593400K4000001134023
13336849261570600K6000001274311
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
7815283702853400K4000001157061
914422107400K4000001184379
37924615620521M10000002578640
864174742012500K5000001468257
256122183119991M10000002408240
25245271855600K6000001440841
8363221851400K4000001168883
1484471236118101M10000002170262
93514101795400K4000001188325
15514417381.575M15750003449773
7841561511697400K4000001157727
40292611665600K6000001562536
605100701614600K6000001669054
10093041441607400K4000001201557
72420491573500K5000001429870
41756101569700K7000001834096
720104131521500K5000001428667
520100636914871M10000002716004
96816111470400K4000001194351
2941196114401M10000002468348

Top 20 Conjectures with 1k Remaining by Lowest Weight

RieselSierpinski
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
68468715972725.6M56000004357648
3181441223091M10000002502428
4581611343700K7000001862606
3472822402600K6000001524198
9581748441500K5000001490683
3737418452600K6000001543026
712185474741M10000002852480
867928475500K5000001469010
610753234519500K5000001392665
101017644215712M20000002000001
234764045802M20000002723456
549346610600K6000001643744
662147638500K5000001410429
6881059641400K4000001135036
5338874690600K6000001636037
90515222748400K4000001182660
39887761600K6000001559930
160183116769600K6000001322472
278047067705M50000007156819
7433214770400K4000001148396
Base CK List of
Remaining k
Weight Tested N Test Limit Mininum
Decimal
Length
75408613122211.3M13000002437580
304121602281M10000002482874
22720182421M10000002356026
10917576662632M20000002000001
1822382691M10000002260072
2631082981M10000002419956
172782443345M50000006152245
87274323421M10000001939520
259144643911M10000002413300
428108397600K6000001578867
1404684351M10000002146129
866168440500K5000001468759
40168204561M10000002603145
4302241315321483600K6000001580082
6387032497600K6000001682893
758108501500K5000001439835
9234420365025M50000004771213
828128529500K5000001459016
22669451285342M20000002684846
373120108547700K7000001800197

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
363064644938100719100K10000047713
6318725866617733025K2500044984
661019547726655325K2500045489
5186325341043225K2500042690
12437304495445010K1000020935
2013669230976925K2500057580
4033865171117100K100000160206
1262767077453225K2500052510
1302443673411525K2500052849
1962215067199225K2500057307
7919659964993100K100000189763
1061626615590100K100000202531
2671432662576110K1000024266
3913525342134100K100000159107
301115258473425K2500061965
191119866948100K100000127876
8851041492395210K1000029470
375836460247610K1000025741
540800138192210K1000027324
2 2nd-c762701285M50000001505150
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
312505097608656329625K2500011929
63375658683377225K2500044984
66213144431167725K2500045489
316360528503100K100000149137
515183582627330K3000051228
3853301264340710K1000025855
1903146151474910K1000022788
1962730222251825K2500057307
792212516697850K5000094882
3611671172551010K1000025576
2671343016536610K1000024266
5401091739263210K1000027324
301106198270525K2500061965
1301021537157225K2500052849
955981094232275K75000223501
775862620375210K1000028894
40826477238100K100000160206
861813160269210K1000029351
126766700121725K2500052510
19765174525200K200000255751

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
363064644938100719100K10000047713
4033865171117100K100000160206
7919659964993100K100000189763
1061626615590100K100000202531
3913525342134100K100000159107
191119866948100K100000127876
2 2nd-c762701285M50000001505150
2509203468M80000002408240
331470030486100K100000251983
151349922365320K320000697273
5346802573.7M37000002586190
25346802103300K300000419383
59529189091100K100000277452
35287860423100K100000154407
316287520175100K100000249969
145257324120100K100000216137
9122905835200K200000391809
2 odd-n17267748M80000002408240
10517060647100K100000202119
381168652182100K100000258093
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
316360528503100K100000149137
40826477238100K100000160206
19765174525200K200000255751
106495090184100K100000202531
145430482264100K100000216137
2223893591235100K100000234636
96353081387100K100000198228
59530112890100K100000277452
316287520145100K100000249969
331280458253100K100000251983
2 2nd-c2711291710M100000003010300
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
363064644938100719100K10000047713
661019547726655325K2500045489
12437304495445010K1000020935
5186325341043225K2500042690
2013669230976925K2500057580
2671432662576110K1000024266
7919659964993100K100000189763
1262767077453225K2500052510
1302443673411525K2500052849
8851041492395210K1000029470
660322567392210K1000028196
250682217369910K1000023980
685518792365410K1000028357
312173401357710K1000024942
970447630343110K1000029868
838180384329310K1000029233
535746580310610K1000027284
465706690289610K1000026675
1018111284289510K1000030078
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
312505097608656329625K2500011929
63375658683377225K2500044984
66213144431167725K2500045489
792212516697850K5000094882
515183582627330K3000051228
3611671172551010K1000025576
2671343016536610K1000024266
1903146151474910K1000022788
775862620375210K1000028894
786210082360410K1000028955
3853301264340710K1000025855
673687142332810K1000028281
970430152325810K1000029868
675293812301710K1000028294
975375364292010K1000029891
303174742287710K1000024815
486301941284410K1000026867
717179678270310K1000028556
861813160269210K1000029351
5401091739263210K1000027324

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
363064644938100719100K10000047713
7919659964993100K100000189763
3913525342134100K100000159107
4033865171117100K100000160206
191119866948100K100000127876
1061626615590100K100000202531
331470030486100K100000251983
35287860423100K100000154407
22354704402100K100000234831
151349922365320K320000697273
20738572280100K100000231598
22288530258100K100000234636
58105788255100K100000176343
88225606253100K100000294547
85824053249100K100000293349
94036929242100K100000297313
21515358237100K100000233244
70841121236100K100000285004
55558202236100K100000274430
75185682233100K100000287564
Base CK Count of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2223893591235100K100000234636
19765174525200K200000255751
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
68468715975.6M56000004357648
101017644212M20000002000001
22446136565M50000006712114
1333684926600K6000001274311
366210917472M20000005126963
253190418541M10000002403121
1031158924600K6000001207703
736870560400K4000001146752
278047065M50000007156819
610753234500K5000001392665
50571468600K6000001621975
49663857600K6000001617290
93612424779K7790001533449
213534294600K6000001397028
469516422600K6000001602704
333502161M10000002522445
234764042M20000002723456
967408242500K5000001492714
163372254600K6000001327313
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
4302241315321600K6000001580082
7011077104381M10000001845099
10917576662M20000002000001
22669451282M20000002684846
148447123611M10000002170262
75408613121.3M13000002437580
112350216961M10000002049219
9234420365M50000004771213
4322561661M10000001633469
11721841474800K8000001654549
21718541356600K6000001401876
25612218311M10000002408240
52010063691M10000002716004
275383982M20000002862728
781528370400K4000001157061
850369252400K4000001171768
816343153400K4000001164677
88332466500K5000001472981
3403091991M10000002531479
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
101942600K6000001804905
39887600K6000001559930
548137600K6000001643269
812134400K4000001163823
2331410600K6000001420414
662147500K5000001410429
6681411400K4000001129911
4581611700K7000001862606
815168400K4000001164464
968164500K5000001492938
10252081.075M10750003236529
275224600K6000001463600
321228600K6000001503904
5512210600K6000001644691
6362791M10000002803458
17328221M10000002238047
3472822600K6000001524198
6952826400K4000001136794
7822814400K4000001157283
7433214400K4000001148396
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
100442600K6000001801041
91442400K4000001184379
174641M10000002240550
230841M10000002361728
335841M10000002525045
46182600K6000001598221
46784900K9000002402386
2631081M10000002419956
428108600K6000001578867
758108500K5000001439835
828128500K5000001459016
1551441.575M15750003449773
74014131M10000002869232
9351410400K4000001188325
353168700K7000001783443
497168600K6000001617814
803164500K5000001452358
866168500K5000001468759
917162500K5000001481185
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, 143618M80000002408240
61134849642, 10572600K6000001071198
21746881376, 2642500K5000001168230
93139601854, 3812400K4000001187580
11238431662, 3327500K5000001024610
16232592118, 2841500K5000001104758
31590064, 552500K5000001249156
667834288, 344300K300000847238
471750302, 408500K5000001336511
463668216, 356500K5000001332791
436645162, 344500K5000001319744
288613339, 509500K5000001229697
406593260, 297500K5000001304264
532573156, 204300K300000817774
409534284, 344500K5000001305862
1003396252, 318300K300000900391
94538642, 302400K4000001190173
33737838, 222500K5000001263815
28132838, 314500K5000001224354
98830047, 93300K300000898428
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
284554871, 45521M10000001447159
4929441414, 14561M10000001690197
3151642550, 836500K5000001249156
15713441174, 1228500K5000001097950
4631188616, 1072500K5000001332791
2281146327, 915500K5000001178968
30867278, 5881M10000001477122
376610246, 298500K5000001287594
703538354, 474300K300000854087
859474136, 250300K300000880198
83547494, 276300K300000876506
95841248, 363400K4000001192547
433342118, 264300K300000790947
3653042, 176500K5000001281147
7702568, 11300K300000865948
76623558, 222300K300000865269
790225127, 160300K300000869289
2622165, 1551M10000001414974
51021857, 195300K300000812272
44720486, 148300K300000795093

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, 26300K300000884378
7374014, 22300K300000860241
1585229, 44500K5000001099329
7746125, 30300K300000866623
6026858, 66300K300000833879
8036814, 52300K300000871415
2187453, 59500K5000001169229
4978214, 56500K5000001348179
588943, 16500K5000001384689
32010673, 103500K5000001252575
53410629, 59300K300000818263
98011010, 31400K4000001196491
56411439, 86500K5000001375640
63412620, 29300K300000840627
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, 8300K300000831917
6202212, 13300K300000837718
542322, 13300K300000820200
993366, 8520K5200001558414
332384, 16700K7000001764797
8873816, 34300K300000884378
5305814, 52300K300000817283
774616, 19300K300000866623
334664, 51500K5000001261874
8326936, 67500K5000001460062
2368053, 67500K5000001186457
6848634, 41300K300000850517
4728721, 67500K5000001336971
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, 5468800K8000001476079
6731441274, 2228, 2846400K400000730430
3191526614, 1356, 1506300K300000751138
1721262219, 387, 1140300K300000670659
1001116870, 170, 994300K300000900131
5201128324, 576, 1094300K300000814802
526900125, 273, 630300K300000816296
601818300, 482, 744300K300000833663
32769638, 204, 370715K7150001797902
370531188, 225, 405300K300000770461
81634318, 113, 204300K300000873508
798339188, 283, 307300K300000870601
8025310, 31, 214400K400000761236
64823721, 186, 188500K5000001405788
98419699, 119, 191300K300000897899
59019698, 109, 152300K300000831256
89218948, 96, 170400K4000001180146
98717058, 94, 118300K300000898296
50016638, 53, 82300K300000809692
89314822, 44, 94300K300000885256
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
2 odd-n952839267, 32247, 5313310M100000003010300
16529741252, 1486, 1798300K300000665246
37260494, 1272, 22241M10000001568202
1002469433, 922, 21451M10000002000001
133194488, 1138, 1336300K300000637156
5071142380, 702, 984300K300000811503
985900526, 666, 766400K4000001197375
249824436, 684, 706500K5000001198100
811552252, 450, 538300K300000872707
945386186, 296, 320400K4000001190173
19130252, 68, 172300K300000684311
75430199, 159, 199300K300000863212
102293122, 178, 236400K400000803441
92228530, 138, 214300K300000889420
5582598, 183, 198300K300000823991
716238106, 121, 166300K300000856474
873208116, 150, 206400K4000001176406
94220640, 137, 139400K4000001189621
573204106, 132, 202500K5000001379078
50420179, 94, 116300K300000810730

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, 44300K300000788210
4467413, 55, 64300K300000794801
92010353, 61, 76500K5000001481894
72010420, 27, 83300K300000857200
29811627, 92, 105300K300000742265
38012838, 50, 79300K300000773936
41013647, 58, 64300K300000783836
89314822, 44, 94300K300000885256
50016638, 53, 82300K300000809692
98717058, 94, 118300K300000898296
89218948, 96, 170400K4000001180146
59019698, 109, 152300K300000831256
98419699, 119, 191300K300000897899
64823721, 186, 188500K5000001405788
8025310, 31, 214400K400000761236
798339188, 283, 307300K300000870601
81634318, 113, 204300K300000873508
370531188, 225, 405300K300000770461
32769638, 204, 370715K7150001797902
Base CK List of
Remaining k
Tested N Test Limit Mininum
Decimal
Length
878232, 13, 17400K4000001177398
368408, 12, 34400K4000001026340
7884014, 16, 38300K300000868958
422468, 13, 17500K5000001312657
5786817, 31, 38300K300000828579
8426813, 19, 31400K4000001170125
710808, 47, 52300K300000855378
767804, 16, 52400K4000001153919
947802, 34, 68400K4000001190540
2909873, 88, 91300K300000738720
8729819, 46, 68400K4000001176207
90511862, 68, 88400K4000001182660
6471242, 74, 100300K300000843272
76112816, 32, 92300K300000864416
39213023, 94, 103500K5000001296644
35414112, 75, 134400K4000001019602
53617813, 75, 81300K300000818750
4431848, 22, 94500K5000001323202
89218746, 93, 151500K5000001475183
984196129, 160, 194300K300000897899

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