Documentation
LeanPool
.
Zeta5Irrational
.
Table
.
U50
Search
return to top
source
Imports
Init
LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_604_1
Zeta5Irrational
.
U_604_2
Zeta5Irrational
.
U_604_3
Zeta5Irrational
.
U_604_4
Zeta5Irrational
.
U_604_5
Zeta5Irrational
.
U_604_6
Zeta5Irrational
.
U_604_7
Zeta5Irrational
.
U_604_8
Zeta5Irrational
.
U_604_9
Zeta5Irrational
.
U_604_10
Zeta5Irrational
.
U_604_11
Zeta5Irrational
.
U_604_12
Zeta5Irrational
.
U_604_13
Zeta5Irrational
.
U_604_14
Zeta5Irrational
.
U_604_15
Zeta5Irrational
.
U_604_16
Zeta5Irrational
.
U_604
Zeta5Irrational
.
U_605_1
Zeta5Irrational
.
U_605_2
Zeta5Irrational
.
U_605_3
Zeta5Irrational
.
U_605_4
Zeta5Irrational
.
U_605_5
Zeta5Irrational
.
U_605_6
Zeta5Irrational
.
U_605_7
Zeta5Irrational
.
U_605_8
Zeta5Irrational
.
U_605_9
Zeta5Irrational
.
U_605_10
Zeta5Irrational
.
U_605_11
Zeta5Irrational
.
U_605_12
Zeta5Irrational
.
U_605_13
Zeta5Irrational
.
U_605_14
Zeta5Irrational
.
U_605_15
Zeta5Irrational
.
U_605_16
Zeta5Irrational
.
U_605
Zeta5Irrational
.
U_606_1
Zeta5Irrational
.
U_606_2
Zeta5Irrational
.
U_606_3
Zeta5Irrational
.
U_606_4
Zeta5Irrational
.
U_606_5
Zeta5Irrational
.
U_606_6
Zeta5Irrational
.
U_606_7
Zeta5Irrational
.
U_606_8
Zeta5Irrational
.
U_606_9
Zeta5Irrational
.
U_606_10
Zeta5Irrational
.
U_606_11
Zeta5Irrational
.
U_606_12
Zeta5Irrational
.
U_606_13
Zeta5Irrational
.
U_606_14
Zeta5Irrational
.
U_606_15
Zeta5Irrational
.
U_606_16
Zeta5Irrational
.
U_606
Zeta5Irrational
.
U_607_1
Zeta5Irrational
.
U_607_2
Zeta5Irrational
.
U_607_3
Zeta5Irrational
.
U_607_4
Zeta5Irrational
.
U_607_5
Zeta5Irrational
.
U_607_6
Zeta5Irrational
.
U_607_7
Zeta5Irrational
.
U_607_8
Zeta5Irrational
.
U_607_9
Zeta5Irrational
.
U_607_10
Zeta5Irrational
.
U_607_11
Zeta5Irrational
.
U_607_12
Zeta5Irrational
.
U_607_13
Zeta5Irrational
.
U_607_14
Zeta5Irrational
.
U_607_15
Zeta5Irrational
.
U_607_16
Zeta5Irrational
.
U_607
Zeta5Irrational
.
U_608_1
Zeta5Irrational
.
U_608_2
Zeta5Irrational
.
U_608_3
Zeta5Irrational
.
U_608_4
Zeta5Irrational
.
U_608_5
Zeta5Irrational
.
U_608_6
Zeta5Irrational
.
U_608_7
Zeta5Irrational
.
U_608_8
Zeta5Irrational
.
U_608_9
Zeta5Irrational
.
U_608_10
Zeta5Irrational
.
U_608_11
Zeta5Irrational
.
U_608_12
Zeta5Irrational
.
U_608_13
Zeta5Irrational
.
U_608_14
Zeta5Irrational
.
U_608_15
Zeta5Irrational
.
U_608_16
Zeta5Irrational
.
U_608
Zeta5Irrational
.
U_609_1
Zeta5Irrational
.
U_609_2
Zeta5Irrational
.
U_609_3
Zeta5Irrational
.
U_609_4
Zeta5Irrational
.
U_609_5
Zeta5Irrational
.
U_609_6
Zeta5Irrational
.
U_609_7
Zeta5Irrational
.
U_609_8
Zeta5Irrational
.
U_609_9
Zeta5Irrational
.
U_609_10
Zeta5Irrational
.
U_609_11
Zeta5Irrational
.
U_609_12
Zeta5Irrational
.
U_609_13
Zeta5Irrational
.
U_609_14
Zeta5Irrational
.
U_609_15
Zeta5Irrational
.
U_609_16
Zeta5Irrational
.
U_609
Zeta5Irrational
.
U_610_1
Zeta5Irrational
.
U_610_2
Zeta5Irrational
.
U_610_3
Zeta5Irrational
.
U_610_4
Zeta5Irrational
.
U_610_5
Zeta5Irrational
.
U_610_6
Zeta5Irrational
.
U_610_7
Zeta5Irrational
.
U_610_8
Zeta5Irrational
.
U_610_9
Zeta5Irrational
.
U_610_10
Zeta5Irrational
.
U_610_11
Zeta5Irrational
.
U_610_12
Zeta5Irrational
.
U_610_13
Zeta5Irrational
.
U_610_14
Zeta5Irrational
.
U_610_15
Zeta5Irrational
.
U_610_16
Zeta5Irrational
.
U_610
Zeta5Irrational
.
U_611_1
Zeta5Irrational
.
U_611_2
Zeta5Irrational
.
U_611_3
Zeta5Irrational
.
U_611_4
Zeta5Irrational
.
U_611_5
Zeta5Irrational
.
U_611_6
Zeta5Irrational
.
U_611_7
Zeta5Irrational
.
U_611_8
Zeta5Irrational
.
U_611_9
Zeta5Irrational
.
U_611_10
Zeta5Irrational
.
U_611_11
Zeta5Irrational
.
U_611_12
Zeta5Irrational
.
U_611_13
Zeta5Irrational
.
U_611_14
Zeta5Irrational
.
U_611_15
Zeta5Irrational
.
U_611_16
Zeta5Irrational
.
U_611
Zeta5Irrational
.
U_612_1
Zeta5Irrational
.
U_612_2
Zeta5Irrational
.
U_612_3
Zeta5Irrational
.
U_612_4
Zeta5Irrational
.
U_612_5
Zeta5Irrational
.
U_612_6
Zeta5Irrational
.
U_612_7
Zeta5Irrational
.
U_612_8
Zeta5Irrational
.
U_612_9
Zeta5Irrational
.
U_612_10
Zeta5Irrational
.
U_612_11
Zeta5Irrational
.
U_612_12
Zeta5Irrational
.
U_612_13
Zeta5Irrational
.
U_612_14
Zeta5Irrational
.
U_612_15
Zeta5Irrational
.
U_612_16
Zeta5Irrational
.
U_612
Zeta5Irrational
.
U_613_1
Zeta5Irrational
.
U_613_2
Zeta5Irrational
.
U_613_3
Zeta5Irrational
.
U_613_4
Zeta5Irrational
.
U_613_5
Zeta5Irrational
.
U_613_6
Zeta5Irrational
.
U_613_7
Zeta5Irrational
.
U_613_8
Zeta5Irrational
.
U_613_9
Zeta5Irrational
.
U_613_10
Zeta5Irrational
.
U_613_11
Zeta5Irrational
.
U_613_12
Zeta5Irrational
.
U_613_13
Zeta5Irrational
.
U_613_14
Zeta5Irrational
.
U_613_15
Zeta5Irrational
.
U_613_16
Zeta5Irrational
.
U_613
Zeta5Irrational
.
U_614_1
Zeta5Irrational
.
U_614_2
Zeta5Irrational
.
U_614_3
Zeta5Irrational
.
U_614_4
Zeta5Irrational
.
U_614_5
Zeta5Irrational
.
U_614_6
Zeta5Irrational
.
U_614_7
Zeta5Irrational
.
U_614_8
Zeta5Irrational
.
U_614_9
Zeta5Irrational
.
U_614_10
Zeta5Irrational
.
U_614_11
Zeta5Irrational
.
U_614_12
Zeta5Irrational
.
U_614_13
Zeta5Irrational
.
U_614_14
Zeta5Irrational
.
U_614_15
Zeta5Irrational
.
U_614_16
Zeta5Irrational
.
U_614
Zeta5Irrational
.
U_615_1
Zeta5Irrational
.
U_615_2
Zeta5Irrational
.
U_615_3
Zeta5Irrational
.
U_615_4
Zeta5Irrational
.
U_615_5
Zeta5Irrational
.
U_615_6
Zeta5Irrational
.
U_615_7
Zeta5Irrational
.
U_615_8
Zeta5Irrational
.
U_615_9
Zeta5Irrational
.
U_615_10
Zeta5Irrational
.
U_615_11
Zeta5Irrational
.
U_615_12
Zeta5Irrational
.
U_615_13
Zeta5Irrational
.
U_615_14
Zeta5Irrational
.
U_615_15
Zeta5Irrational
.
U_615_16
Zeta5Irrational
.
U_615
Certified arcsine potential bounds (U50)
#
source
theorem
Zeta5Irrational
.
U_604_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5573527036009
/
8000000000000
)
≤
-
(
185358815803223170541
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5573527036009
/
8000000000000
)
≤
-
(
3741861849853575925477
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5573527036009
/
8000000000000
)
≤
-
(
762314428217885278549
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5573527036009
/
8000000000000
)
≤
-
(
392836090377941199433
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5573527036009
/
8000000000000
)
≤
-
(
2054338537821379043431
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5573527036009
/
8000000000000
)
≤
-
(
1093155636640941648659
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5573527036009
/
8000000000000
)
≤
-
(
948658707005702538837
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5573527036009
/
8000000000000
)
≤
-
(
5246381739293769484407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5573527036009
/
8000000000000
)
≤
-
(
591028782044301194203
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5573527036009
/
8000000000000
)
≤
-
(
6767284209621708981663
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5573527036009
/
8000000000000
)
≤
-
(
1964276446295185408741
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5573527036009
/
8000000000000
)
≤
-
(
9237298431489610316859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5573527036009
/
8000000000000
)
≤
-
(
440752782161147218229
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5573527036009
/
8000000000000
)
≤
-
(
13569695675472187431089
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5573527036009
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_604_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5573527036009
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_604
:
Uρ
(
5573527036009
/
8000000000000
)
≤
-
(
392603247597578016043
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4469205467533
/
6400000000000
)
≤
-
(
3683697828136284471879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4469205467533
/
6400000000000
)
≤
-
(
743660286677977302009
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4469205467533
/
6400000000000
)
≤
-
(
236740360101894332047
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4469205467533
/
6400000000000
)
≤
-
(
488044063950332874121
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4469205467533
/
6400000000000
)
≤
-
(
1021055811405140322069
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4469205467533
/
6400000000000
)
≤
-
(
4347493813142281048483
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4469205467533
/
6400000000000
)
≤
-
(
235858409498393209151
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4469205467533
/
6400000000000
)
≤
-
(
5218804088661256319739
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4469205467533
/
6400000000000
)
≤
-
(
1470148674486619797487
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4469205467533
/
6400000000000
)
≤
-
(
3367231395774420070013
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4469205467533
/
6400000000000
)
≤
-
(
977435570934079413611
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4469205467533
/
6400000000000
)
≤
-
(
4595875065596004995123
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4469205467533
/
6400000000000
)
≤
-
(
10958002953060884909373
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4469205467533
/
6400000000000
)
≤
-
(
6731579740574347026997
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4469205467533
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_605_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4469205467533
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_605
:
Uρ
(
4469205467533
/
6400000000000
)
≤
-
(
781257351911533191943
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11198973265647
/
16000000000000
)
≤
-
(
36602743354238826769
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11198973265647
/
16000000000000
)
≤
-
(
1847398199132677266083
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11198973265647
/
16000000000000
)
≤
-
(
47052194398732723493
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11198973265647
/
16000000000000
)
≤
-
(
1940200824024491061991
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11198973265647
/
16000000000000
)
≤
-
(
4059829140506769287007
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11198973265647
/
16000000000000
)
≤
-
(
2161214125510321744941
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11198973265647
/
16000000000000
)
≤
-
(
4691111374317235430867
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11198973265647
/
16000000000000
)
≤
-
(
2595651686485454946769
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11198973265647
/
16000000000000
)
≤
-
(
5850992094238623056519
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11198973265647
/
16000000000000
)
≤
-
(
837719390211303050617
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11198973265647
/
16000000000000
)
≤
-
(
7782020821850845249701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11198973265647
/
16000000000000
)
≤
-
(
2286614058101796570093
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11198973265647
/
16000000000000
)
≤
-
(
5448867091589979705297
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11198973265647
/
16000000000000
)
≤
-
(
13359251881499432432203
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11198973265647
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_606_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11198973265647
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_606
:
Uρ
(
11198973265647
/
16000000000000
)
≤
-
(
1554673099640420038419
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22449865724923
/
32000000000000
)
≤
-
(
727381116177924738757
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22449865724923
/
32000000000000
)
≤
-
(
1835673242359555576149
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22449865724923
/
32000000000000
)
≤
-
(
748112249305770301769
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22449865724923
/
32000000000000
)
≤
-
(
3856508037953090883837
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22449865724923
/
32000000000000
)
≤
-
(
4035494468925474550957
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22449865724923
/
32000000000000
)
≤
-
(
4297425542463654092731
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22449865724923
/
32000000000000
)
≤
-
(
466512272714342381551
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22449865724923
/
32000000000000
)
≤
-
(
1032775831632319691089
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22449865724923
/
32000000000000
)
≤
-
(
29107397217795261913
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22449865724923
/
32000000000000
)
≤
-
(
666916037184109468323
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22449865724923
/
32000000000000
)
≤
-
(
193617827665090779411
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22449865724923
/
32000000000000
)
≤
-
(
9101413433336903069591
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22449865724923
/
32000000000000
)
≤
-
(
2709500208247898408319
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22449865724923
/
32000000000000
)
≤
-
(
1325779785845717507177
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22449865724923
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_607_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22449865724923
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_607
:
Uρ
(
22449865724923
/
32000000000000
)
≤
-
(
6187543587831002428899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2812723114819
/
4000000000000
)
≤
-
(
3613591309293704288903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2812723114819
/
4000000000000
)
≤
-
(
1823975717406834395501
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2812723114819
/
4000000000000
)
≤
-
(
29039082672124137669
/
78125000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2812723114819
/
4000000000000
)
≤
-
(
479083926015013648739
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2812723114819
/
4000000000000
)
≤
-
(
2005609470815187270507
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2812723114819
/
4000000000000
)
≤
-
(
4272485372134123980927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2812723114819
/
4000000000000
)
≤
-
(
4639201890375419235181
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2812723114819
/
4000000000000
)
≤
-
(
1027306202776836780947
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2812723114819
/
4000000000000
)
≤
-
(
579205618557146584257
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2812723114819
/
4000000000000
)
≤
-
(
3318338861609870053377
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2812723114819
/
4000000000000
)
≤
-
(
481722500072513733311
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2812723114819
/
4000000000000
)
≤
-
(
4528309251245035771429
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2812723114819
/
4000000000000
)
≤
-
(
538939547868169931167
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2812723114819
/
4000000000000
)
≤
-
(
13158641155386919367299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2812723114819
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_608_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2812723114819
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_608
:
Uρ
(
2812723114819
/
4000000000000
)
≤
-
(
6156604129477609587247
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22553704112181
/
32000000000000
)
≤
-
(
718066253435485445603
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22553704112181
/
32000000000000
)
≤
-
(
1812305496208947558473
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22553704112181
/
32000000000000
)
≤
-
(
1846749648388671706299
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22553704112181
/
32000000000000
)
≤
-
(
119027858978336842039
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22553704112181
/
32000000000000
)
≤
-
(
797400454296810172779
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22553704112181
/
32000000000000
)
≤
-
(
212380371353436732361
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22553704112181
/
32000000000000
)
≤
-
(
2306674254387015104923
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22553704112181
/
32000000000000
)
≤
-
(
5109258513458795500777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22553704112181
/
32000000000000
)
≤
-
(
720340220661621150801
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22553704112181
/
32000000000000
)
≤
-
(
1651076591580467623333
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22553704112181
/
32000000000000
)
≤
-
(
3835280052829488580907
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22553704112181
/
32000000000000
)
≤
-
(
2253017069146923309059
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22553704112181
/
32000000000000
)
≤
-
(
2144018610618247468463
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22553704112181
/
32000000000000
)
≤
-
(
6530820785372481273627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22553704112181
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_609_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22553704112181
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_609
:
Uρ
(
22553704112181
/
32000000000000
)
≤
-
(
6125866517931195617109
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2260562330581
/
3200000000000
)
≤
-
(
3567125202846665950607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2260562330581
/
3200000000000
)
≤
-
(
720264980638036197189
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2260562330581
/
3200000000000
)
≤
-
(
146802045239044294797
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2260562330581
/
3200000000000
)
≤
-
(
1892584003101455628531
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2260562330581
/
3200000000000
)
≤
-
(
3962844173437486658913
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2260562330581
/
3200000000000
)
≤
-
(
2111395698327103507627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2260562330581
/
3200000000000
)
≤
-
(
4587562229901919172883
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2260562330581
/
3200000000000
)
≤
-
(
2541030616916354549827
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2260562330581
/
3200000000000
)
≤
-
(
179171113532017318017
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2260562330581
/
3200000000000
)
≤
-
(
821505687596867965743
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2260562330581
/
3200000000000
)
≤
-
(
7633712040526915893759
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2260562330581
/
3200000000000
)
≤
-
(
8967759658547838351263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2260562330581
/
3200000000000
)
≤
-
(
10661896036179101416151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2260562330581
/
3200000000000
)
≤
-
(
6483336367110149200723
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2260562330581
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_610_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2260562330581
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_610
:
Uρ
(
2260562330581
/
3200000000000
)
≤
-
(
3047661947672350956073
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22657542499439
/
32000000000000
)
≤
-
(
1771986433177761046279
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22657542499439
/
32000000000000
)
≤
-
(
715618582912362501781
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22657542499439
/
32000000000000
)
≤
-
(
91166445666578071919
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22657542499439
/
32000000000000
)
≤
-
(
3761500697413053400093
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22657542499439
/
32000000000000
)
≤
-
(
1969372182254922753893
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22657542499439
/
32000000000000
)
≤
-
(
4198036972603761804577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22657542499439
/
32000000000000
)
≤
-
(
912368540818807209291
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22657542499439
/
32000000000000
)
≤
-
(
5054938755538850791503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22657542499439
/
32000000000000
)
≤
-
(
713039655535341428553
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22657542499439
/
32000000000000
)
≤
-
(
6539894335196580513757
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22657542499439
/
32000000000000
)
≤
-
(
1899253611517541986453
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22657542499439
/
32000000000000
)
≤
-
(
8923689615546948989069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22657542499439
/
32000000000000
)
≤
-
(
1325523652575441464269
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22657542499439
/
32000000000000
)
≤
-
(
3218405066046634124583
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22657542499439
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_611_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22657542499439
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_611
:
Uρ
(
22657542499439
/
32000000000000
)
≤
-
(
1516242492074414445773
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5677365423267
/
8000000000000
)
≤
-
(
704174801898035062819
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5677365423267
/
8000000000000
)
≤
-
(
888728693930132351883
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5677365423267
/
8000000000000
)
≤
-
(
3623319127680336539177
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5677365423267
/
8000000000000
)
≤
-
(
116809040482449137779
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5677365423267
/
8000000000000
)
≤
-
(
1957351281884243234707
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5677365423267
/
8000000000000
)
≤
-
(
4173343848933882049953
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5677365423267
/
8000000000000
)
≤
-
(
2268094792214219806731
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5677365423267
/
8000000000000
)
≤
-
(
2513945331327445238627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5677365423267
/
8000000000000
)
≤
-
(
5675246059732281515241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5677365423267
/
8000000000000
)
≤
-
(
650785208705559288509
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5677365423267
/
8000000000000
)
≤
-
(
7560465982075085006291
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5677365423267
/
8000000000000
)
≤
-
(
8879855177153937258143
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5677365423267
/
8000000000000
)
≤
-
(
2636740574611385909277
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5677365423267
/
8000000000000
)
≤
-
(
12782380229451382714503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5677365423267
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_612_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5677365423267
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_612
:
Uρ
(
5677365423267
/
8000000000000
)
≤
-
(
48278391504829887333
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22761380886697
/
32000000000000
)
≤
-
(
874457096438228208609
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22761380886697
/
32000000000000
)
≤
-
(
3531790237594273493879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22761380886697
/
32000000000000
)
≤
-
(
3600034779659862000939
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22761380886697
/
32000000000000
)
≤
-
(
371433353665875078499
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22761380886697
/
32000000000000
)
≤
-
(
486339811538652721501
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22761380886697
/
32000000000000
)
≤
-
(
1037177930485340854641
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22761380886697
/
32000000000000
)
≤
-
(
902120505339501589781
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22761380886697
/
32000000000000
)
≤
-
(
1250229135690731567857
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22761380886697
/
32000000000000
)
≤
-
(
141156538628002730241
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22761380886697
/
32000000000000
)
≤
-
(
6475917982535767971497
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22761380886697
/
32000000000000
)
≤
-
(
7524065327419626836843
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22761380886697
/
32000000000000
)
≤
-
(
8836253433533761614819
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22761380886697
/
32000000000000
)
≤
-
(
2098041064256764806811
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22761380886697
/
32000000000000
)
≤
-
(
1586607232003425158267
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22761380886697
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_613_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22761380886697
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_613
:
Uρ
(
22761380886697
/
32000000000000
)
≤
-
(
6004805442082874770883
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11406650040163
/
16000000000000
)
≤
-
(
347483575034634540937
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11406650040163
/
16000000000000
)
≤
-
(
350871905283512890253
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11406650040163
/
16000000000000
)
≤
-
(
894201132501833096559
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11406650040163
/
16000000000000
)
≤
-
(
3690833159315097836869
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11406650040163
/
16000000000000
)
≤
-
(
3866791873236816182813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11406650040163
/
16000000000000
)
≤
-
(
412414029018064730309
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11406650040163
/
16000000000000
)
≤
-
(
897016237875904629603
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11406650040163
/
16000000000000
)
≤
-
(
4974015986909744955749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11406650040163
/
16000000000000
)
≤
-
(
1404340792802545254119
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11406650040163
/
16000000000000
)
≤
-
(
6444091256402327224063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11406650040163
/
16000000000000
)
≤
-
(
7487811179694703890357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11406650040163
/
16000000000000
)
≤
-
(
8792881533717337725777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11406650040163
/
16000000000000
)
≤
-
(
5216954341376271766899
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11406650040163
/
16000000000000
)
≤
-
(
6302483216415656992739
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11406650040163
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_614_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11406650040163
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_614
:
Uρ
(
11406650040163
/
16000000000000
)
≤
-
(
5974984503744520764127
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
89520072139
/
125000000000
)
≤
-
(
3429008473743938263037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
89520072139
/
125000000000
)
≤
-
(
432841970319017025881
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
89520072139
/
125000000000
)
≤
-
(
882626331049433886807
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
89520072139
/
125000000000
)
≤
-
(
728799502219952959019
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
89520072139
/
125000000000
)
≤
-
(
954777473650250097291
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
89520072139
/
125000000000
)
≤
-
(
1018794579431653135779
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
89520072139
/
125000000000
)
≤
-
(
4434234323157178674073
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
89520072139
/
125000000000
)
≤
-
(
307527121787241753561
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
89520072139
/
125000000000
)
≤
-
(
5559822753255195245599
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
89520072139
/
125000000000
)
≤
-
(
6380756920479711852741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
89520072139
/
125000000000
)
≤
-
(
1853934321690048881789
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
89520072139
/
125000000000
)
≤
-
(
272088004562792016049
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
89520072139
/
125000000000
)
≤
-
(
5161329804599260628999
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
89520072139
/
125000000000
)
≤
-
(
6216882226043502495963
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
89520072139
/
125000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_615_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
89520072139
/
125000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_615
:
Uρ
(
89520072139
/
125000000000
)
≤
-
(
5915842076011854104723
/
10000000000000000000000
)