Documentation
LeanPool
.
Zeta5Irrational
.
Table
.
U07
Search
return to top
source
Imports
Init
LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_88_1
Zeta5Irrational
.
U_88_2
Zeta5Irrational
.
U_88_3
Zeta5Irrational
.
U_88_4
Zeta5Irrational
.
U_88_5
Zeta5Irrational
.
U_88_6
Zeta5Irrational
.
U_88_7
Zeta5Irrational
.
U_88_8
Zeta5Irrational
.
U_88_9
Zeta5Irrational
.
U_88_10
Zeta5Irrational
.
U_88_11
Zeta5Irrational
.
U_88_12
Zeta5Irrational
.
U_88_13
Zeta5Irrational
.
U_88_14
Zeta5Irrational
.
U_88_15
Zeta5Irrational
.
U_88_16
Zeta5Irrational
.
U_88
Zeta5Irrational
.
U_89_1
Zeta5Irrational
.
U_89_2
Zeta5Irrational
.
U_89_3
Zeta5Irrational
.
U_89_4
Zeta5Irrational
.
U_89_5
Zeta5Irrational
.
U_89_6
Zeta5Irrational
.
U_89_7
Zeta5Irrational
.
U_89_8
Zeta5Irrational
.
U_89_9
Zeta5Irrational
.
U_89_10
Zeta5Irrational
.
U_89_11
Zeta5Irrational
.
U_89_12
Zeta5Irrational
.
U_89_13
Zeta5Irrational
.
U_89_14
Zeta5Irrational
.
U_89_15
Zeta5Irrational
.
U_89_16
Zeta5Irrational
.
U_89
Zeta5Irrational
.
U_90_1
Zeta5Irrational
.
U_90_2
Zeta5Irrational
.
U_90_3
Zeta5Irrational
.
U_90_4
Zeta5Irrational
.
U_90_5
Zeta5Irrational
.
U_90_6
Zeta5Irrational
.
U_90_7
Zeta5Irrational
.
U_90_8
Zeta5Irrational
.
U_90_9
Zeta5Irrational
.
U_90_10
Zeta5Irrational
.
U_90_11
Zeta5Irrational
.
U_90_12
Zeta5Irrational
.
U_90_13
Zeta5Irrational
.
U_90_14
Zeta5Irrational
.
U_90_15
Zeta5Irrational
.
U_90_16
Zeta5Irrational
.
U_90
Zeta5Irrational
.
U_91_1
Zeta5Irrational
.
U_91_2
Zeta5Irrational
.
U_91_3
Zeta5Irrational
.
U_91_4
Zeta5Irrational
.
U_91_5
Zeta5Irrational
.
U_91_6
Zeta5Irrational
.
U_91_7
Zeta5Irrational
.
U_91_8
Zeta5Irrational
.
U_91_9
Zeta5Irrational
.
U_91_10
Zeta5Irrational
.
U_91_11
Zeta5Irrational
.
U_91_12
Zeta5Irrational
.
U_91_13
Zeta5Irrational
.
U_91_14
Zeta5Irrational
.
U_91_15
Zeta5Irrational
.
U_91_16
Zeta5Irrational
.
U_91
Zeta5Irrational
.
U_92_1
Zeta5Irrational
.
U_92_2
Zeta5Irrational
.
U_92_3
Zeta5Irrational
.
U_92_4
Zeta5Irrational
.
U_92_5
Zeta5Irrational
.
U_92_6
Zeta5Irrational
.
U_92_7
Zeta5Irrational
.
U_92_8
Zeta5Irrational
.
U_92_9
Zeta5Irrational
.
U_92_10
Zeta5Irrational
.
U_92_11
Zeta5Irrational
.
U_92_12
Zeta5Irrational
.
U_92_13
Zeta5Irrational
.
U_92_14
Zeta5Irrational
.
U_92_15
Zeta5Irrational
.
U_92_16
Zeta5Irrational
.
U_92
Zeta5Irrational
.
U_93_1
Zeta5Irrational
.
U_93_2
Zeta5Irrational
.
U_93_3
Zeta5Irrational
.
U_93_4
Zeta5Irrational
.
U_93_5
Zeta5Irrational
.
U_93_6
Zeta5Irrational
.
U_93_7
Zeta5Irrational
.
U_93_8
Zeta5Irrational
.
U_93_9
Zeta5Irrational
.
U_93_10
Zeta5Irrational
.
U_93_11
Zeta5Irrational
.
U_93_12
Zeta5Irrational
.
U_93_13
Zeta5Irrational
.
U_93_14
Zeta5Irrational
.
U_93_15
Zeta5Irrational
.
U_93_16
Zeta5Irrational
.
U_93
Zeta5Irrational
.
U_94_1
Zeta5Irrational
.
U_94_2
Zeta5Irrational
.
U_94_3
Zeta5Irrational
.
U_94_4
Zeta5Irrational
.
U_94_5
Zeta5Irrational
.
U_94_6
Zeta5Irrational
.
U_94_7
Zeta5Irrational
.
U_94_8
Zeta5Irrational
.
U_94_9
Zeta5Irrational
.
U_94_10
Zeta5Irrational
.
U_94_11
Zeta5Irrational
.
U_94_12
Zeta5Irrational
.
U_94_13
Zeta5Irrational
.
U_94_14
Zeta5Irrational
.
U_94_15
Zeta5Irrational
.
U_94_16
Zeta5Irrational
.
U_94
Zeta5Irrational
.
U_95_1
Zeta5Irrational
.
U_95_2
Zeta5Irrational
.
U_95_3
Zeta5Irrational
.
U_95_4
Zeta5Irrational
.
U_95_5
Zeta5Irrational
.
U_95_6
Zeta5Irrational
.
U_95_7
Zeta5Irrational
.
U_95_8
Zeta5Irrational
.
U_95_9
Zeta5Irrational
.
U_95_10
Zeta5Irrational
.
U_95_11
Zeta5Irrational
.
U_95_12
Zeta5Irrational
.
U_95_13
Zeta5Irrational
.
U_95_14
Zeta5Irrational
.
U_95_15
Zeta5Irrational
.
U_95_16
Zeta5Irrational
.
U_95
Zeta5Irrational
.
U_96_1
Zeta5Irrational
.
U_96_2
Zeta5Irrational
.
U_96_3
Zeta5Irrational
.
U_96_4
Zeta5Irrational
.
U_96_5
Zeta5Irrational
.
U_96_6
Zeta5Irrational
.
U_96_7
Zeta5Irrational
.
U_96_8
Zeta5Irrational
.
U_96_9
Zeta5Irrational
.
U_96_10
Zeta5Irrational
.
U_96_11
Zeta5Irrational
.
U_96_12
Zeta5Irrational
.
U_96_13
Zeta5Irrational
.
U_96_14
Zeta5Irrational
.
U_96_15
Zeta5Irrational
.
U_96_16
Zeta5Irrational
.
U_96
Zeta5Irrational
.
U_97_1
Zeta5Irrational
.
U_97_2
Zeta5Irrational
.
U_97_3
Zeta5Irrational
.
U_97_4
Zeta5Irrational
.
U_97_5
Zeta5Irrational
.
U_97_6
Zeta5Irrational
.
U_97_7
Zeta5Irrational
.
U_97_8
Zeta5Irrational
.
U_97_9
Zeta5Irrational
.
U_97_10
Zeta5Irrational
.
U_97_11
Zeta5Irrational
.
U_97_12
Zeta5Irrational
.
U_97_13
Zeta5Irrational
.
U_97_14
Zeta5Irrational
.
U_97_15
Zeta5Irrational
.
U_97_16
Zeta5Irrational
.
U_97
Zeta5Irrational
.
U_98_1
Zeta5Irrational
.
U_98_2
Zeta5Irrational
.
U_98_3
Zeta5Irrational
.
U_98_4
Zeta5Irrational
.
U_98_5
Zeta5Irrational
.
U_98_6
Zeta5Irrational
.
U_98_7
Zeta5Irrational
.
U_98_8
Zeta5Irrational
.
U_98_9
Zeta5Irrational
.
U_98_10
Zeta5Irrational
.
U_98_11
Zeta5Irrational
.
U_98_12
Zeta5Irrational
.
U_98_13
Zeta5Irrational
.
U_98_14
Zeta5Irrational
.
U_98_15
Zeta5Irrational
.
U_98_16
Zeta5Irrational
.
U_98
Zeta5Irrational
.
U_99_1
Zeta5Irrational
.
U_99_2
Zeta5Irrational
.
U_99_3
Zeta5Irrational
.
U_99_4
Zeta5Irrational
.
U_99_5
Zeta5Irrational
.
U_99_6
Zeta5Irrational
.
U_99_7
Zeta5Irrational
.
U_99_8
Zeta5Irrational
.
U_99_9
Zeta5Irrational
.
U_99_10
Zeta5Irrational
.
U_99_11
Zeta5Irrational
.
U_99_12
Zeta5Irrational
.
U_99_13
Zeta5Irrational
.
U_99_14
Zeta5Irrational
.
U_99_15
Zeta5Irrational
.
U_99_16
Zeta5Irrational
.
U_99
Certified arcsine potential bounds (U07)
#
source
theorem
Zeta5Irrational
.
U_88_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3041335677499
/
64000000000000
)
≤
-
(
31934091820714900994499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3041335677499
/
64000000000000
)
≤
-
(
254627088457477178169
/
78125000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3041335677499
/
64000000000000
)
≤
-
(
34164784516352722640813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3041335677499
/
64000000000000
)
≤
-
(
1928027625307929110733
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3041335677499
/
64000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3041335677499
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3041335677499
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3041335677499
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3041335677499
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3041335677499
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3041335677499
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3041335677499
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3041335677499
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3041335677499
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3041335677499
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_88_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3041335677499
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_88
:
Uρ
(
3041335677499
/
64000000000000
)
≤
-
(
826419256172916514983
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
191579824301
/
4000000000000
)
≤
-
(
796081223438251080513
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
191579824301
/
4000000000000
)
≤
-
(
6498934924237707349841
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
191579824301
/
4000000000000
)
≤
-
(
17023759633831421878791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
191579824301
/
4000000000000
)
≤
-
(
19166747049474907076563
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
191579824301
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
191579824301
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
191579824301
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
191579824301
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
191579824301
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
191579824301
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
191579824301
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
191579824301
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
191579824301
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
191579824301
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
191579824301
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_89_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
191579824301
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_89
:
Uρ
(
191579824301
/
4000000000000
)
≤
-
(
26423334234748999464827
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3089218700133
/
64000000000000
)
≤
-
(
31753225403554109637937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3089218700133
/
64000000000000
)
≤
-
(
16199019208965554918851
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3089218700133
/
64000000000000
)
≤
-
(
6786341272376926062427
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3089218700133
/
64000000000000
)
≤
-
(
9528575281149508014001
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3089218700133
/
64000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3089218700133
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3089218700133
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3089218700133
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3089218700133
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3089218700133
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3089218700133
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3089218700133
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3089218700133
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3089218700133
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3089218700133
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_90_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3089218700133
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_90
:
Uρ
(
3089218700133
/
64000000000000
)
≤
-
(
13200904617235475791283
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
62263204229
/
1280000000000
)
≤
-
(
1583200327193589922537
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
62263204229
/
1280000000000
)
≤
-
(
16151169947406386751941
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
62263204229
/
1280000000000
)
≤
-
(
1056790878554544750231
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
62263204229
/
1280000000000
)
≤
-
(
37902304216173367332429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
62263204229
/
1280000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
62263204229
/
1280000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
62263204229
/
1280000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
62263204229
/
1280000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
62263204229
/
1280000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
62263204229
/
1280000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
62263204229
/
1280000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
62263204229
/
1280000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
62263204229
/
1280000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
62263204229
/
1280000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
62263204229
/
1280000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_91_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
62263204229
/
1280000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_91
:
Uρ
(
62263204229
/
1280000000000
)
≤
-
(
412199998590688327739
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3137101722767
/
64000000000000
)
≤
-
(
31575578075022150256599
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3137101722767
/
64000000000000
)
≤
-
(
16103780395389085637527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3137101722767
/
64000000000000
)
≤
-
(
33704288357139015076803
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3137101722767
/
64000000000000
)
≤
-
(
18848462387150699761219
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3137101722767
/
64000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3137101722767
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3137101722767
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3137101722767
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3137101722767
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3137101722767
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3137101722767
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3137101722767
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3137101722767
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3137101722767
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3137101722767
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_92_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3137101722767
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_92
:
Uρ
(
3137101722767
/
64000000000000
)
≤
-
(
13180135171331573725517
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
790260808521
/
16000000000000
)
≤
-
(
31487926091174342905069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
790260808521
/
16000000000000
)
≤
-
(
32113683379671497832899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
790260808521
/
16000000000000
)
≤
-
(
1679630618076205600743
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
790260808521
/
16000000000000
)
≤
-
(
18748829261004226629189
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
790260808521
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
790260808521
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
790260808521
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
790260808521
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
790260808521
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
790260808521
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
790260808521
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
790260808521
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
790260808521
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
790260808521
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
790260808521
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_93_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
790260808521
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_93
:
Uρ
(
790260808521
/
16000000000000
)
≤
-
(
26340189022211827785901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3184984745401
/
64000000000000
)
≤
-
(
15700518525454701202457
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3184984745401
/
64000000000000
)
≤
-
(
32020690449308287470393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3184984745401
/
64000000000000
)
≤
-
(
6696449350830705340347
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3184984745401
/
64000000000000
)
≤
-
(
37304062711062346239319
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3184984745401
/
64000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3184984745401
/
64000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3184984745401
/
64000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3184984745401
/
64000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3184984745401
/
64000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3184984745401
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3184984745401
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3184984745401
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3184984745401
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3184984745401
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3184984745401
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_94_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3184984745401
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_94
:
Uρ
(
3184984745401
/
64000000000000
)
≤
-
(
6580132024030622994311
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1604463128359
/
32000000000000
)
≤
-
(
31314897764576203369223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1604463128359
/
32000000000000
)
≤
-
(
1995535330098219433187
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1604463128359
/
32000000000000
)
≤
-
(
33373159447642545139733
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1604463128359
/
32000000000000
)
≤
-
(
37115746034298764438831
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1604463128359
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1604463128359
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1604463128359
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1604463128359
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1604463128359
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1604463128359
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1604463128359
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1604463128359
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1604463128359
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1604463128359
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1604463128359
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_95_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1604463128359
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_95
:
Uρ
(
1604463128359
/
32000000000000
)
≤
-
(
1643828923725105092647
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
646573553607
/
12800000000000
)
≤
-
(
31229495382192123462893
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
646573553607
/
12800000000000
)
≤
-
(
31837291633471834828943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
646573553607
/
12800000000000
)
≤
-
(
33265319572434076398587
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
646573553607
/
12800000000000
)
≤
-
(
18466180287477100611297
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
646573553607
/
12800000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
646573553607
/
12800000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
646573553607
/
12800000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
646573553607
/
12800000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
646573553607
/
12800000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
646573553607
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
646573553607
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
646573553607
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
646573553607
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
646573553607
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
646573553607
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_96_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
646573553607
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_96
:
Uρ
(
646573553607
/
12800000000000
)
≤
-
(
328529636040277536627
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
407101159919
/
8000000000000
)
≤
-
(
31144817381860143498661
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
407101159919
/
8000000000000
)
≤
-
(
1984178357444751687497
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
407101159919
/
8000000000000
)
≤
-
(
3315869741376076852277
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
407101159919
/
8000000000000
)
≤
-
(
36753595311212100745499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
407101159919
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
407101159919
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
407101159919
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
407101159919
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
407101159919
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
407101159919
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
407101159919
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
407101159919
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
407101159919
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
407101159919
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
407101159919
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_97_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
407101159919
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_97
:
Uρ
(
407101159919
/
8000000000000
)
≤
-
(
26263832431500510068899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1652346150993
/
32000000000000
)
≤
-
(
15488793007051782660579
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1652346150993
/
32000000000000
)
≤
-
(
789210603282412178031
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1652346150993
/
32000000000000
)
≤
-
(
32948992811289585472047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1652346150993
/
32000000000000
)
≤
-
(
9102208735492745651249
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1652346150993
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1652346150993
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1652346150993
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1652346150993
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1652346150993
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1652346150993
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1652346150993
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1652346150993
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1652346150993
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1652346150993
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1652346150993
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_98_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1652346150993
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_98
:
Uρ
(
1652346150993
/
32000000000000
)
≤
-
(
26227745217472389991977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
167628766231
/
3200000000000
)
≤
-
(
30813109637784336635283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
167628766231
/
3200000000000
)
≤
-
(
31393158740030300939493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
167628766231
/
3200000000000
)
≤
-
(
8185957218103774495557
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
167628766231
/
3200000000000
)
≤
-
(
9019883879209497377887
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
167628766231
/
3200000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
167628766231
/
3200000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
167628766231
/
3200000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
167628766231
/
3200000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
167628766231
/
3200000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
167628766231
/
3200000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
167628766231
/
3200000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
167628766231
/
3200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
167628766231
/
3200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
167628766231
/
3200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
167628766231
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_99_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
167628766231
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_99
:
Uρ
(
167628766231
/
3200000000000
)
≤
-
(
3274109383884848166437
/
1250000000000000000000
)