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Zeta5Irrational
.
Table
.
U51
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_616_1
Zeta5Irrational
.
U_616_2
Zeta5Irrational
.
U_616_3
Zeta5Irrational
.
U_616_4
Zeta5Irrational
.
U_616_5
Zeta5Irrational
.
U_616_6
Zeta5Irrational
.
U_616_7
Zeta5Irrational
.
U_616_8
Zeta5Irrational
.
U_616_9
Zeta5Irrational
.
U_616_10
Zeta5Irrational
.
U_616_11
Zeta5Irrational
.
U_616_12
Zeta5Irrational
.
U_616_13
Zeta5Irrational
.
U_616_14
Zeta5Irrational
.
U_616_15
Zeta5Irrational
.
U_616_16
Zeta5Irrational
.
U_616
Zeta5Irrational
.
U_617_1
Zeta5Irrational
.
U_617_2
Zeta5Irrational
.
U_617_3
Zeta5Irrational
.
U_617_4
Zeta5Irrational
.
U_617_5
Zeta5Irrational
.
U_617_6
Zeta5Irrational
.
U_617_7
Zeta5Irrational
.
U_617_8
Zeta5Irrational
.
U_617_9
Zeta5Irrational
.
U_617_10
Zeta5Irrational
.
U_617_11
Zeta5Irrational
.
U_617_12
Zeta5Irrational
.
U_617_13
Zeta5Irrational
.
U_617_14
Zeta5Irrational
.
U_617_15
Zeta5Irrational
.
U_617_16
Zeta5Irrational
.
U_617
Zeta5Irrational
.
U_618_1
Zeta5Irrational
.
U_618_2
Zeta5Irrational
.
U_618_3
Zeta5Irrational
.
U_618_4
Zeta5Irrational
.
U_618_5
Zeta5Irrational
.
U_618_6
Zeta5Irrational
.
U_618_7
Zeta5Irrational
.
U_618_8
Zeta5Irrational
.
U_618_9
Zeta5Irrational
.
U_618_10
Zeta5Irrational
.
U_618_11
Zeta5Irrational
.
U_618_12
Zeta5Irrational
.
U_618_13
Zeta5Irrational
.
U_618_14
Zeta5Irrational
.
U_618_15
Zeta5Irrational
.
U_618_16
Zeta5Irrational
.
U_618
Zeta5Irrational
.
U_619_1
Zeta5Irrational
.
U_619_2
Zeta5Irrational
.
U_619_3
Zeta5Irrational
.
U_619_4
Zeta5Irrational
.
U_619_5
Zeta5Irrational
.
U_619_6
Zeta5Irrational
.
U_619_7
Zeta5Irrational
.
U_619_8
Zeta5Irrational
.
U_619_9
Zeta5Irrational
.
U_619_10
Zeta5Irrational
.
U_619_11
Zeta5Irrational
.
U_619_12
Zeta5Irrational
.
U_619_13
Zeta5Irrational
.
U_619_14
Zeta5Irrational
.
U_619_15
Zeta5Irrational
.
U_619_16
Zeta5Irrational
.
U_619
Zeta5Irrational
.
U_620_1
Zeta5Irrational
.
U_620_2
Zeta5Irrational
.
U_620_3
Zeta5Irrational
.
U_620_4
Zeta5Irrational
.
U_620_5
Zeta5Irrational
.
U_620_6
Zeta5Irrational
.
U_620_7
Zeta5Irrational
.
U_620_8
Zeta5Irrational
.
U_620_9
Zeta5Irrational
.
U_620_10
Zeta5Irrational
.
U_620_11
Zeta5Irrational
.
U_620_12
Zeta5Irrational
.
U_620_13
Zeta5Irrational
.
U_620_14
Zeta5Irrational
.
U_620_15
Zeta5Irrational
.
U_620_16
Zeta5Irrational
.
U_620
Zeta5Irrational
.
U_621_1
Zeta5Irrational
.
U_621_2
Zeta5Irrational
.
U_621_3
Zeta5Irrational
.
U_621_4
Zeta5Irrational
.
U_621_5
Zeta5Irrational
.
U_621_6
Zeta5Irrational
.
U_621_7
Zeta5Irrational
.
U_621_8
Zeta5Irrational
.
U_621_9
Zeta5Irrational
.
U_621_10
Zeta5Irrational
.
U_621_11
Zeta5Irrational
.
U_621_12
Zeta5Irrational
.
U_621_13
Zeta5Irrational
.
U_621_14
Zeta5Irrational
.
U_621_15
Zeta5Irrational
.
U_621_16
Zeta5Irrational
.
U_621
Zeta5Irrational
.
U_622_1
Zeta5Irrational
.
U_622_2
Zeta5Irrational
.
U_622_3
Zeta5Irrational
.
U_622_4
Zeta5Irrational
.
U_622_5
Zeta5Irrational
.
U_622_6
Zeta5Irrational
.
U_622_7
Zeta5Irrational
.
U_622_8
Zeta5Irrational
.
U_622_9
Zeta5Irrational
.
U_622_10
Zeta5Irrational
.
U_622_11
Zeta5Irrational
.
U_622_12
Zeta5Irrational
.
U_622_13
Zeta5Irrational
.
U_622_14
Zeta5Irrational
.
U_622_15
Zeta5Irrational
.
U_622_16
Zeta5Irrational
.
U_622
Zeta5Irrational
.
U_623_1
Zeta5Irrational
.
U_623_2
Zeta5Irrational
.
U_623_3
Zeta5Irrational
.
U_623_4
Zeta5Irrational
.
U_623_5
Zeta5Irrational
.
U_623_6
Zeta5Irrational
.
U_623_7
Zeta5Irrational
.
U_623_8
Zeta5Irrational
.
U_623_9
Zeta5Irrational
.
U_623_10
Zeta5Irrational
.
U_623_11
Zeta5Irrational
.
U_623_12
Zeta5Irrational
.
U_623_13
Zeta5Irrational
.
U_623_14
Zeta5Irrational
.
U_623_15
Zeta5Irrational
.
U_623_16
Zeta5Irrational
.
U_623
Zeta5Irrational
.
U_624_1
Zeta5Irrational
.
U_624_2
Zeta5Irrational
.
U_624_3
Zeta5Irrational
.
U_624_4
Zeta5Irrational
.
U_624_5
Zeta5Irrational
.
U_624_6
Zeta5Irrational
.
U_624_7
Zeta5Irrational
.
U_624_8
Zeta5Irrational
.
U_624_9
Zeta5Irrational
.
U_624_10
Zeta5Irrational
.
U_624_11
Zeta5Irrational
.
U_624_12
Zeta5Irrational
.
U_624_13
Zeta5Irrational
.
U_624_14
Zeta5Irrational
.
U_624_15
Zeta5Irrational
.
U_624_16
Zeta5Irrational
.
U_624
Zeta5Irrational
.
U_625_1
Zeta5Irrational
.
U_625_2
Zeta5Irrational
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U_625_3
Zeta5Irrational
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U_625_4
Zeta5Irrational
.
U_625_5
Zeta5Irrational
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U_625_6
Zeta5Irrational
.
U_625_7
Zeta5Irrational
.
U_625_8
Zeta5Irrational
.
U_625_9
Zeta5Irrational
.
U_625_10
Zeta5Irrational
.
U_625_11
Zeta5Irrational
.
U_625_12
Zeta5Irrational
.
U_625_13
Zeta5Irrational
.
U_625_14
Zeta5Irrational
.
U_625_15
Zeta5Irrational
.
U_625_16
Zeta5Irrational
.
U_625
Zeta5Irrational
.
U_626_1
Zeta5Irrational
.
U_626_2
Zeta5Irrational
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U_626_3
Zeta5Irrational
.
U_626_4
Zeta5Irrational
.
U_626_5
Zeta5Irrational
.
U_626_6
Zeta5Irrational
.
U_626_7
Zeta5Irrational
.
U_626_8
Zeta5Irrational
.
U_626_9
Zeta5Irrational
.
U_626_10
Zeta5Irrational
.
U_626_11
Zeta5Irrational
.
U_626_12
Zeta5Irrational
.
U_626_13
Zeta5Irrational
.
U_626_14
Zeta5Irrational
.
U_626_15
Zeta5Irrational
.
U_626_16
Zeta5Irrational
.
U_626
Zeta5Irrational
.
U_627_1
Zeta5Irrational
.
U_627_2
Zeta5Irrational
.
U_627_3
Zeta5Irrational
.
U_627_4
Zeta5Irrational
.
U_627_5
Zeta5Irrational
.
U_627_6
Zeta5Irrational
.
U_627_7
Zeta5Irrational
.
U_627_8
Zeta5Irrational
.
U_627_9
Zeta5Irrational
.
U_627_10
Zeta5Irrational
.
U_627_11
Zeta5Irrational
.
U_627_12
Zeta5Irrational
.
U_627_13
Zeta5Irrational
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U_627_14
Zeta5Irrational
.
U_627_15
Zeta5Irrational
.
U_627_16
Zeta5Irrational
.
U_627
Certified arcsine potential bounds (U51)
#
source
theorem
Zeta5Irrational
.
U_616_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11489045952349
/
16000000000000
)
≤
-
(
106318913346585029177
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11489045952349
/
16000000000000
)
≤
-
(
3435841602808840498403
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11489045952349
/
16000000000000
)
≤
-
(
3503427083001394159311
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11489045952349
/
16000000000000
)
≤
-
(
904151680374748223911
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11489045952349
/
16000000000000
)
≤
-
(
3791226089629521932043
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11489045952349
/
16000000000000
)
≤
-
(
202327453614113887511
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11489045952349
/
16000000000000
)
≤
-
(
2202253901422898501509
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11489045952349
/
16000000000000
)
≤
-
(
4889116153186919824119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11489045952349
/
16000000000000
)
≤
-
(
1105240842738283865227
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11489045952349
/
16000000000000
)
≤
-
(
6343775738609869476143
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11489045952349
/
16000000000000
)
≤
-
(
3686848114669659335923
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11489045952349
/
16000000000000
)
≤
-
(
4328354908750573873291
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11489045952349
/
16000000000000
)
≤
-
(
10258168058087591677167
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11489045952349
/
16000000000000
)
≤
-
(
6167965695391489451341
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11489045952349
/
16000000000000
)
≤
-
(
16171439084303750819383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11489045952349
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_616
:
Uρ
(
11489045952349
/
16000000000000
)
≤
-
(
292500798363171186281
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4601713724651
/
6400000000000
)
≤
-
(
847207624102700801571
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4601713724651
/
6400000000000
)
≤
-
(
3422421599130554510801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4601713724651
/
6400000000000
)
≤
-
(
109059856659853529079
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4601713724651
/
6400000000000
)
≤
-
(
3602939422167406557651
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4601713724651
/
6400000000000
)
≤
-
(
1888656661307937322841
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4601713724651
/
6400000000000
)
≤
-
(
1008066302970724523623
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4601713724651
/
6400000000000
)
≤
-
(
1097419455511665411643
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4601713724651
/
6400000000000
)
≤
-
(
2436747227048758859281
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4601713724651
/
6400000000000
)
≤
-
(
1377359600808868290677
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4601713724651
/
6400000000000
)
≤
-
(
158133477903931247259
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4601713724651
/
6400000000000
)
≤
-
(
3676374418941192739521
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4601713724651
/
6400000000000
)
≤
-
(
431588493602501169943
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4601713724651
/
6400000000000
)
≤
-
(
10226142048473857112987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4601713724651
/
6400000000000
)
≤
-
(
12287712213345314582721
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4601713724651
/
6400000000000
)
≤
-
(
15939995460286118426859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4601713724651
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_617
:
Uρ
(
4601713724651
/
6400000000000
)
≤
-
(
728229669929658414691
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5759761335453
/
8000000000000
)
≤
-
(
337547363029600780631
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5759761335453
/
8000000000000
)
≤
-
(
3409019581723940330361
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5759761335453
/
8000000000000
)
≤
-
(
173821098891361459987
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5759761335453
/
8000000000000
)
≤
-
(
179464539245497928923
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5759761335453
/
8000000000000
)
≤
-
(
940854976778895516571
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5759761335453
/
8000000000000
)
≤
-
(
803600356250984112259
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5759761335453
/
8000000000000
)
≤
-
(
2187434969384649431987
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5759761335453
/
8000000000000
)
≤
-
(
1214474362038736148431
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5759761335453
/
8000000000000
)
≤
-
(
1373175357305435607103
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5759761335453
/
8000000000000
)
≤
-
(
3153469138497098411407
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5759761335453
/
8000000000000
)
≤
-
(
7331849876332865554959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5759761335453
/
8000000000000
)
≤
-
(
8606904707458635042521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5759761335453
/
8000000000000
)
≤
-
(
2038852069256468634701
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5759761335453
/
8000000000000
)
≤
-
(
3059985522729845712219
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5759761335453
/
8000000000000
)
≤
-
(
15745009285213127229491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5759761335453
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_618
:
Uρ
(
5759761335453
/
8000000000000
)
≤
-
(
580282206778786842289
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23069522060369
/
32000000000000
)
≤
-
(
840533645271613096197
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23069522060369
/
32000000000000
)
≤
-
(
1697817751219501552147
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23069522060369
/
32000000000000
)
≤
-
(
3462946727979391038407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23069522060369
/
32000000000000
)
≤
-
(
3575660758809798843429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23069522060369
/
32000000000000
)
≤
-
(
3749545789310065404481
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23069522060369
/
32000000000000
)
≤
-
(
4003758721882345394807
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23069522060369
/
32000000000000
)
≤
-
(
872016817370518790959
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23069522060369
/
32000000000000
)
≤
-
(
4842325056394238771433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23069522060369
/
32000000000000
)
≤
-
(
5475993190011855433897
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23069522060369
/
32000000000000
)
≤
-
(
6288573075515474583353
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23069522060369
/
32000000000000
)
≤
-
(
1827749775245038889841
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23069522060369
/
32000000000000
)
≤
-
(
343284552296869609383
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23069522060369
/
32000000000000
)
≤
-
(
1016252133793236407923
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23069522060369
/
32000000000000
)
≤
-
(
12192609767079604075557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23069522060369
/
32000000000000
)
≤
-
(
3893334229564846221071
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23069522060369
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_619
:
Uρ
(
23069522060369
/
32000000000000
)
≤
-
(
5780568999489780155329
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11549999389463
/
16000000000000
)
≤
-
(
133952532052508978969
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11549999389463
/
16000000000000
)
≤
-
(
3382269313318846887479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11549999389463
/
16000000000000
)
≤
-
(
1724744807306295194459
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11549999389463
/
16000000000000
)
≤
-
(
1781024646579131442769
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11549999389463
/
16000000000000
)
≤
-
(
233480682225324909683
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11549999389463
/
16000000000000
)
≤
-
(
124672999234403041657
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11549999389463
/
16000000000000
)
≤
-
(
543165025054239187137
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11549999389463
/
16000000000000
)
≤
-
(
2413388600116685197157
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11549999389463
/
16000000000000
)
≤
-
(
1364828396129223884731
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11549999389463
/
16000000000000
)
≤
-
(
3135121683520498290713
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11549999389463
/
16000000000000
)
≤
-
(
3645098135037624419509
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11549999389463
/
16000000000000
)
≤
-
(
8557396661480946125929
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11549999389463
/
16000000000000
)
≤
-
(
506546171996047407941
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11549999389463
/
16000000000000
)
≤
-
(
12145704453235629212067
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11549999389463
/
16000000000000
)
≤
-
(
15418235905060781715109
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11549999389463
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_620
:
Uρ
(
11549999389463
/
16000000000000
)
≤
-
(
71985901044622510087
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23130475497483
/
32000000000000
)
≤
-
(
667101948738974140143
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23130475497483
/
32000000000000
)
≤
-
(
3368920966598643556611
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23130475497483
/
32000000000000
)
≤
-
(
214753161810318558973
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23130475497483
/
32000000000000
)
≤
-
(
709691267490747128891
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23130475497483
/
32000000000000
)
≤
-
(
3721855232630060188191
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23130475497483
/
32000000000000
)
≤
-
(
1987666742048291147841
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23130475497483
/
32000000000000
)
≤
-
(
4330578213947306030187
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23130475497483
/
32000000000000
)
≤
-
(
4811253801470739519341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23130475497483
/
32000000000000
)
≤
-
(
1360665628048339499749
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23130475497483
/
32000000000000
)
≤
-
(
1562987251951932787287
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23130475497483
/
32000000000000
)
≤
-
(
726944114380871616587
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23130475497483
/
32000000000000
)
≤
-
(
8532752764931727160707
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23130475497483
/
32000000000000
)
≤
-
(
5049732549018707484119
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23130475497483
/
32000000000000
)
≤
-
(
12099215801753549008383
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23130475497483
/
32000000000000
)
≤
-
(
1909462497718683193977
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23130475497483
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_621
:
Uρ
(
23130475497483
/
32000000000000
)
≤
-
(
1147521724675301463431
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
579023805401
/
800000000000
)
≤
-
(
664444772228277286747
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
579023805401
/
800000000000
)
≤
-
(
1677795207352304648309
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
579023805401
/
800000000000
)
≤
-
(
3422629602471597769299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
579023805401
/
800000000000
)
≤
-
(
17674409207002628977
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
579023805401
/
800000000000
)
≤
-
(
23175241795223090519
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
579023805401
/
800000000000
)
≤
-
(
1980575594952124207391
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
579023805401
/
800000000000
)
≤
-
(
4315858062121709975551
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
579023805401
/
800000000000
)
≤
-
(
119893869557067372297
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
579023805401
/
800000000000
)
≤
-
(
5426039873039151492967
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
579023805401
/
800000000000
)
≤
-
(
6233689854961697792241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
579023805401
/
800000000000
)
≤
-
(
906091685536126654847
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
579023805401
/
800000000000
)
≤
-
(
1063522702341544572123
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
579023805401
/
800000000000
)
≤
-
(
10068144786604213098637
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
579023805401
/
800000000000
)
≤
-
(
753320867564564560021
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
579023805401
/
800000000000
)
≤
-
(
15143118237455441992627
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
579023805401
/
800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_622
:
Uρ
(
579023805401
/
800000000000
)
≤
-
(
1429174612416460317899
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23191428934597
/
32000000000000
)
≤
-
(
3308955606748218408403
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23191428934597
/
32000000000000
)
≤
-
(
835569402563246451051
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23191428934597
/
32000000000000
)
≤
-
(
3409226606762139118281
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23191428934597
/
32000000000000
)
≤
-
(
3521325754907749846863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23191428934597
/
32000000000000
)
≤
-
(
461780153311734872569
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23191428934597
/
32000000000000
)
≤
-
(
3946989035406164734171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23191428934597
/
32000000000000
)
≤
-
(
4301159679979176426909
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23191428934597
/
32000000000000
)
≤
-
(
4780280065221076428117
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23191428934597
/
32000000000000
)
≤
-
(
5409445567589630971793
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23191428934597
/
32000000000000
)
≤
-
(
6215465766550052784111
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23191428934597
/
32000000000000
)
≤
-
(
903509131940136337699
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23191428934597
/
32000000000000
)
≤
-
(
848368272941469264369
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23191428934597
/
32000000000000
)
≤
-
(
5018480503871485516127
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23191428934597
/
32000000000000
)
≤
-
(
12007449152369101586589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23191428934597
/
32000000000000
)
≤
-
(
15018676704649794032253
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23191428934597
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_623
:
Uρ
(
23191428934597
/
32000000000000
)
≤
-
(
5696085690247323872273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11610952826577
/
16000000000000
)
≤
-
(
3295704933797769085771
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11610952826577
/
16000000000000
)
≤
-
(
665796501209805653239
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11610952826577
/
16000000000000
)
≤
-
(
3395841553661085159127
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11610952826577
/
16000000000000
)
≤
-
(
3507788028088219534127
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11610952826577
/
16000000000000
)
≤
-
(
3680462797695905282609
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11610952826577
/
16000000000000
)
≤
-
(
1966423481665302052459
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11610952826577
/
16000000000000
)
≤
-
(
2143241501416554488787
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11610952826577
/
16000000000000
)
≤
-
(
4764829573210770707701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11610952826577
/
16000000000000
)
≤
-
(
5392879496913676081697
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11610952826577
/
16000000000000
)
≤
-
(
1549319150378315990693
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11610952826577
/
16000000000000
)
≤
-
(
7207459623385319839303
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11610952826577
/
16000000000000
)
≤
-
(
1691851121799353991287
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11610952826577
/
16000000000000
)
≤
-
(
2501478072666182089101
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11610952826577
/
16000000000000
)
≤
-
(
11962152448444704526753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11610952826577
/
16000000000000
)
≤
-
(
14901054336295950917693
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11610952826577
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_624
:
Uρ
(
11610952826577
/
16000000000000
)
≤
-
(
2837864753785064472951
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23252382371711
/
32000000000000
)
≤
-
(
3282471795757911769263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23252382371711
/
32000000000000
)
≤
-
(
1657852527543002467351
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23252382371711
/
32000000000000
)
≤
-
(
845618598796519162513
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23252382371711
/
32000000000000
)
≤
-
(
3494268611257336033207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23252382371711
/
32000000000000
)
≤
-
(
458337918543920478139
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23252382371711
/
32000000000000
)
≤
-
(
3918724916650439724693
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23252382371711
/
32000000000000
)
≤
-
(
4271827966286515829487
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23252382371711
/
32000000000000
)
≤
-
(
2374701614773647720401
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23252382371711
/
32000000000000
)
≤
-
(
5376341562609795843151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23252382371711
/
32000000000000
)
≤
-
(
6179122219677369954149
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23252382371711
/
32000000000000
)
≤
-
(
7186892955616715097121
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23252382371711
/
32000000000000
)
≤
-
(
8434899774897159942441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23252382371711
/
32000000000000
)
≤
-
(
2493749297745844288991
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23252382371711
/
32000000000000
)
≤
-
(
11917234953315698604143
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23252382371711
/
32000000000000
)
≤
-
(
739462680758528667917
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23252382371711
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_625
:
Uρ
(
23252382371711
/
32000000000000
)
≤
-
(
1413899734414673350401
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5820714772567
/
8000000000000
)
≤
-
(
3269256146281007372917
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5820714772567
/
8000000000000
)
≤
-
(
3302445210544198461269
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5820714772567
/
8000000000000
)
≤
-
(
842281270886748966641
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5820714772567
/
8000000000000
)
≤
-
(
3480767454931998022547
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5820714772567
/
8000000000000
)
≤
-
(
3652962826186939902803
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5820714772567
/
8000000000000
)
≤
-
(
1952311419290875189301
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5820714772567
/
8000000000000
)
≤
-
(
4257194506230267187757
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5820714772567
/
8000000000000
)
≤
-
(
4734000957894396568091
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5820714772567
/
8000000000000
)
≤
-
(
2679915833401137352107
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5820714772567
/
8000000000000
)
≤
-
(
6161002481746330224137
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5820714772567
/
8000000000000
)
≤
-
(
7166372821784453306367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5820714772567
/
8000000000000
)
≤
-
(
4205307374925527529399
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5820714772567
/
8000000000000
)
≤
-
(
497210714502570725607
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5820714772567
/
8000000000000
)
≤
-
(
5936344091881768530959
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5820714772567
/
8000000000000
)
≤
-
(
14682499387665634183519
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5820714772567
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_626
:
Uρ
(
5820714772567
/
8000000000000
)
≤
-
(
5635669807423770572593
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
932533432353
/
1280000000000
)
≤
-
(
3256057939202933221281
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
932533432353
/
1280000000000
)
≤
-
(
3289202925789912456111
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
932533432353
/
1280000000000
)
≤
-
(
671158714228988945661
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
932533432353
/
1280000000000
)
≤
-
(
3467284509829511449131
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
932533432353
/
1280000000000
)
≤
-
(
1819620589572607906299
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
932533432353
/
1280000000000
)
≤
-
(
243158792036402207847
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
932533432353
/
1280000000000
)
≤
-
(
4242582558841379302559
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
932533432353
/
1280000000000
)
≤
-
(
4718622682281668301957
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
932533432353
/
1280000000000
)
≤
-
(
2671674856068678912033
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
932533432353
/
1280000000000
)
≤
-
(
1535729312323613446291
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
932533432353
/
1280000000000
)
≤
-
(
3572949496635842197997
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
932533432353
/
1280000000000
)
≤
-
(
262075001932125642291
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
932533432353
/
1280000000000
)
≤
-
(
2478390548579272769413
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
932533432353
/
1280000000000
)
≤
-
(
11828503971903031566869
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
932533432353
/
1280000000000
)
≤
-
(
1458017506958502499819
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
932533432353
/
1280000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_627
:
Uρ
(
932533432353
/
1280000000000
)
≤
-
(
5615922790488704981441
/
10000000000000000000000
)