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.
Zeta5Irrational
.
Table
.
U52
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_628_1
Zeta5Irrational
.
U_628_2
Zeta5Irrational
.
U_628_3
Zeta5Irrational
.
U_628_4
Zeta5Irrational
.
U_628_5
Zeta5Irrational
.
U_628_6
Zeta5Irrational
.
U_628_7
Zeta5Irrational
.
U_628_8
Zeta5Irrational
.
U_628_9
Zeta5Irrational
.
U_628_10
Zeta5Irrational
.
U_628_11
Zeta5Irrational
.
U_628_12
Zeta5Irrational
.
U_628_13
Zeta5Irrational
.
U_628_14
Zeta5Irrational
.
U_628_15
Zeta5Irrational
.
U_628_16
Zeta5Irrational
.
U_628
Zeta5Irrational
.
U_629_1
Zeta5Irrational
.
U_629_2
Zeta5Irrational
.
U_629_3
Zeta5Irrational
.
U_629_4
Zeta5Irrational
.
U_629_5
Zeta5Irrational
.
U_629_6
Zeta5Irrational
.
U_629_7
Zeta5Irrational
.
U_629_8
Zeta5Irrational
.
U_629_9
Zeta5Irrational
.
U_629_10
Zeta5Irrational
.
U_629_11
Zeta5Irrational
.
U_629_12
Zeta5Irrational
.
U_629_13
Zeta5Irrational
.
U_629_14
Zeta5Irrational
.
U_629_15
Zeta5Irrational
.
U_629_16
Zeta5Irrational
.
U_629
Zeta5Irrational
.
U_630_1
Zeta5Irrational
.
U_630_2
Zeta5Irrational
.
U_630_3
Zeta5Irrational
.
U_630_4
Zeta5Irrational
.
U_630_5
Zeta5Irrational
.
U_630_6
Zeta5Irrational
.
U_630_7
Zeta5Irrational
.
U_630_8
Zeta5Irrational
.
U_630_9
Zeta5Irrational
.
U_630_10
Zeta5Irrational
.
U_630_11
Zeta5Irrational
.
U_630_12
Zeta5Irrational
.
U_630_13
Zeta5Irrational
.
U_630_14
Zeta5Irrational
.
U_630_15
Zeta5Irrational
.
U_630_16
Zeta5Irrational
.
U_630
Zeta5Irrational
.
U_631_1
Zeta5Irrational
.
U_631_2
Zeta5Irrational
.
U_631_3
Zeta5Irrational
.
U_631_4
Zeta5Irrational
.
U_631_5
Zeta5Irrational
.
U_631_6
Zeta5Irrational
.
U_631_7
Zeta5Irrational
.
U_631_8
Zeta5Irrational
.
U_631_9
Zeta5Irrational
.
U_631_10
Zeta5Irrational
.
U_631_11
Zeta5Irrational
.
U_631_12
Zeta5Irrational
.
U_631_13
Zeta5Irrational
.
U_631_14
Zeta5Irrational
.
U_631_15
Zeta5Irrational
.
U_631_16
Zeta5Irrational
.
U_631
Zeta5Irrational
.
U_632_1
Zeta5Irrational
.
U_632_2
Zeta5Irrational
.
U_632_3
Zeta5Irrational
.
U_632_4
Zeta5Irrational
.
U_632_5
Zeta5Irrational
.
U_632_6
Zeta5Irrational
.
U_632_7
Zeta5Irrational
.
U_632_8
Zeta5Irrational
.
U_632_9
Zeta5Irrational
.
U_632_10
Zeta5Irrational
.
U_632_11
Zeta5Irrational
.
U_632_12
Zeta5Irrational
.
U_632_13
Zeta5Irrational
.
U_632_14
Zeta5Irrational
.
U_632_15
Zeta5Irrational
.
U_632_16
Zeta5Irrational
.
U_632
Zeta5Irrational
.
U_633_1
Zeta5Irrational
.
U_633_2
Zeta5Irrational
.
U_633_3
Zeta5Irrational
.
U_633_4
Zeta5Irrational
.
U_633_5
Zeta5Irrational
.
U_633_6
Zeta5Irrational
.
U_633_7
Zeta5Irrational
.
U_633_8
Zeta5Irrational
.
U_633_9
Zeta5Irrational
.
U_633_10
Zeta5Irrational
.
U_633_11
Zeta5Irrational
.
U_633_12
Zeta5Irrational
.
U_633_13
Zeta5Irrational
.
U_633_14
Zeta5Irrational
.
U_633_15
Zeta5Irrational
.
U_633_16
Zeta5Irrational
.
U_633
Zeta5Irrational
.
U_634_1
Zeta5Irrational
.
U_634_2
Zeta5Irrational
.
U_634_3
Zeta5Irrational
.
U_634_4
Zeta5Irrational
.
U_634_5
Zeta5Irrational
.
U_634_6
Zeta5Irrational
.
U_634_7
Zeta5Irrational
.
U_634_8
Zeta5Irrational
.
U_634_9
Zeta5Irrational
.
U_634_10
Zeta5Irrational
.
U_634_11
Zeta5Irrational
.
U_634_12
Zeta5Irrational
.
U_634_13
Zeta5Irrational
.
U_634_14
Zeta5Irrational
.
U_634_15
Zeta5Irrational
.
U_634_16
Zeta5Irrational
.
U_634
Zeta5Irrational
.
U_635_1
Zeta5Irrational
.
U_635_2
Zeta5Irrational
.
U_635_3
Zeta5Irrational
.
U_635_4
Zeta5Irrational
.
U_635_5
Zeta5Irrational
.
U_635_6
Zeta5Irrational
.
U_635_7
Zeta5Irrational
.
U_635_8
Zeta5Irrational
.
U_635_9
Zeta5Irrational
.
U_635_10
Zeta5Irrational
.
U_635_11
Zeta5Irrational
.
U_635_12
Zeta5Irrational
.
U_635_13
Zeta5Irrational
.
U_635_14
Zeta5Irrational
.
U_635_15
Zeta5Irrational
.
U_635_16
Zeta5Irrational
.
U_635
Zeta5Irrational
.
U_636_1
Zeta5Irrational
.
U_636_2
Zeta5Irrational
.
U_636_3
Zeta5Irrational
.
U_636_4
Zeta5Irrational
.
U_636_5
Zeta5Irrational
.
U_636_6
Zeta5Irrational
.
U_636_7
Zeta5Irrational
.
U_636_8
Zeta5Irrational
.
U_636_9
Zeta5Irrational
.
U_636_10
Zeta5Irrational
.
U_636_11
Zeta5Irrational
.
U_636_12
Zeta5Irrational
.
U_636_13
Zeta5Irrational
.
U_636_14
Zeta5Irrational
.
U_636_15
Zeta5Irrational
.
U_636_16
Zeta5Irrational
.
U_636
Zeta5Irrational
.
U_637_1
Zeta5Irrational
.
U_637_2
Zeta5Irrational
.
U_637_3
Zeta5Irrational
.
U_637_4
Zeta5Irrational
.
U_637_5
Zeta5Irrational
.
U_637_6
Zeta5Irrational
.
U_637_7
Zeta5Irrational
.
U_637_8
Zeta5Irrational
.
U_637_9
Zeta5Irrational
.
U_637_10
Zeta5Irrational
.
U_637_11
Zeta5Irrational
.
U_637_12
Zeta5Irrational
.
U_637_13
Zeta5Irrational
.
U_637_14
Zeta5Irrational
.
U_637_15
Zeta5Irrational
.
U_637_16
Zeta5Irrational
.
U_637
Zeta5Irrational
.
U_638_1
Zeta5Irrational
.
U_638_2
Zeta5Irrational
.
U_638_3
Zeta5Irrational
.
U_638_4
Zeta5Irrational
.
U_638_5
Zeta5Irrational
.
U_638_6
Zeta5Irrational
.
U_638_7
Zeta5Irrational
.
U_638_8
Zeta5Irrational
.
U_638_9
Zeta5Irrational
.
U_638_10
Zeta5Irrational
.
U_638_11
Zeta5Irrational
.
U_638_12
Zeta5Irrational
.
U_638_13
Zeta5Irrational
.
U_638_14
Zeta5Irrational
.
U_638_15
Zeta5Irrational
.
U_638_16
Zeta5Irrational
.
U_638
Zeta5Irrational
.
U_639_1
Zeta5Irrational
.
U_639_2
Zeta5Irrational
.
U_639_3
Zeta5Irrational
.
U_639_4
Zeta5Irrational
.
U_639_5
Zeta5Irrational
.
U_639_6
Zeta5Irrational
.
U_639_7
Zeta5Irrational
.
U_639_8
Zeta5Irrational
.
U_639_9
Zeta5Irrational
.
U_639_10
Zeta5Irrational
.
U_639_11
Zeta5Irrational
.
U_639_12
Zeta5Irrational
.
U_639_13
Zeta5Irrational
.
U_639_14
Zeta5Irrational
.
U_639_15
Zeta5Irrational
.
U_639_16
Zeta5Irrational
.
U_639
Certified arcsine potential bounds (U52)
#
source
theorem
Zeta5Irrational
.
U_628_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11671906263691
/
16000000000000
)
≤
-
(
3242877128542114788709
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11671906263691
/
16000000000000
)
≤
-
(
1637989077187245085489
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11671906263691
/
16000000000000
)
≤
-
(
3342479810571222740781
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11671906263691
/
16000000000000
)
≤
-
(
3453819726866507349207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11671906263691
/
16000000000000
)
≤
-
(
3625538355383480504909
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11671906263691
/
16000000000000
)
≤
-
(
193823918117542028053
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11671906263691
/
16000000000000
)
≤
-
(
132124751893165640127
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11671906263691
/
16000000000000
)
≤
-
(
4703268327102192686097
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11671906263691
/
16000000000000
)
≤
-
(
5326895601779464101117
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11671906263691
/
16000000000000
)
≤
-
(
3062433192379457887933
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11671906263691
/
16000000000000
)
≤
-
(
7125471243255631514223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11671906263691
/
16000000000000
)
≤
-
(
8362255243951402653027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11671906263691
/
16000000000000
)
≤
-
(
9883039534702144509293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11671906263691
/
16000000000000
)
≤
-
(
589233722447172838279
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11671906263691
/
16000000000000
)
≤
-
(
7240890309318723000821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11671906263691
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_628
:
Uρ
(
11671906263691
/
16000000000000
)
≤
-
(
1399085531536063093099
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23374289245939
/
32000000000000
)
≤
-
(
645942733699712492987
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23374289245939
/
32000000000000
)
≤
-
(
815692712508334048631
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23374289245939
/
32000000000000
)
≤
-
(
832295938651579155123
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23374289245939
/
32000000000000
)
≤
-
(
3440373057157870478887
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23374289245939
/
32000000000000
)
≤
-
(
722370860654510914959
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23374289245939
/
32000000000000
)
≤
-
(
965608962956098136493
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23374289245939
/
32000000000000
)
≤
-
(
105335573704855377237
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23374289245939
/
32000000000000
)
≤
-
(
4687937817110196890423
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23374289245939
/
32000000000000
)
≤
-
(
5310469239407437719787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23374289245939
/
32000000000000
)
≤
-
(
3053424875716178132791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23374289245939
/
32000000000000
)
≤
-
(
1421017869337593465473
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23374289245939
/
32000000000000
)
≤
-
(
833817983441931326163
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23374289245939
/
32000000000000
)
≤
-
(
12315806207499133563
/
12500000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23374289245939
/
32000000000000
)
≤
-
(
469647681200431082067
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23374289245939
/
32000000000000
)
≤
-
(
14386903830489276582459
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23374289245939
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_629
:
Uρ
(
23374289245939
/
32000000000000
)
≤
-
(
5576914744225668371273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1462797872781
/
2000000000000
)
≤
-
(
3216567513452919317099
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1462797872781
/
2000000000000
)
≤
-
(
1624790483342472992419
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1462797872781
/
2000000000000
)
≤
-
(
1657952678109447268993
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1462797872781
/
2000000000000
)
≤
-
(
3426944452015668801577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1462797872781
/
2000000000000
)
≤
-
(
1799094485697806630207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1462797872781
/
2000000000000
)
≤
-
(
38484130851782445057
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1462797872781
/
2000000000000
)
≤
-
(
524859394838169808527
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1462797872781
/
2000000000000
)
≤
-
(
4672631077418728873253
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1462797872781
/
2000000000000
)
≤
-
(
529407052921083357707
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1462797872781
/
2000000000000
)
≤
-
(
3044433606727779236829
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1462797872781
/
2000000000000
)
≤
-
(
7084753080275469726601
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1462797872781
/
2000000000000
)
≤
-
(
1662834675285439792897
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1462797872781
/
2000000000000
)
≤
-
(
9822377166288816452343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1462797872781
/
2000000000000
)
≤
-
(
5849024699973716311919
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1462797872781
/
2000000000000
)
≤
-
(
7147600066389320593217
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1462797872781
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_630
:
Uρ
(
1462797872781
/
2000000000000
)
≤
-
(
5557629648906738505043
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23435242683053
/
32000000000000
)
≤
-
(
3203438617965511292341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23435242683053
/
32000000000000
)
≤
-
(
3236408458429937679207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23435242683053
/
32000000000000
)
≤
-
(
132105782742592253447
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23435242683053
/
32000000000000
)
≤
-
(
3413533862948097198867
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23435242683053
/
32000000000000
)
≤
-
(
3584542308547022505337
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23435242683053
/
32000000000000
)
≤
-
(
3834410006823929320503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23435242683053
/
32000000000000
)
≤
-
(
836869725883868706071
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23435242683053
/
32000000000000
)
≤
-
(
931469606699471203557
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23435242683053
/
32000000000000
)
≤
-
(
5277699375886241265793
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23435242683053
/
32000000000000
)
≤
-
(
758864829476275798249
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23435242683053
/
32000000000000
)
≤
-
(
7064462222460948975133
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23435242683053
/
32000000000000
)
≤
-
(
8290235418091904679413
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23435242683053
/
32000000000000
)
≤
-
(
9792234836373217187103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23435242683053
/
32000000000000
)
≤
-
(
2913809875003440331781
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23435242683053
/
32000000000000
)
≤
-
(
221974656099820521723
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_631_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23435242683053
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_631
:
Uρ
(
23435242683053
/
32000000000000
)
≤
-
(
86538710522970460249
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2346571940161
/
3200000000000
)
≤
-
(
1595163468387701664069
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2346571940161
/
3200000000000
)
≤
-
(
3223253279550098399567
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2346571940161
/
3200000000000
)
≤
-
(
3289401344986094540583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2346571940161
/
3200000000000
)
≤
-
(
680028248331685089271
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2346571940161
/
3200000000000
)
≤
-
(
1785457131865592913579
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2346571940161
/
3200000000000
)
≤
-
(
1910213280704012408157
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2346571940161
/
3200000000000
)
≤
-
(
4169843297918505665339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2346571940161
/
3200000000000
)
≤
-
(
2321044305584939681371
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2346571940161
/
3200000000000
)
≤
-
(
5261355684633632966319
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2346571940161
/
3200000000000
)
≤
-
(
6053003884311726330449
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2346571940161
/
3200000000000
)
≤
-
(
7044216553404438458349
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2346571940161
/
3200000000000
)
≤
-
(
4133182756188624599249
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2346571940161
/
3200000000000
)
≤
-
(
9762216699229738464429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2346571940161
/
3200000000000
)
≤
-
(
11612755515422022468479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2346571940161
/
3200000000000
)
≤
-
(
2824037625449027245121
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2346571940161
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_632
:
Uρ
(
2346571940161
/
3200000000000
)
≤
-
(
5519450151378080841463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23496196120167
/
32000000000000
)
≤
-
(
1588616212399733649147
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23496196120167
/
32000000000000
)
≤
-
(
3210115384507427481169
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23496196120167
/
32000000000000
)
≤
-
(
131047025560400143257
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23496196120167
/
32000000000000
)
≤
-
(
846691635010987255199
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23496196120167
/
32000000000000
)
≤
-
(
3557304786161391909607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23496196120167
/
32000000000000
)
≤
-
(
3806462693810826226399
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23496196120167
/
32000000000000
)
≤
-
(
2077679551030624965963
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23496196120167
/
32000000000000
)
≤
-
(
4626852736612063300721
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23496196120167
/
32000000000000
)
≤
-
(
5245039361152753413503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23496196120167
/
32000000000000
)
≤
-
(
1508780706400550594719
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23496196120167
/
32000000000000
)
≤
-
(
219500495467645514591
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23496196120167
/
32000000000000
)
≤
-
(
1030320402127628943133
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23496196120167
/
32000000000000
)
≤
-
(
304135046858737321201
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23496196120167
/
32000000000000
)
≤
-
(
11570590863640125216681
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23496196120167
/
32000000000000
)
≤
-
(
7018207705648636198711
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23496196120167
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_633
:
Uρ
(
23496196120167
/
32000000000000
)
≤
-
(
5500540668506838355503
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5881668209681
/
8000000000000
)
≤
-
(
3164155037131447097627
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5881668209681
/
8000000000000
)
≤
-
(
3196994727943193935909
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5881668209681
/
8000000000000
)
≤
-
(
163148370217400263421
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5881668209681
/
8000000000000
)
≤
-
(
3373409710194953931207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5881668209681
/
8000000000000
)
≤
-
(
3543713825258676462001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5881668209681
/
8000000000000
)
≤
-
(
3792518349145028688873
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5881668209681
/
8000000000000
)
≤
-
(
1035223994995105045411
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5881668209681
/
8000000000000
)
≤
-
(
4611640336349390814731
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5881668209681
/
8000000000000
)
≤
-
(
5228750311639540664367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5881668209681
/
8000000000000
)
≤
-
(
6017275327143369276991
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5881668209681
/
8000000000000
)
≤
-
(
437741244417544630727
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5881668209681
/
8000000000000
)
≤
-
(
4109414047231730727419
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5881668209681
/
8000000000000
)
≤
-
(
1940509600574714462243
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5881668209681
/
8000000000000
)
≤
-
(
90068274870373059033
/
78125000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5881668209681
/
8000000000000
)
≤
-
(
13954872639935423773157
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5881668209681
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_634
:
Uρ
(
5881668209681
/
8000000000000
)
≤
-
(
2740871436653137694881
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23557149557281
/
32000000000000
)
≤
-
(
630218945808207475073
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23557149557281
/
32000000000000
)
≤
-
(
636778252935398947851
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23557149557281
/
32000000000000
)
≤
-
(
649955318978965030579
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23557149557281
/
32000000000000
)
≤
-
(
672014140878737271299
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23557149557281
/
32000000000000
)
≤
-
(
882535332662672776061
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23557149557281
/
32000000000000
)
≤
-
(
1889296736377210212201
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23557149557281
/
32000000000000
)
≤
-
(
82529077401633511151
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23557149557281
/
32000000000000
)
≤
-
(
1149112834313707893071
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23557149557281
/
32000000000000
)
≤
-
(
2606244221391287807851
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23557149557281
/
32000000000000
)
≤
-
(
1499865314302420498799
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23557149557281
/
32000000000000
)
≤
-
(
6983748505754081904723
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23557149557281
/
32000000000000
)
≤
-
(
1639031942355393550651
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23557149557281
/
32000000000000
)
≤
-
(
4836447497896644797437
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23557149557281
/
32000000000000
)
≤
-
(
11487194324412495821493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23557149557281
/
32000000000000
)
≤
-
(
346884892714684572593
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23557149557281
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_635
:
Uρ
(
23557149557281
/
32000000000000
)
≤
-
(
109261026582514005137
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11793813137919
/
16000000000000
)
≤
-
(
627610291194593107191
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11793813137919
/
16000000000000
)
≤
-
(
634160989941164399659
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11793813137919
/
16000000000000
)
≤
-
(
1618301582363736978203
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11793813137919
/
16000000000000
)
≤
-
(
1673374737556661780137
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11793813137919
/
16000000000000
)
≤
-
(
3516587252170573535409
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11793813137919
/
16000000000000
)
≤
-
(
470586001276572675323
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11793813137919
/
16000000000000
)
≤
-
(
822406542208375767147
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11793813137919
/
16000000000000
)
≤
-
(
4581285666546628779379
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11793813137919
/
16000000000000
)
≤
-
(
5196253661759570077241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11793813137919
/
16000000000000
)
≤
-
(
5981680484881463733891
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11793813137919
/
16000000000000
)
≤
-
(
278547257081232514053
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11793813137919
/
16000000000000
)
≤
-
(
817155764059736202051
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11793813137919
/
16000000000000
)
≤
-
(
9643361284767544950333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11793813137919
/
16000000000000
)
≤
-
(
457838013503125911517
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11793813137919
/
16000000000000
)
≤
-
(
6898919903209831485569
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11793813137919
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_636
:
Uρ
(
11793813137919
/
16000000000000
)
≤
-
(
5444461197856341892419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4723620598879
/
6400000000000
)
≤
-
(
195314073346629939723
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4723620598879
/
6400000000000
)
≤
-
(
25261885905625078749
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4723620598879
/
6400000000000
)
≤
-
(
3223447068104290737667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4723620598879
/
6400000000000
)
≤
-
(
166672298750848071597
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4723620598879
/
6400000000000
)
≤
-
(
3503051539855834598479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4723620598879
/
6400000000000
)
≤
-
(
750160381464319673849
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4723620598879
/
6400000000000
)
≤
-
(
1024408110451874314823
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4723620598879
/
6400000000000
)
≤
-
(
2283071625893052422273
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4723620598879
/
6400000000000
)
≤
-
(
647505734529234841183
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4723620598879
/
6400000000000
)
≤
-
(
2981966440019059832977
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4723620598879
/
6400000000000
)
≤
-
(
1388731692596799573783
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4723620598879
/
6400000000000
)
≤
-
(
4074010728528158471861
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4723620598879
/
6400000000000
)
≤
-
(
2403486424000805781369
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4723620598879
/
6400000000000
)
≤
-
(
11405001465921323028451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4723620598879
/
6400000000000
)
≤
-
(
857629773117390833237
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4723620598879
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_637
:
Uρ
(
4723620598879
/
6400000000000
)
≤
-
(
339123009167877599779
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2956072464119
/
4000000000000
)
≤
-
(
622403167510487586771
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2956072464119
/
4000000000000
)
≤
-
(
1572341792758970059237
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2956072464119
/
4000000000000
)
≤
-
(
802577064865997302589
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2956072464119
/
4000000000000
)
≤
-
(
20751000980978739367
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2956072464119
/
4000000000000
)
≤
-
(
872383535986811447349
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2956072464119
/
4000000000000
)
≤
-
(
3736935110110778650981
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2956072464119
/
4000000000000
)
≤
-
(
81665060031860360223
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2956072464119
/
4000000000000
)
≤
-
(
1137756005218871002723
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2956072464119
/
4000000000000
)
≤
-
(
1290966248587763081941
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2956072464119
/
4000000000000
)
≤
-
(
2973109156675716891163
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2956072464119
/
4000000000000
)
≤
-
(
6923679406295921670647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2956072464119
/
4000000000000
)
≤
-
(
4062275370857562616801
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2956072464119
/
4000000000000
)
≤
-
(
2396161768732546289149
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2956072464119
/
4000000000000
)
≤
-
(
11364342135936268109407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2956072464119
/
4000000000000
)
≤
-
(
13647990650442621606171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2956072464119
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_638
:
Uρ
(
2956072464119
/
4000000000000
)
≤
-
(
675946034224267949889
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23679056431509
/
32000000000000
)
≤
-
(
3099023403956418114027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23679056431509
/
32000000000000
)
≤
-
(
3131648447173872218449
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23679056431509
/
32000000000000
)
≤
-
(
3197186693424707257857
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23679056431509
/
32000000000000
)
≤
-
(
3306891973972135931103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23679056431509
/
32000000000000
)
≤
-
(
54313047107620936833
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23679056431509
/
32000000000000
)
≤
-
(
3723087564835383075901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23679056431509
/
32000000000000
)
≤
-
(
2034447164939685717283
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23679056431509
/
32000000000000
)
≤
-
(
2267963951027866300151
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23679056431509
/
32000000000000
)
≤
-
(
5147710924735413315221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23679056431509
/
32000000000000
)
≤
-
(
2964268328139464888913
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23679056431509
/
32000000000000
)
≤
-
(
6903744043443189821783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23679056431509
/
32000000000000
)
≤
-
(
4050572539749861997181
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23679056431509
/
32000000000000
)
≤
-
(
1194433035719959725449
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23679056431509
/
32000000000000
)
≤
-
(
11323966949471001526601
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23679056431509
/
32000000000000
)
≤
-
(
3393869927754534575737
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23679056431509
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_639
:
Uρ
(
23679056431509
/
32000000000000
)
≤
-
(
2694629023050604486451
/
5000000000000000000000
)