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.
Zeta5Irrational
.
Table
.
U53
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_640_1
Zeta5Irrational
.
U_640_2
Zeta5Irrational
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U_640_3
Zeta5Irrational
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U_640_4
Zeta5Irrational
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U_640_5
Zeta5Irrational
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U_640_6
Zeta5Irrational
.
U_640_7
Zeta5Irrational
.
U_640_8
Zeta5Irrational
.
U_640_9
Zeta5Irrational
.
U_640_10
Zeta5Irrational
.
U_640_11
Zeta5Irrational
.
U_640_12
Zeta5Irrational
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U_640_13
Zeta5Irrational
.
U_640_14
Zeta5Irrational
.
U_640_15
Zeta5Irrational
.
U_640_16
Zeta5Irrational
.
U_640
Zeta5Irrational
.
U_641_1
Zeta5Irrational
.
U_641_2
Zeta5Irrational
.
U_641_3
Zeta5Irrational
.
U_641_4
Zeta5Irrational
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U_641_5
Zeta5Irrational
.
U_641_6
Zeta5Irrational
.
U_641_7
Zeta5Irrational
.
U_641_8
Zeta5Irrational
.
U_641_9
Zeta5Irrational
.
U_641_10
Zeta5Irrational
.
U_641_11
Zeta5Irrational
.
U_641_12
Zeta5Irrational
.
U_641_13
Zeta5Irrational
.
U_641_14
Zeta5Irrational
.
U_641_15
Zeta5Irrational
.
U_641_16
Zeta5Irrational
.
U_641
Zeta5Irrational
.
U_642_1
Zeta5Irrational
.
U_642_2
Zeta5Irrational
.
U_642_3
Zeta5Irrational
.
U_642_4
Zeta5Irrational
.
U_642_5
Zeta5Irrational
.
U_642_6
Zeta5Irrational
.
U_642_7
Zeta5Irrational
.
U_642_8
Zeta5Irrational
.
U_642_9
Zeta5Irrational
.
U_642_10
Zeta5Irrational
.
U_642_11
Zeta5Irrational
.
U_642_12
Zeta5Irrational
.
U_642_13
Zeta5Irrational
.
U_642_14
Zeta5Irrational
.
U_642_15
Zeta5Irrational
.
U_642_16
Zeta5Irrational
.
U_642
Zeta5Irrational
.
U_643_1
Zeta5Irrational
.
U_643_2
Zeta5Irrational
.
U_643_3
Zeta5Irrational
.
U_643_4
Zeta5Irrational
.
U_643_5
Zeta5Irrational
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U_643_6
Zeta5Irrational
.
U_643_7
Zeta5Irrational
.
U_643_8
Zeta5Irrational
.
U_643_9
Zeta5Irrational
.
U_643_10
Zeta5Irrational
.
U_643_11
Zeta5Irrational
.
U_643_12
Zeta5Irrational
.
U_643_13
Zeta5Irrational
.
U_643_14
Zeta5Irrational
.
U_643_15
Zeta5Irrational
.
U_643_16
Zeta5Irrational
.
U_643
Zeta5Irrational
.
U_644_1
Zeta5Irrational
.
U_644_2
Zeta5Irrational
.
U_644_3
Zeta5Irrational
.
U_644_4
Zeta5Irrational
.
U_644_5
Zeta5Irrational
.
U_644_6
Zeta5Irrational
.
U_644_7
Zeta5Irrational
.
U_644_8
Zeta5Irrational
.
U_644_9
Zeta5Irrational
.
U_644_10
Zeta5Irrational
.
U_644_11
Zeta5Irrational
.
U_644_12
Zeta5Irrational
.
U_644_13
Zeta5Irrational
.
U_644_14
Zeta5Irrational
.
U_644_15
Zeta5Irrational
.
U_644_16
Zeta5Irrational
.
U_644
Zeta5Irrational
.
U_645_1
Zeta5Irrational
.
U_645_2
Zeta5Irrational
.
U_645_3
Zeta5Irrational
.
U_645_4
Zeta5Irrational
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U_645_5
Zeta5Irrational
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U_645_6
Zeta5Irrational
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U_645_7
Zeta5Irrational
.
U_645_8
Zeta5Irrational
.
U_645_9
Zeta5Irrational
.
U_645_10
Zeta5Irrational
.
U_645_11
Zeta5Irrational
.
U_645_12
Zeta5Irrational
.
U_645_13
Zeta5Irrational
.
U_645_14
Zeta5Irrational
.
U_645_15
Zeta5Irrational
.
U_645_16
Zeta5Irrational
.
U_645
Zeta5Irrational
.
U_646_1
Zeta5Irrational
.
U_646_2
Zeta5Irrational
.
U_646_3
Zeta5Irrational
.
U_646_4
Zeta5Irrational
.
U_646_5
Zeta5Irrational
.
U_646_6
Zeta5Irrational
.
U_646_7
Zeta5Irrational
.
U_646_8
Zeta5Irrational
.
U_646_9
Zeta5Irrational
.
U_646_10
Zeta5Irrational
.
U_646_11
Zeta5Irrational
.
U_646_12
Zeta5Irrational
.
U_646_13
Zeta5Irrational
.
U_646_14
Zeta5Irrational
.
U_646_15
Zeta5Irrational
.
U_646_16
Zeta5Irrational
.
U_646
Zeta5Irrational
.
U_647_1
Zeta5Irrational
.
U_647_2
Zeta5Irrational
.
U_647_3
Zeta5Irrational
.
U_647_4
Zeta5Irrational
.
U_647_5
Zeta5Irrational
.
U_647_6
Zeta5Irrational
.
U_647_7
Zeta5Irrational
.
U_647_8
Zeta5Irrational
.
U_647_9
Zeta5Irrational
.
U_647_10
Zeta5Irrational
.
U_647_11
Zeta5Irrational
.
U_647_12
Zeta5Irrational
.
U_647_13
Zeta5Irrational
.
U_647_14
Zeta5Irrational
.
U_647_15
Zeta5Irrational
.
U_647_16
Zeta5Irrational
.
U_647
Zeta5Irrational
.
U_648_1
Zeta5Irrational
.
U_648_2
Zeta5Irrational
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U_648_3
Zeta5Irrational
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U_648_4
Zeta5Irrational
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U_648_5
Zeta5Irrational
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U_648_6
Zeta5Irrational
.
U_648_7
Zeta5Irrational
.
U_648_8
Zeta5Irrational
.
U_648_9
Zeta5Irrational
.
U_648_10
Zeta5Irrational
.
U_648_11
Zeta5Irrational
.
U_648_12
Zeta5Irrational
.
U_648_13
Zeta5Irrational
.
U_648_14
Zeta5Irrational
.
U_648_15
Zeta5Irrational
.
U_648_16
Zeta5Irrational
.
U_648
Zeta5Irrational
.
U_649_1
Zeta5Irrational
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U_649_2
Zeta5Irrational
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U_649_3
Zeta5Irrational
.
U_649_4
Zeta5Irrational
.
U_649_5
Zeta5Irrational
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U_649_6
Zeta5Irrational
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U_649_7
Zeta5Irrational
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U_649_8
Zeta5Irrational
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U_649_9
Zeta5Irrational
.
U_649_10
Zeta5Irrational
.
U_649_11
Zeta5Irrational
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U_649_12
Zeta5Irrational
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U_649_13
Zeta5Irrational
.
U_649_14
Zeta5Irrational
.
U_649_15
Zeta5Irrational
.
U_649_16
Zeta5Irrational
.
U_649
Zeta5Irrational
.
U_650_1
Zeta5Irrational
.
U_650_2
Zeta5Irrational
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U_650_3
Zeta5Irrational
.
U_650_4
Zeta5Irrational
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U_650_5
Zeta5Irrational
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U_650_6
Zeta5Irrational
.
U_650_7
Zeta5Irrational
.
U_650_8
Zeta5Irrational
.
U_650_9
Zeta5Irrational
.
U_650_10
Zeta5Irrational
.
U_650_11
Zeta5Irrational
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U_650_12
Zeta5Irrational
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U_650_13
Zeta5Irrational
.
U_650_14
Zeta5Irrational
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U_650_15
Zeta5Irrational
.
U_650_16
Zeta5Irrational
.
U_650
Zeta5Irrational
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U_651_1
Zeta5Irrational
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U_651_2
Zeta5Irrational
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U_651_3
Zeta5Irrational
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U_651_4
Zeta5Irrational
.
U_651_5
Zeta5Irrational
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U_651_6
Zeta5Irrational
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U_651_7
Zeta5Irrational
.
U_651_8
Zeta5Irrational
.
U_651_9
Zeta5Irrational
.
U_651_10
Zeta5Irrational
.
U_651_11
Zeta5Irrational
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U_651_12
Zeta5Irrational
.
U_651_13
Zeta5Irrational
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U_651_14
Zeta5Irrational
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U_651_15
Zeta5Irrational
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U_651_16
Zeta5Irrational
.
U_651
Certified arcsine potential bounds (U53)
#
source
theorem
Zeta5Irrational
.
U_640_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11854766575033
/
16000000000000
)
≤
-
(
617209565778762565663
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11854766575033
/
16000000000000
)
≤
-
(
1559315139434144244523
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11854766575033
/
16000000000000
)
≤
-
(
796020581195767598923
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11854766575033
/
16000000000000
)
≤
-
(
3293641379290378129919
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11854766575033
/
16000000000000
)
≤
-
(
3462554103321312357713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11854766575033
/
16000000000000
)
≤
-
(
1854629608987680224327
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11854766575033
/
16000000000000
)
≤
-
(
4054556366412365688859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11854766575033
/
16000000000000
)
≤
-
(
141276713247013046609
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11854766575033
/
16000000000000
)
≤
-
(
160361986765208395623
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11854766575033
/
16000000000000
)
≤
-
(
1477721945264326746369
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11854766575033
/
16000000000000
)
≤
-
(
430240760642288933031
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11854766575033
/
16000000000000
)
≤
-
(
4038902029818474039807
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11854766575033
/
16000000000000
)
≤
-
(
9526396211055741483633
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11854766575033
/
16000000000000
)
≤
-
(
11283870676060941852289
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11854766575033
/
16000000000000
)
≤
-
(
3376112697703459964891
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11854766575033
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_640
:
Uρ
(
11854766575033
/
16000000000000
)
≤
-
(
1074206850063200334523
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23740009868623
/
32000000000000
)
≤
-
(
3073089068670948228763
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23740009868623
/
32000000000000
)
≤
-
(
3105629036471363676813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23740009868623
/
32000000000000
)
≤
-
(
1585497554256626544711
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23740009868623
/
32000000000000
)
≤
-
(
3280408326324041502759
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23740009868623
/
32000000000000
)
≤
-
(
1724545680045968091771
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23740009868623
/
32000000000000
)
≤
-
(
3695450016234095153087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23740009868623
/
32000000000000
)
≤
-
(
808047810240227746469
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23740009868623
/
32000000000000
)
≤
-
(
4505804715333577953633
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23740009868623
/
32000000000000
)
≤
-
(
5115482859176546188077
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23740009868623
/
32000000000000
)
≤
-
(
736658945086993470021
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23740009868623
/
32000000000000
)
≤
-
(
6864003581606836853937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23740009868623
/
32000000000000
)
≤
-
(
4027263637795985554169
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23740009868623
/
32000000000000
)
≤
-
(
9497441751319171954421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23740009868623
/
32000000000000
)
≤
-
(
1124404824568891011653
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23740009868623
/
32000000000000
)
≤
-
(
13434819948548071133851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23740009868623
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_641
:
Uρ
(
23740009868623
/
32000000000000
)
≤
-
(
2676446975214992581051
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1188524329359
/
1600000000000
)
≤
-
(
3060147079763797147191
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1188524329359
/
1600000000000
)
≤
-
(
3092644676025192306147
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1188524329359
/
1600000000000
)
≤
-
(
3157924999766053070299
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1188524329359
/
1600000000000
)
≤
-
(
1633596384335385696813
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1188524329359
/
1600000000000
)
≤
-
(
1717823368121241994069
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1188524329359
/
1600000000000
)
≤
-
(
736331981307432108431
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1188524329359
/
1600000000000
)
≤
-
(
805188464903322653011
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1188524329359
/
1600000000000
)
≤
-
(
4490777505587620117577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1188524329359
/
1600000000000
)
≤
-
(
2549704341422734584063
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1188524329359
/
1600000000000
)
≤
-
(
5875687868970487449787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1188524329359
/
1600000000000
)
≤
-
(
3422099036893664444543
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1188524329359
/
1600000000000
)
≤
-
(
31372321582058323511
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_642_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1188524329359
/
1600000000000
)
≤
-
(
4734299912291785360331
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1188524329359
/
1600000000000
)
≤
-
(
2240898948388567398827
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1188524329359
/
1600000000000
)
≤
-
(
13366510929828003237353
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1188524329359
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_642
:
Uρ
(
1188524329359
/
1600000000000
)
≤
-
(
666854306635595554443
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
23800963305737
/
32000000000000
)
≤
-
(
1523610909408552015951
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
23800963305737
/
32000000000000
)
≤
-
(
1539838576871448098047
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
23800963305737
/
32000000000000
)
≤
-
(
628974390773593105421
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
23800963305737
/
32000000000000
)
≤
-
(
813498665028040558633
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
23800963305737
/
32000000000000
)
≤
-
(
1711110091506825365049
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
23800963305737
/
32000000000000
)
≤
-
(
3667888836031086007881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
23800963305737
/
32000000000000
)
≤
-
(
501458265861246567413
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
23800963305737
/
32000000000000
)
≤
-
(
4475773124241223698507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
23800963305737
/
32000000000000
)
≤
-
(
1270840239499814070163
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
23800963305737
/
32000000000000
)
≤
-
(
292906829020823116481
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
23800963305737
/
32000000000000
)
≤
-
(
106631803823411271099
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
23800963305737
/
32000000000000
)
≤
-
(
1601632961928138856129
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
23800963305737
/
32000000000000
)
≤
-
(
4719934683011539956371
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
23800963305737
/
32000000000000
)
≤
-
(
2791301348886200293647
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
23800963305737
/
32000000000000
)
≤
-
(
13299454215022681784837
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
23800963305737
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_643
:
Uρ
(
23800963305737
/
32000000000000
)
≤
-
(
5316853278250076301219
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
11915720012147
/
16000000000000
)
≤
-
(
3034313242643511466231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
11915720012147
/
16000000000000
)
≤
-
(
766681606501934609241
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
11915720012147
/
16000000000000
)
≤
-
(
3131835926320268809229
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
11915720012147
/
16000000000000
)
≤
-
(
810203488653197127289
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
11915720012147
/
16000000000000
)
≤
-
(
852202912960722596749
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
11915720012147
/
16000000000000
)
≤
-
(
3654136752082123200103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
11915720012147
/
16000000000000
)
≤
-
(
3997410399111135964581
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
11915720012147
/
16000000000000
)
≤
-
(
178431660047890653203
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
11915720012147
/
16000000000000
)
≤
-
(
633417449450731358873
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
11915720012147
/
16000000000000
)
≤
-
(
2920308785161509705411
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
11915720012147
/
16000000000000
)
≤
-
(
3402357746865413340039
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
11915720012147
/
16000000000000
)
≤
-
(
3992539167654871337849
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
11915720012147
/
16000000000000
)
≤
-
(
9411249327571361579049
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
11915720012147
/
16000000000000
)
≤
-
(
5563087789113514828389
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
11915720012147
/
16000000000000
)
≤
-
(
13233586213666000565321
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
11915720012147
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_644
:
Uρ
(
11915720012147
/
16000000000000
)
≤
-
(
2649474067190841539383
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
746637295669
/
1000000000000
)
≤
-
(
1504272986350256580489
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
746637295669
/
1000000000000
)
≤
-
(
3040875180557327393003
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
746637295669
/
1000000000000
)
≤
-
(
388226843643701977613
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
746637295669
/
1000000000000
)
≤
-
(
1607252284779575578089
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
746637295669
/
1000000000000
)
≤
-
(
3382048462402861285543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
746637295669
/
1000000000000
)
≤
-
(
3626689334411872943689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
746637295669
/
1000000000000
)
≤
-
(
496120014692653319329
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
746637295669
/
1000000000000
)
≤
-
(
4430896251256838405569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
746637295669
/
1000000000000
)
≤
-
(
2517687802170217421033
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
746637295669
/
1000000000000
)
≤
-
(
2902837945202620132743
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
746637295669
/
1000000000000
)
≤
-
(
1691350707796066750917
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
746637295669
/
1000000000000
)
≤
-
(
3969546476480306766289
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
746637295669
/
1000000000000
)
≤
-
(
935433640031612922849
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
746637295669
/
1000000000000
)
≤
-
(
1104887668831840048521
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
746637295669
/
1000000000000
)
≤
-
(
6552593809832138435991
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
746637295669
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_645
:
Uρ
(
746637295669
/
1000000000000
)
≤
-
(
5263357591767758389913
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
765809953469387
/
1024000000000000
)
≤
-
(
2992023359028118615229
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3024298834984676636863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3089129675859665067647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3197635102305245452937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3364888680715927873629
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
765809953469387
/
1024000000000000
)
≤
-
(
902272973128295129753
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3950721346605848420679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
765809953469387
/
1024000000000000
)
≤
-
(
1102933434446520637007
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
765809953469387
/
1024000000000000
)
≤
-
(
5014891254244500333307
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
765809953469387
/
1024000000000000
)
≤
-
(
2891645207438468629941
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
765809953469387
/
1024000000000000
)
≤
-
(
6740230160113358478249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3954837198590898932649
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
765809953469387
/
1024000000000000
)
≤
-
(
9317992342333403447889
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
765809953469387
/
1024000000000000
)
≤
-
(
10999728173947622292111
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3256218652869368476347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
765809953469387
/
1024000000000000
)
≤
-
(
3195214162855050481337
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_646
:
Uρ
(
765809953469387
/
1024000000000000
)
≤
-
(
2617905894506130104443
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
383531658086859
/
512000000000000
)
≤
-
(
2975528000166417994777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
383531658086859
/
512000000000000
)
≤
-
(
3007749922533249645921
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
383531658086859
/
512000000000000
)
≤
-
(
3072472399178550156159
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
383531658086859
/
512000000000000
)
≤
-
(
3180794056339040181553
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
383531658086859
/
512000000000000
)
≤
-
(
1673879162526766033253
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
383531658086859
/
512000000000000
)
≤
-
(
1795762720630881838427
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
383531658086859
/
512000000000000
)
≤
-
(
983128992591838766227
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
383531658086859
/
512000000000000
)
≤
-
(
4392608322960627458259
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
383531658086859
/
512000000000000
)
≤
-
(
998889964806808706123
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
383531658086859
/
512000000000000
)
≤
-
(
5760957383230505686231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
383531658086859
/
512000000000000
)
≤
-
(
3357563293086641684171
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
383531658086859
/
512000000000000
)
≤
-
(
1970089311762010817417
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
383531658086859
/
512000000000000
)
≤
-
(
1856364708443179756327
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
383531658086859
/
512000000000000
)
≤
-
(
10950977982772224991237
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
383531658086859
/
512000000000000
)
≤
-
(
80913513290171031217
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_647_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
383531658086859
/
512000000000000
)
≤
-
(
7820519683689689857467
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_647
:
Uρ
(
383531658086859
/
512000000000000
)
≤
-
(
5211206336518075658923
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
768316678878049
/
1024000000000000
)
≤
-
(
1479529903173407912513
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
768316678878049
/
1024000000000000
)
≤
-
(
1495614176274166129169
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
768316678878049
/
1024000000000000
)
≤
-
(
1527921413315886781817
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
768316678878049
/
1024000000000000
)
≤
-
(
1581990668008304209843
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
768316678878049
/
1024000000000000
)
≤
-
(
3330657294562922625271
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
768316678878049
/
1024000000000000
)
≤
-
(
714797974284375681511
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
768316678878049
/
1024000000000000
)
≤
-
(
489292983258718903463
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
768316678878049
/
1024000000000000
)
≤
-
(
4373519861695254145247
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
768316678878049
/
1024000000000000
)
≤
-
(
2487025564965771604759
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
768316678878049
/
1024000000000000
)
≤
-
(
1434669134801156281813
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
768316678878049
/
1024000000000000
)
≤
-
(
3345045850188347560643
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
768316678878049
/
1024000000000000
)
≤
-
(
245348147203090920197
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
768316678878049
/
1024000000000000
)
≤
-
(
9245827955184049930021
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
768316678878049
/
1024000000000000
)
≤
-
(
10902617715487759439317
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
768316678878049
/
1024000000000000
)
≤
-
(
12868962730306120814047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
768316678878049
/
1024000000000000
)
≤
-
(
3076834627347482851323
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_648
:
Uρ
(
768316678878049
/
1024000000000000
)
≤
-
(
1037435107378750881219
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
38478502079119
/
51200000000000
)
≤
-
(
1471309344121746862427
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
38478502079119
/
51200000000000
)
≤
-
(
2974734034823848649063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
38478502079119
/
51200000000000
)
≤
-
(
3039240866205603229829
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
38478502079119
/
51200000000000
)
≤
-
(
1573598423088097864679
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
38478502079119
/
51200000000000
)
≤
-
(
82839637222737004547
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
38478502079119
/
51200000000000
)
≤
-
(
3556485074335744005427
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
38478502079119
/
51200000000000
)
≤
-
(
3896204911636402043661
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
38478502079119
/
51200000000000
)
≤
-
(
4354468209763952836931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
38478502079119
/
51200000000000
)
≤
-
(
990738997872693485211
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
38478502079119
/
51200000000000
)
≤
-
(
142911190712137077017
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
38478502079119
/
51200000000000
)
≤
-
(
1666281274396531617289
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
38478502079119
/
51200000000000
)
≤
-
(
1955506001388691126887
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
38478502079119
/
51200000000000
)
≤
-
(
9210003576042587965751
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
38478502079119
/
51200000000000
)
≤
-
(
2170927853472496869607
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
38478502079119
/
51200000000000
)
≤
-
(
12793196732551274176083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
38478502079119
/
51200000000000
)
≤
-
(
758390116236913319073
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_649
:
Uρ
(
38478502079119
/
51200000000000
)
≤
-
(
161359119069458724063
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
770823404286711
/
1024000000000000
)
≤
-
(
1463102278485251628801
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
770823404286711
/
1024000000000000
)
≤
-
(
1479133439799703354753
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
770823404286711
/
1024000000000000
)
≤
-
(
1511333213172008917413
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
770823404286711
/
1024000000000000
)
≤
-
(
3130440492134986453193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
770823404286711
/
1024000000000000
)
≤
-
(
1648271404136584240029
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
770823404286711
/
1024000000000000
)
≤
-
(
1769505470959731984053
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
770823404286711
/
1024000000000000
)
≤
-
(
387809898566500223647
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
770823404286711
/
1024000000000000
)
≤
-
(
867090644758616515783
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
770823404286711
/
1024000000000000
)
≤
-
(
4933381220949565653991
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
770823404286711
/
1024000000000000
)
≤
-
(
2847135199343223354549
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
770823404286711
/
1024000000000000
)
≤
-
(
1328045275292720239523
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
770823404286711
/
1024000000000000
)
≤
-
(
7793006360136964195467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
770823404286711
/
1024000000000000
)
≤
-
(
9174348438106759670099
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
770823404286711
/
1024000000000000
)
≤
-
(
10807034813892791887537
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
770823404286711
/
1024000000000000
)
≤
-
(
12718791257063904718547
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
770823404286711
/
1024000000000000
)
≤
-
(
936083213417966146663
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_650
:
Uρ
(
770823404286711
/
1024000000000000
)
≤
-
(
1028013062888184996239
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
386038383495521
/
512000000000000
)
≤
-
(
1454908662039441301187
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
386038383495521
/
512000000000000
)
≤
-
(
2941826797557366372611
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
386038383495521
/
512000000000000
)
≤
-
(
150305970797283732639
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
386038383495521
/
512000000000000
)
≤
-
(
3113712179685890930111
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
386038383495521
/
512000000000000
)
≤
-
(
3279529153345017258651
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
386038383495521
/
512000000000000
)
≤
-
(
880391841664744773029
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
386038383495521
/
512000000000000
)
≤
-
(
772005193484518130031
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
386038383495521
/
512000000000000
)
≤
-
(
4316474761254591827999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
386038383495521
/
512000000000000
)
≤
-
(
2456554822246143235107
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
386038383495521
/
512000000000000
)
≤
-
(
5672144599328013069273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
386038383495521
/
512000000000000
)
≤
-
(
66153951394211009971
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
386038383495521
/
512000000000000
)
≤
-
(
7764087011892156874073
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
386038383495521
/
512000000000000
)
≤
-
(
2284715153041468922039
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
386038383495521
/
512000000000000
)
≤
-
(
10759796797346239902829
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
386038383495521
/
512000000000000
)
≤
-
(
252913589034511244197
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
386038383495521
/
512000000000000
)
≤
-
(
7402636371640588000721
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_651
:
Uρ
(
386038383495521
/
512000000000000
)
≤
-
(
511684876669522631533
/
1000000000000000000000
)