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.
Table
.
U04
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_52_1
Zeta5Irrational
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U_52_2
Zeta5Irrational
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U_52_3
Zeta5Irrational
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U_52_4
Zeta5Irrational
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U_52_5
Zeta5Irrational
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U_52_6
Zeta5Irrational
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U_52_7
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U_52_8
Zeta5Irrational
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U_52_9
Zeta5Irrational
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U_52_10
Zeta5Irrational
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U_52_11
Zeta5Irrational
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U_52_12
Zeta5Irrational
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U_52_13
Zeta5Irrational
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U_52_14
Zeta5Irrational
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U_52_15
Zeta5Irrational
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U_52_16
Zeta5Irrational
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U_52
Zeta5Irrational
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U_53_1
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U_53_2
Zeta5Irrational
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U_53_3
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U_53_4
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U_53_5
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U_53_6
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U_53_7
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U_53_8
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U_53_9
Zeta5Irrational
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U_53_10
Zeta5Irrational
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U_53_11
Zeta5Irrational
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U_53_12
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U_53_13
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U_53_14
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U_53_15
Zeta5Irrational
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U_53_16
Zeta5Irrational
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U_53
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U_54_1
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U_54_2
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U_54_3
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U_54_4
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U_54_5
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U_54_6
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U_54_7
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U_54_8
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U_54_9
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U_54_10
Zeta5Irrational
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U_54_11
Zeta5Irrational
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U_54_12
Zeta5Irrational
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U_54_13
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U_54_14
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U_54_15
Zeta5Irrational
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U_54_16
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U_54
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U_55_1
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U_55_2
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U_55_3
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U_55_4
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U_55_5
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U_55_6
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U_55_7
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U_55_8
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U_55_9
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U_55_10
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U_55_11
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U_55_12
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U_55_13
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U_55_14
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U_55_15
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U_55_16
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U_55
Zeta5Irrational
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U_56_1
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U_56_2
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U_56_3
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U_56_4
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U_56_5
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U_56_6
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U_56_7
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U_56_10
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U_56_11
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U_56_12
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U_56_13
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U_56_14
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U_56_15
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U_56_16
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U_56
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U_57_1
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U_57_2
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U_57_3
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U_57_4
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U_57_5
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U_57_6
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U_57_7
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U_57_10
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U_57_11
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U_57_12
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U_57_13
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U_57_14
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U_57_15
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U_57_16
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U_57
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U_58_1
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U_58_2
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U_58_3
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U_58_4
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U_58_5
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U_58_6
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U_58_7
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U_58_8
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U_58_9
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U_58_10
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U_58_11
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U_58_12
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U_58_13
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U_58_14
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U_58_15
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U_58_16
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U_58
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U_59_1
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U_59_2
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U_59_3
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U_59_4
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U_59_5
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U_59_6
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U_59_7
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U_59_8
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U_59_9
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U_59_10
Zeta5Irrational
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U_59_11
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U_59_12
Zeta5Irrational
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U_59_13
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U_59_14
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U_59_15
Zeta5Irrational
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U_59_16
Zeta5Irrational
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U_59
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U_60_1
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U_60_2
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U_60_3
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U_60_4
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U_60_5
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U_60_6
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U_60_7
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U_60_8
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U_60_9
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U_60_10
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U_60_11
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U_60_12
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U_60_13
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U_60_14
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U_60_15
Zeta5Irrational
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U_60_16
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U_60
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U_61_1
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U_61_2
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U_61_3
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U_61_4
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U_61_5
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U_61_6
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U_61_7
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U_61_9
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U_61_10
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U_61_13
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U_61_14
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U_61
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U_62_1
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U_62_2
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U_62_3
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U_62_4
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U_62_5
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U_62_6
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U_62_7
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U_62_8
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U_62_9
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U_62_10
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U_62_11
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U_62_12
Zeta5Irrational
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U_62_13
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U_62_14
Zeta5Irrational
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U_62_15
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U_62_16
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U_62
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U_63_1
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U_63_2
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U_63_3
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U_63_4
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U_63_5
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U_63_6
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U_63_7
Zeta5Irrational
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U_63_8
Zeta5Irrational
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U_63_9
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U_63_10
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U_63_16
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U_63
Certified arcsine potential bounds (U04)
#
source
theorem
Zeta5Irrational
.
U_52_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
41071178579
/
2000000000000
)
≤
-
(
10677082056811715580897
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
41071178579
/
2000000000000
)
≤
-
(
45357165225401575594487
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
41071178579
/
2000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
41071178579
/
2000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
41071178579
/
2000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
41071178579
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
41071178579
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
41071178579
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
41071178579
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
41071178579
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
41071178579
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
41071178579
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
41071178579
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
41071178579
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
41071178579
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_52_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
41071178579
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_52
:
Uρ
(
41071178579
/
2000000000000
)
≤
-
(
28080017513087561787613
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
34934779437
/
1600000000000
)
≤
-
(
8362590788884110065771
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
34934779437
/
1600000000000
)
≤
-
(
1764723410583048654431
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
34934779437
/
1600000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
34934779437
/
1600000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
34934779437
/
1600000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
34934779437
/
1600000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
34934779437
/
1600000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
34934779437
/
1600000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
34934779437
/
1600000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
34934779437
/
1600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
34934779437
/
1600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
34934779437
/
1600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
34934779437
/
1600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
34934779437
/
1600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
34934779437
/
1600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_53_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
34934779437
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_53
:
Uρ
(
34934779437
/
1600000000000
)
≤
-
(
28034084278989397482397
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
92531540027
/
4000000000000
)
≤
-
(
20496075350021699854459
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
92531540027
/
4000000000000
)
≤
-
(
21517316490172672414011
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
92531540027
/
4000000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
92531540027
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
92531540027
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
92531540027
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
92531540027
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
92531540027
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
92531540027
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
92531540027
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
92531540027
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
92531540027
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
92531540027
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
92531540027
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
92531540027
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_54_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
92531540027
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_54
:
Uρ
(
92531540027
/
4000000000000
)
≤
-
(
27993521821896214356369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6432545181
/
250000000000
)
≤
-
(
19765204149885397770799
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6432545181
/
250000000000
)
≤
-
(
20598094011261554616851
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6432545181
/
250000000000
)
≤
-
(
25512130211755314637529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6432545181
/
250000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6432545181
/
250000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6432545181
/
250000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6432545181
/
250000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6432545181
/
250000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6432545181
/
250000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6432545181
/
250000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6432545181
/
250000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6432545181
/
250000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6432545181
/
250000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6432545181
/
250000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6432545181
/
250000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_55_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6432545181
/
250000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_55
:
Uρ
(
6432545181
/
250000000000
)
≤
-
(
3490496070168995482161
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
213931144553
/
8000000000000
)
≤
-
(
19507472141650856272829
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
213931144553
/
8000000000000
)
≤
-
(
40569578445247696299549
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
213931144553
/
8000000000000
)
≤
-
(
46974446160582055541859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
213931144553
/
8000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
213931144553
/
8000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
213931144553
/
8000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
213931144553
/
8000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
213931144553
/
8000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
213931144553
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
213931144553
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
213931144553
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
213931144553
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
213931144553
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
213931144553
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
213931144553
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_56_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
213931144553
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_56
:
Uρ
(
213931144553
/
8000000000000
)
≤
-
(
13863102336300848802043
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
435951987867
/
16000000000000
)
≤
-
(
38766920785090621061557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
435951987867
/
16000000000000
)
≤
-
(
8054285062790282216923
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
435951987867
/
16000000000000
)
≤
-
(
46080796762313820607457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
435951987867
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
435951987867
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
435951987867
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
435951987867
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
435951987867
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
435951987867
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
435951987867
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
435951987867
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
435951987867
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
435951987867
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
435951987867
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
435951987867
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_57_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
435951987867
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_57
:
Uρ
(
435951987867
/
16000000000000
)
≤
-
(
5535288239441576547317
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
111010421657
/
4000000000000
)
≤
-
(
38524944569892604705309
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
111010421657
/
4000000000000
)
≤
-
(
19991241739447185349551
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
111010421657
/
4000000000000
)
≤
-
(
45334787031774164684501
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
111010421657
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
111010421657
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
111010421657
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
111010421657
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
111010421657
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
111010421657
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
111010421657
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
111010421657
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
111010421657
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
111010421657
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
111010421657
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
111010421657
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_58_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
111010421657
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_58
:
Uρ
(
111010421657
/
4000000000000
)
≤
-
(
27633351600905070070711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
452131385389
/
16000000000000
)
≤
-
(
19144362876016614852763
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
452131385389
/
16000000000000
)
≤
-
(
7940433853980462156227
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
452131385389
/
16000000000000
)
≤
-
(
44683833187501300822249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
452131385389
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
452131385389
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
452131385389
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
452131385389
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
452131385389
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
452131385389
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
452131385389
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
452131385389
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
452131385389
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
452131385389
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
452131385389
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
452131385389
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_59_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
452131385389
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_59
:
Uρ
(
452131385389
/
16000000000000
)
≤
-
(
3449332247790833623903
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
912352469539
/
32000000000000
)
≤
-
(
19086345216926816612793
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
912352469539
/
32000000000000
)
≤
-
(
791301614016874710873
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
912352469539
/
32000000000000
)
≤
-
(
22192513593791331396327
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
912352469539
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
912352469539
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
912352469539
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
912352469539
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
912352469539
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
912352469539
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
912352469539
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
912352469539
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
912352469539
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
912352469539
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
912352469539
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
912352469539
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_60_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
912352469539
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_60
:
Uρ
(
912352469539
/
32000000000000
)
≤
-
(
27576568517522084070211
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9204421683
/
320000000000
)
≤
-
(
19028997467622808750993
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9204421683
/
320000000000
)
≤
-
(
19714977607198277378769
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9204421683
/
320000000000
)
≤
-
(
22050425163131483974353
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9204421683
/
320000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9204421683
/
320000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9204421683
/
320000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9204421683
/
320000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9204421683
/
320000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9204421683
/
320000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9204421683
/
320000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9204421683
/
320000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9204421683
/
320000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9204421683
/
320000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9204421683
/
320000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9204421683
/
320000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_61_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9204421683
/
320000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_61
:
Uρ
(
9204421683
/
320000000000
)
≤
-
(
27559179089952747868089
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
928531867061
/
32000000000000
)
≤
-
(
7588921694372028541901
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
928531867061
/
32000000000000
)
≤
-
(
39296734472550530549671
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
928531867061
/
32000000000000
)
≤
-
(
2739346502402930483743
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
928531867061
/
32000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
928531867061
/
32000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
928531867061
/
32000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
928531867061
/
32000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
928531867061
/
32000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
928531867061
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
928531867061
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
928531867061
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
928531867061
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
928531867061
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
928531867061
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
928531867061
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_62_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
928531867061
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_62
:
Uρ
(
928531867061
/
32000000000000
)
≤
-
(
6885603038426120732053
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
468310782911
/
16000000000000
)
≤
-
(
4729062664342235400103
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
468310782911
/
16000000000000
)
≤
-
(
9791340702794776363367
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
468310782911
/
16000000000000
)
≤
-
(
43569679477317919277667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
468310782911
/
16000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
468310782911
/
16000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
468310782911
/
16000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
468310782911
/
16000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
468310782911
/
16000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
468310782911
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
468310782911
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
468310782911
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
468310782911
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
468310782911
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
468310782911
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
468310782911
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_63_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
468310782911
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_63
:
Uρ
(
468310782911
/
16000000000000
)
≤
-
(
27526204409010125473529
/
10000000000000000000000
)