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.
Zeta5Irrational
.
Table
.
U48
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_580_1
Zeta5Irrational
.
U_580_2
Zeta5Irrational
.
U_580_3
Zeta5Irrational
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U_580_4
Zeta5Irrational
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U_580_5
Zeta5Irrational
.
U_580_6
Zeta5Irrational
.
U_580_7
Zeta5Irrational
.
U_580_8
Zeta5Irrational
.
U_580_9
Zeta5Irrational
.
U_580_10
Zeta5Irrational
.
U_580_11
Zeta5Irrational
.
U_580_12
Zeta5Irrational
.
U_580_13
Zeta5Irrational
.
U_580_14
Zeta5Irrational
.
U_580_15
Zeta5Irrational
.
U_580_16
Zeta5Irrational
.
U_580
Zeta5Irrational
.
U_581_1
Zeta5Irrational
.
U_581_2
Zeta5Irrational
.
U_581_3
Zeta5Irrational
.
U_581_4
Zeta5Irrational
.
U_581_5
Zeta5Irrational
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U_581_6
Zeta5Irrational
.
U_581_7
Zeta5Irrational
.
U_581_8
Zeta5Irrational
.
U_581_9
Zeta5Irrational
.
U_581_10
Zeta5Irrational
.
U_581_11
Zeta5Irrational
.
U_581_12
Zeta5Irrational
.
U_581_13
Zeta5Irrational
.
U_581_14
Zeta5Irrational
.
U_581_15
Zeta5Irrational
.
U_581_16
Zeta5Irrational
.
U_581
Zeta5Irrational
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U_582_1
Zeta5Irrational
.
U_582_2
Zeta5Irrational
.
U_582_3
Zeta5Irrational
.
U_582_4
Zeta5Irrational
.
U_582_5
Zeta5Irrational
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U_582_6
Zeta5Irrational
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U_582_7
Zeta5Irrational
.
U_582_8
Zeta5Irrational
.
U_582_9
Zeta5Irrational
.
U_582_10
Zeta5Irrational
.
U_582_11
Zeta5Irrational
.
U_582_12
Zeta5Irrational
.
U_582_13
Zeta5Irrational
.
U_582_14
Zeta5Irrational
.
U_582_15
Zeta5Irrational
.
U_582_16
Zeta5Irrational
.
U_582
Zeta5Irrational
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U_583_1
Zeta5Irrational
.
U_583_2
Zeta5Irrational
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U_583_3
Zeta5Irrational
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U_583_4
Zeta5Irrational
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U_583_5
Zeta5Irrational
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U_583_6
Zeta5Irrational
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U_583_7
Zeta5Irrational
.
U_583_8
Zeta5Irrational
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U_583_9
Zeta5Irrational
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U_583_10
Zeta5Irrational
.
U_583_11
Zeta5Irrational
.
U_583_12
Zeta5Irrational
.
U_583_13
Zeta5Irrational
.
U_583_14
Zeta5Irrational
.
U_583_15
Zeta5Irrational
.
U_583_16
Zeta5Irrational
.
U_583
Zeta5Irrational
.
U_584_1
Zeta5Irrational
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U_584_2
Zeta5Irrational
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U_584_3
Zeta5Irrational
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U_584_4
Zeta5Irrational
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U_584_5
Zeta5Irrational
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U_584_6
Zeta5Irrational
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U_584_7
Zeta5Irrational
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U_584_8
Zeta5Irrational
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U_584_9
Zeta5Irrational
.
U_584_10
Zeta5Irrational
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U_584_11
Zeta5Irrational
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U_584_12
Zeta5Irrational
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U_584_13
Zeta5Irrational
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U_584_14
Zeta5Irrational
.
U_584_15
Zeta5Irrational
.
U_584_16
Zeta5Irrational
.
U_584
Zeta5Irrational
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U_585_1
Zeta5Irrational
.
U_585_2
Zeta5Irrational
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U_585_3
Zeta5Irrational
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U_585_4
Zeta5Irrational
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U_585_5
Zeta5Irrational
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U_585_6
Zeta5Irrational
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U_585_7
Zeta5Irrational
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U_585_8
Zeta5Irrational
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U_585_9
Zeta5Irrational
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U_585_10
Zeta5Irrational
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U_585_11
Zeta5Irrational
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U_585_12
Zeta5Irrational
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U_585_13
Zeta5Irrational
.
U_585_14
Zeta5Irrational
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U_585_15
Zeta5Irrational
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U_585_16
Zeta5Irrational
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U_585
Zeta5Irrational
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U_586_1
Zeta5Irrational
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U_586_2
Zeta5Irrational
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U_586_3
Zeta5Irrational
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U_586_4
Zeta5Irrational
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U_586_5
Zeta5Irrational
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U_586_6
Zeta5Irrational
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U_586_7
Zeta5Irrational
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U_586_8
Zeta5Irrational
.
U_586_9
Zeta5Irrational
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U_586_10
Zeta5Irrational
.
U_586_11
Zeta5Irrational
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U_586_12
Zeta5Irrational
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U_586_13
Zeta5Irrational
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U_586_14
Zeta5Irrational
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U_586_15
Zeta5Irrational
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U_586_16
Zeta5Irrational
.
U_586
Zeta5Irrational
.
U_587_1
Zeta5Irrational
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U_587_2
Zeta5Irrational
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U_587_3
Zeta5Irrational
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U_587_4
Zeta5Irrational
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U_587_5
Zeta5Irrational
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U_587_6
Zeta5Irrational
.
U_587_7
Zeta5Irrational
.
U_587_8
Zeta5Irrational
.
U_587_9
Zeta5Irrational
.
U_587_10
Zeta5Irrational
.
U_587_11
Zeta5Irrational
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U_587_12
Zeta5Irrational
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U_587_13
Zeta5Irrational
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U_587_14
Zeta5Irrational
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U_587_15
Zeta5Irrational
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U_587_16
Zeta5Irrational
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U_587
Zeta5Irrational
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U_588_1
Zeta5Irrational
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U_588_2
Zeta5Irrational
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U_588_3
Zeta5Irrational
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U_588_4
Zeta5Irrational
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U_588_5
Zeta5Irrational
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U_588_6
Zeta5Irrational
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U_588_7
Zeta5Irrational
.
U_588_8
Zeta5Irrational
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U_588_9
Zeta5Irrational
.
U_588_10
Zeta5Irrational
.
U_588_11
Zeta5Irrational
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U_588_12
Zeta5Irrational
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U_588_13
Zeta5Irrational
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U_588_14
Zeta5Irrational
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U_588_15
Zeta5Irrational
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U_588_16
Zeta5Irrational
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U_588
Zeta5Irrational
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U_589_1
Zeta5Irrational
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U_589_2
Zeta5Irrational
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U_589_3
Zeta5Irrational
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U_589_4
Zeta5Irrational
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U_589_5
Zeta5Irrational
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U_589_6
Zeta5Irrational
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U_589_7
Zeta5Irrational
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U_589_8
Zeta5Irrational
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U_589_9
Zeta5Irrational
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U_589_10
Zeta5Irrational
.
U_589_11
Zeta5Irrational
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U_589_12
Zeta5Irrational
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U_589_13
Zeta5Irrational
.
U_589_14
Zeta5Irrational
.
U_589_15
Zeta5Irrational
.
U_589_16
Zeta5Irrational
.
U_589
Zeta5Irrational
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U_590_1
Zeta5Irrational
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U_590_2
Zeta5Irrational
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U_590_3
Zeta5Irrational
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U_590_4
Zeta5Irrational
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U_590_5
Zeta5Irrational
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U_590_6
Zeta5Irrational
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U_590_7
Zeta5Irrational
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U_590_8
Zeta5Irrational
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U_590_9
Zeta5Irrational
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U_590_10
Zeta5Irrational
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U_590_11
Zeta5Irrational
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U_590_12
Zeta5Irrational
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U_590_13
Zeta5Irrational
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U_590_14
Zeta5Irrational
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U_590_15
Zeta5Irrational
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U_590_16
Zeta5Irrational
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U_590
Zeta5Irrational
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U_591_1
Zeta5Irrational
.
U_591_2
Zeta5Irrational
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U_591_3
Zeta5Irrational
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U_591_4
Zeta5Irrational
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U_591_5
Zeta5Irrational
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U_591_6
Zeta5Irrational
.
U_591_7
Zeta5Irrational
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U_591_8
Zeta5Irrational
.
U_591_9
Zeta5Irrational
.
U_591_10
Zeta5Irrational
.
U_591_11
Zeta5Irrational
.
U_591_12
Zeta5Irrational
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U_591_13
Zeta5Irrational
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U_591_14
Zeta5Irrational
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U_591_15
Zeta5Irrational
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U_591_16
Zeta5Irrational
.
U_591
Certified arcsine potential bounds (U48)
#
source
theorem
Zeta5Irrational
.
U_580_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43290236447347
/
64000000000000
)
≤
-
(
4005405391022337117569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43290236447347
/
64000000000000
)
≤
-
(
2020574381616309005321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43290236447347
/
64000000000000
)
≤
-
(
4113002484966424445947
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43290236447347
/
64000000000000
)
≤
-
(
1058358803653668769017
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43290236447347
/
64000000000000
)
≤
-
(
220975577212004283547
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43290236447347
/
64000000000000
)
≤
-
(
4692195289343839263543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43290236447347
/
64000000000000
)
≤
-
(
5075794398165442137843
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43290236447347
/
64000000000000
)
≤
-
(
1399444218052103159183
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43290236447347
/
64000000000000
)
≤
-
(
6289329057577266237567
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43290236447347
/
64000000000000
)
≤
-
(
7187502901981604046617
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43290236447347
/
64000000000000
)
≤
-
(
8341281510819861628441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43290236447347
/
64000000000000
)
≤
-
(
4914793623665919405137
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43290236447347
/
64000000000000
)
≤
-
(
11831206847900431713959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43290236447347
/
64000000000000
)
≤
-
(
7628136779712544570147
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43290236447347
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_580_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43290236447347
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_580
:
Uρ
(
43290236447347
/
64000000000000
)
≤
-
(
837778362582075301389
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2708884727561
/
4000000000000
)
≤
-
(
3993303889330489471621
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2708884727561
/
4000000000000
)
≤
-
(
4029003710659338433683
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2708884727561
/
4000000000000
)
≤
-
(
4100769167401937979183
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2708884727561
/
4000000000000
)
≤
-
(
4221051777138668487973
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2708884727561
/
4000000000000
)
≤
-
(
4406890640283341706941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2708884727561
/
4000000000000
)
≤
-
(
292450859203226838757
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2708884727561
/
4000000000000
)
≤
-
(
2531139197092148791153
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2708884727561
/
4000000000000
)
≤
-
(
5583477732194065256547
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2708884727561
/
4000000000000
)
≤
-
(
1568469855154944946347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2708884727561
/
4000000000000
)
≤
-
(
7170328599460265511283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2708884727561
/
4000000000000
)
≤
-
(
8321398900107086323937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2708884727561
/
4000000000000
)
≤
-
(
39220117818480693483
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2708884727561
/
4000000000000
)
≤
-
(
11796635347326533752359
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2708884727561
/
4000000000000
)
≤
-
(
1516831959140549096717
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2708884727561
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_581_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2708884727561
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_581
:
Uρ
(
2708884727561
/
4000000000000
)
≤
-
(
41775748645483768217
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8678814966921
/
12800000000000
)
≤
-
(
497652126834867869363
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8678814966921
/
12800000000000
)
≤
-
(
4016873391124482683507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8678814966921
/
12800000000000
)
≤
-
(
4088550799468137633081
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8678814966921
/
12800000000000
)
≤
-
(
4208683663139425892631
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8678814966921
/
12800000000000
)
≤
-
(
549285708176747111411
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8678814966921
/
12800000000000
)
≤
-
(
466624908802661578893
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8678814966921
/
12800000000000
)
≤
-
(
631097595537542197029
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8678814966921
/
12800000000000
)
≤
-
(
1392299831538579844629
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8678814966921
/
12800000000000
)
≤
-
(
6258454383988677137099
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8678814966921
/
12800000000000
)
≤
-
(
447074103633723834573
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8678814966921
/
12800000000000
)
≤
-
(
518847554900022932309
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8678814966921
/
12800000000000
)
≤
-
(
9780547872498677856713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8678814966921
/
12800000000000
)
≤
-
(
5881127756237673751163
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8678814966921
/
12800000000000
)
≤
-
(
3770781227787045933889
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8678814966921
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_582_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8678814966921
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_582
:
Uρ
(
8678814966921
/
12800000000000
)
≤
-
(
1333233638414966829353
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21722997014117
/
32000000000000
)
≤
-
(
1984572365875415154351
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21722997014117
/
32000000000000
)
≤
-
(
4004757768924670619983
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21722997014117
/
32000000000000
)
≤
-
(
815269468933069742969
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21722997014117
/
32000000000000
)
≤
-
(
2098165417361143833627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21722997014117
/
32000000000000
)
≤
-
(
4381696579422479512909
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21722997014117
/
32000000000000
)
≤
-
(
4653301267676273408001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21722997014117
/
32000000000000
)
≤
-
(
1258825364568131694757
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21722997014117
/
32000000000000
)
≤
-
(
1388735398284956359487
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21722997014117
/
32000000000000
)
≤
-
(
6243053867070716944753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21722997014117
/
32000000000000
)
≤
-
(
7136073956947920528813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21722997014117
/
32000000000000
)
≤
-
(
8281767224600949070467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21722997014117
/
32000000000000
)
≤
-
(
9756141941200541419451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21722997014117
/
32000000000000
)
≤
-
(
586403229508580354881
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21722997014117
/
32000000000000
)
≤
-
(
3000090141854125438813
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21722997014117
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_583_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21722997014117
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_583
:
Uρ
(
21722997014117
/
32000000000000
)
≤
-
(
3324180630720396764653
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43497913221863
/
64000000000000
)
≤
-
(
3957087005357036086949
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43497913221863
/
64000000000000
)
≤
-
(
1996328404243077264093
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43497913221863
/
64000000000000
)
≤
-
(
4064158766627427001413
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43497913221863
/
64000000000000
)
≤
-
(
167359730165322291151
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43497913221863
/
64000000000000
)
≤
-
(
4369123342251587632137
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43497913221863
/
64000000000000
)
≤
-
(
1160092560595083378649
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43497913221863
/
64000000000000
)
≤
-
(
5021840426067032372317
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43497913221863
/
64000000000000
)
≤
-
(
2770352236236726762283
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43497913221863
/
64000000000000
)
≤
-
(
6227677789659275289543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43497913221863
/
64000000000000
)
≤
-
(
7118993375547906127047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43497913221863
/
64000000000000
)
≤
-
(
1652403543875702179933
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43497913221863
/
64000000000000
)
≤
-
(
9731811107760359174813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43497913221863
/
64000000000000
)
≤
-
(
11694059893297898993841
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43497913221863
/
64000000000000
)
≤
-
(
14920090891057678189429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43497913221863
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_584_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43497913221863
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_584
:
Uρ
(
43497913221863
/
64000000000000
)
≤
-
(
663068958368421010261
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10887458103873
/
16000000000000
)
≤
-
(
986260950108896607393
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10887458103873
/
16000000000000
)
≤
-
(
995142618591047904077
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10887458103873
/
16000000000000
)
≤
-
(
4051985029121106850783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10887458103873
/
16000000000000
)
≤
-
(
1042917720939327110799
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10887458103873
/
16000000000000
)
≤
-
(
4356565913995524418331
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10887458103873
/
16000000000000
)
≤
-
(
4627455968489878491293
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10887458103873
/
16000000000000
)
≤
-
(
500839761785607599
/
1000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10887458103873
/
16000000000000
)
≤
-
(
2763243951874325661233
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10887458103873
/
16000000000000
)
≤
-
(
6212326071951551424699
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10887458103873
/
16000000000000
)
≤
-
(
443871487145641250981
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10887458103873
/
16000000000000
)
≤
-
(
257572254535980578843
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10887458103873
/
16000000000000
)
≤
-
(
9707554825897988957459
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10887458103873
/
16000000000000
)
≤
-
(
11660238798583253649693
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10887458103873
/
16000000000000
)
≤
-
(
14841866121726024649593
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10887458103873
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_585_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10887458103873
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_585
:
Uρ
(
10887458103873
/
16000000000000
)
≤
-
(
6613144944372741958823
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43601751609121
/
64000000000000
)
≤
-
(
1966507541025517927749
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43601751609121
/
64000000000000
)
≤
-
(
158739949249696931061
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43601751609121
/
64000000000000
)
≤
-
(
4039826096045358521497
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43601751609121
/
64000000000000
)
≤
-
(
1039840921529924137879
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43601751609121
/
64000000000000
)
≤
-
(
4344024254899230569613
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43601751609121
/
64000000000000
)
≤
-
(
4614558402526447368687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43601751609121
/
64000000000000
)
≤
-
(
998994596803359351861
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43601751609121
/
64000000000000
)
≤
-
(
2756145913413908321303
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43601751609121
/
64000000000000
)
≤
-
(
774624829318223816123
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43601751609121
/
64000000000000
)
≤
-
(
3542462547203858067021
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43601751609121
/
64000000000000
)
≤
-
(
8222650286067020655741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43601751609121
/
64000000000000
)
≤
-
(
591026156976621987
/
610351562500000000
)
source
theorem
Zeta5Irrational
.
U_586_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43601751609121
/
64000000000000
)
≤
-
(
11626598744486248832609
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43601751609121
/
64000000000000
)
≤
-
(
7382809598534463882491
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43601751609121
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_586_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43601751609121
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_586
:
Uρ
(
43601751609121
/
64000000000000
)
≤
-
(
329786005827769626429
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
174614683211
/
256000000000
)
≤
-
(
1960500407696928441209
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
174614683211
/
256000000000
)
≤
-
(
3956441543932251401597
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
174614683211
/
256000000000
)
≤
-
(
2013840965715370581603
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
174614683211
/
256000000000
)
≤
-
(
4147071623883270545931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
174614683211
/
256000000000
)
≤
-
(
866299665071521699251
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
174614683211
/
256000000000
)
≤
-
(
4601677501181152033433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
174614683211
/
256000000000
)
≤
-
(
1245391618782531133827
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
174614683211
/
256000000000
)
≤
-
(
2749058090920340042383
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
174614683211
/
256000000000
)
≤
-
(
6181695398438540011231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
174614683211
/
256000000000
)
≤
-
(
7067937157608990501517
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
174614683211
/
256000000000
)
≤
-
(
1640606385596563904279
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
174614683211
/
256000000000
)
≤
-
(
965926376453343920951
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
174614683211
/
256000000000
)
≤
-
(
724571076822981242243
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
174614683211
/
256000000000
)
≤
-
(
7345605697896120243709
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
174614683211
/
256000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_587_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
174614683211
/
256000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_587
:
Uρ
(
174614683211
/
256000000000
)
≤
-
(
1644602174649657013571
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43705589996379
/
64000000000000
)
≤
-
(
39090009657798394581
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43705589996379
/
64000000000000
)
≤
-
(
394439887737222588027
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43705589996379
/
64000000000000
)
≤
-
(
4015552499438766461231
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43705589996379
/
64000000000000
)
≤
-
(
413479465984879583207
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43705589996379
/
64000000000000
)
≤
-
(
539873510739345538629
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43705589996379
/
64000000000000
)
≤
-
(
573601652664223193247
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43705589996379
/
64000000000000
)
≤
-
(
4968178041979655025511
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43705589996379
/
64000000000000
)
≤
-
(
2741980454591354062683
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43705589996379
/
64000000000000
)
≤
-
(
6166416285021924208357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43705589996379
/
64000000000000
)
≤
-
(
7050979866472832607387
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43705589996379
/
64000000000000
)
≤
-
(
8183456858447127867951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43705589996379
/
64000000000000
)
≤
-
(
1204403490610925670401
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43705589996379
/
64000000000000
)
≤
-
(
11559851808548369618159
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43705589996379
/
64000000000000
)
≤
-
(
1461851957046835182271
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43705589996379
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_588_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43705589996379
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_588
:
Uρ
(
43705589996379
/
64000000000000
)
≤
-
(
6561204984838086247927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5469688648751
/
8000000000000
)
≤
-
(
1948507749324743187031
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5469688648751
/
8000000000000
)
≤
-
(
245773168539214552107
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5469688648751
/
8000000000000
)
≤
-
(
2001718882180630828503
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5469688648751
/
8000000000000
)
≤
-
(
824506551390814758131
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5469688648751
/
8000000000000
)
≤
-
(
4306493497263263020103
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5469688648751
/
8000000000000
)
≤
-
(
4575965519951952109527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5469688648751
/
8000000000000
)
≤
-
(
1238701908887633955801
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5469688648751
/
8000000000000
)
≤
-
(
5469825949513502250433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5469688648751
/
8000000000000
)
≤
-
(
6151161216080942852501
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5469688648751
/
8000000000000
)
≤
-
(
7034053104242121893583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5469688648751
/
8000000000000
)
≤
-
(
4081962433340292229409
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5469688648751
/
8000000000000
)
≤
-
(
1201408064539557201607
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5469688648751
/
8000000000000
)
≤
-
(
11526740094447365904059
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5469688648751
/
8000000000000
)
≤
-
(
1818429225264942628537
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5469688648751
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_589_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5469688648751
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_589
:
Uρ
(
5469688648751
/
8000000000000
)
≤
-
(
818012982659048695281
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43809428383637
/
64000000000000
)
≤
-
(
1942522189783709894671
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43809428383637
/
64000000000000
)
≤
-
(
980089241722220861977
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43809428383637
/
64000000000000
)
≤
-
(
1995668845309871194029
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43809428383637
/
64000000000000
)
≤
-
(
4110285878273273006483
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43809428383637
/
64000000000000
)
≤
-
(
4294014520243379947173
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43809428383637
/
64000000000000
)
≤
-
(
912626870858038316583
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43809428383637
/
64000000000000
)
≤
-
(
4941455207028364076573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43809428383637
/
64000000000000
)
≤
-
(
545571124375522783539
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43809428383637
/
64000000000000
)
≤
-
(
766991264223849596283
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43809428383637
/
64000000000000
)
≤
-
(
3508578377429020554659
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43809428383637
/
64000000000000
)
≤
-
(
8144435743557710104167
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43809428383637
/
64000000000000
)
≤
-
(
2396843256077924959477
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43809428383637
/
64000000000000
)
≤
-
(
5746899876398573163821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43809428383637
/
64000000000000
)
≤
-
(
14477855490426510840571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43809428383637
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_590_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43809428383637
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_590
:
Uρ
(
43809428383637
/
64000000000000
)
≤
-
(
326355036030635433631
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21930673788633
/
32000000000000
)
≤
-
(
3873087574221783174133
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21930673788633
/
32000000000000
)
≤
-
(
3908357653472914841141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21930673788633
/
32000000000000
)
≤
-
(
497406530345597454679
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21930673788633
/
32000000000000
)
≤
-
(
512256748377032037619
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21930673788633
/
32000000000000
)
≤
-
(
2140775557921181468381
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21930673788633
/
32000000000000
)
≤
-
(
4550319681689112793929
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21930673788633
/
32000000000000
)
≤
-
(
4928120707798083417323
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21930673788633
/
32000000000000
)
≤
-
(
272080836654552202981
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21930673788633
/
32000000000000
)
≤
-
(
6120722900714232247101
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21930673788633
/
32000000000000
)
≤
-
(
7000290702954301500691
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21930673788633
/
32000000000000
)
≤
-
(
2031247320397186581489
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21930673788633
/
32000000000000
)
≤
-
(
9563552940403943445557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21930673788633
/
32000000000000
)
≤
-
(
2865257125482834296423
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21930673788633
/
32000000000000
)
≤
-
(
225151496633754432083
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21930673788633
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_591_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21930673788633
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_591
:
Uρ
(
21930673788633
/
32000000000000
)
≤
-
(
1302038278493546697749
/
2000000000000000000000
)