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Zeta5Irrational
.
Table
.
U40
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_484_1
Zeta5Irrational
.
U_484_2
Zeta5Irrational
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U_484_3
Zeta5Irrational
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U_484_4
Zeta5Irrational
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U_484_5
Zeta5Irrational
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U_484_6
Zeta5Irrational
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U_484_7
Zeta5Irrational
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U_484_8
Zeta5Irrational
.
U_484_9
Zeta5Irrational
.
U_484_10
Zeta5Irrational
.
U_484_11
Zeta5Irrational
.
U_484_12
Zeta5Irrational
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U_484_13
Zeta5Irrational
.
U_484_14
Zeta5Irrational
.
U_484_15
Zeta5Irrational
.
U_484_16
Zeta5Irrational
.
U_484
Zeta5Irrational
.
U_485_1
Zeta5Irrational
.
U_485_2
Zeta5Irrational
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U_485_3
Zeta5Irrational
.
U_485_4
Zeta5Irrational
.
U_485_5
Zeta5Irrational
.
U_485_6
Zeta5Irrational
.
U_485_7
Zeta5Irrational
.
U_485_8
Zeta5Irrational
.
U_485_9
Zeta5Irrational
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U_485_10
Zeta5Irrational
.
U_485_11
Zeta5Irrational
.
U_485_12
Zeta5Irrational
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U_485_13
Zeta5Irrational
.
U_485_14
Zeta5Irrational
.
U_485_15
Zeta5Irrational
.
U_485_16
Zeta5Irrational
.
U_485
Zeta5Irrational
.
U_486_1
Zeta5Irrational
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U_486_2
Zeta5Irrational
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U_486_3
Zeta5Irrational
.
U_486_4
Zeta5Irrational
.
U_486_5
Zeta5Irrational
.
U_486_6
Zeta5Irrational
.
U_486_7
Zeta5Irrational
.
U_486_8
Zeta5Irrational
.
U_486_9
Zeta5Irrational
.
U_486_10
Zeta5Irrational
.
U_486_11
Zeta5Irrational
.
U_486_12
Zeta5Irrational
.
U_486_13
Zeta5Irrational
.
U_486_14
Zeta5Irrational
.
U_486_15
Zeta5Irrational
.
U_486_16
Zeta5Irrational
.
U_486
Zeta5Irrational
.
U_487_1
Zeta5Irrational
.
U_487_2
Zeta5Irrational
.
U_487_3
Zeta5Irrational
.
U_487_4
Zeta5Irrational
.
U_487_5
Zeta5Irrational
.
U_487_6
Zeta5Irrational
.
U_487_7
Zeta5Irrational
.
U_487_8
Zeta5Irrational
.
U_487_9
Zeta5Irrational
.
U_487_10
Zeta5Irrational
.
U_487_11
Zeta5Irrational
.
U_487_12
Zeta5Irrational
.
U_487_13
Zeta5Irrational
.
U_487_14
Zeta5Irrational
.
U_487_15
Zeta5Irrational
.
U_487_16
Zeta5Irrational
.
U_487
Zeta5Irrational
.
U_488_1
Zeta5Irrational
.
U_488_2
Zeta5Irrational
.
U_488_3
Zeta5Irrational
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U_488_4
Zeta5Irrational
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U_488_5
Zeta5Irrational
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U_488_6
Zeta5Irrational
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U_488_7
Zeta5Irrational
.
U_488_8
Zeta5Irrational
.
U_488_9
Zeta5Irrational
.
U_488_10
Zeta5Irrational
.
U_488_11
Zeta5Irrational
.
U_488_12
Zeta5Irrational
.
U_488_13
Zeta5Irrational
.
U_488_14
Zeta5Irrational
.
U_488_15
Zeta5Irrational
.
U_488_16
Zeta5Irrational
.
U_488
Zeta5Irrational
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U_489_1
Zeta5Irrational
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U_489_2
Zeta5Irrational
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U_489_3
Zeta5Irrational
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U_489_4
Zeta5Irrational
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U_489_5
Zeta5Irrational
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U_489_6
Zeta5Irrational
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U_489_7
Zeta5Irrational
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U_489_8
Zeta5Irrational
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U_489_9
Zeta5Irrational
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U_489_10
Zeta5Irrational
.
U_489_11
Zeta5Irrational
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U_489_12
Zeta5Irrational
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U_489_13
Zeta5Irrational
.
U_489_14
Zeta5Irrational
.
U_489_15
Zeta5Irrational
.
U_489_16
Zeta5Irrational
.
U_489
Zeta5Irrational
.
U_490_1
Zeta5Irrational
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U_490_2
Zeta5Irrational
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U_490_3
Zeta5Irrational
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U_490_4
Zeta5Irrational
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U_490_5
Zeta5Irrational
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U_490_6
Zeta5Irrational
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U_490_7
Zeta5Irrational
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U_490_8
Zeta5Irrational
.
U_490_9
Zeta5Irrational
.
U_490_10
Zeta5Irrational
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U_490_11
Zeta5Irrational
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U_490_12
Zeta5Irrational
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U_490_13
Zeta5Irrational
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U_490_14
Zeta5Irrational
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U_490_15
Zeta5Irrational
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U_490_16
Zeta5Irrational
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U_490
Zeta5Irrational
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U_491_1
Zeta5Irrational
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U_491_2
Zeta5Irrational
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U_491_3
Zeta5Irrational
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U_491_4
Zeta5Irrational
.
U_491_5
Zeta5Irrational
.
U_491_6
Zeta5Irrational
.
U_491_7
Zeta5Irrational
.
U_491_8
Zeta5Irrational
.
U_491_9
Zeta5Irrational
.
U_491_10
Zeta5Irrational
.
U_491_11
Zeta5Irrational
.
U_491_12
Zeta5Irrational
.
U_491_13
Zeta5Irrational
.
U_491_14
Zeta5Irrational
.
U_491_15
Zeta5Irrational
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U_491_16
Zeta5Irrational
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U_491
Zeta5Irrational
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U_492_1
Zeta5Irrational
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U_492_2
Zeta5Irrational
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U_492_3
Zeta5Irrational
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U_492_4
Zeta5Irrational
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U_492_5
Zeta5Irrational
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U_492_6
Zeta5Irrational
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U_492_7
Zeta5Irrational
.
U_492_8
Zeta5Irrational
.
U_492_9
Zeta5Irrational
.
U_492_10
Zeta5Irrational
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U_492_11
Zeta5Irrational
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U_492_12
Zeta5Irrational
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U_492_13
Zeta5Irrational
.
U_492_14
Zeta5Irrational
.
U_492_15
Zeta5Irrational
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U_492_16
Zeta5Irrational
.
U_492
Zeta5Irrational
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U_493_1
Zeta5Irrational
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U_493_2
Zeta5Irrational
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U_493_3
Zeta5Irrational
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U_493_4
Zeta5Irrational
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U_493_5
Zeta5Irrational
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U_493_6
Zeta5Irrational
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U_493_7
Zeta5Irrational
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U_493_8
Zeta5Irrational
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U_493_9
Zeta5Irrational
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U_493_10
Zeta5Irrational
.
U_493_11
Zeta5Irrational
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U_493_12
Zeta5Irrational
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U_493_13
Zeta5Irrational
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U_493_14
Zeta5Irrational
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U_493_15
Zeta5Irrational
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U_493_16
Zeta5Irrational
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U_493
Zeta5Irrational
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U_494_1
Zeta5Irrational
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U_494_2
Zeta5Irrational
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U_494_3
Zeta5Irrational
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U_494_4
Zeta5Irrational
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U_494_5
Zeta5Irrational
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U_494_6
Zeta5Irrational
.
U_494_7
Zeta5Irrational
.
U_494_8
Zeta5Irrational
.
U_494_9
Zeta5Irrational
.
U_494_10
Zeta5Irrational
.
U_494_11
Zeta5Irrational
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U_494_12
Zeta5Irrational
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U_494_13
Zeta5Irrational
.
U_494_14
Zeta5Irrational
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U_494_15
Zeta5Irrational
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U_494_16
Zeta5Irrational
.
U_494
Zeta5Irrational
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U_495_1
Zeta5Irrational
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U_495_2
Zeta5Irrational
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U_495_3
Zeta5Irrational
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U_495_4
Zeta5Irrational
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U_495_5
Zeta5Irrational
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U_495_6
Zeta5Irrational
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U_495_7
Zeta5Irrational
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U_495_8
Zeta5Irrational
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U_495_9
Zeta5Irrational
.
U_495_10
Zeta5Irrational
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U_495_11
Zeta5Irrational
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U_495_12
Zeta5Irrational
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U_495_13
Zeta5Irrational
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U_495_14
Zeta5Irrational
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U_495_15
Zeta5Irrational
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U_495_16
Zeta5Irrational
.
U_495
Certified arcsine potential bounds (U40)
#
source
theorem
Zeta5Irrational
.
U_484_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17216962626667
/
32000000000000
)
≤
-
(
49367704558822225637
/
78125000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17216962626667
/
32000000000000
)
≤
-
(
3182100974805846120097
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17216962626667
/
32000000000000
)
≤
-
(
129102657264926025039
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17216962626667
/
32000000000000
)
≤
-
(
1652035360447789156013
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17216962626667
/
32000000000000
)
≤
-
(
1369217880496384891111
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17216962626667
/
32000000000000
)
≤
-
(
3599191382945151200059
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17216962626667
/
32000000000000
)
≤
-
(
3850961478539558197473
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17216962626667
/
32000000000000
)
≤
-
(
8404279351985589500927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17216962626667
/
32000000000000
)
≤
-
(
4686124003779445722807
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17216962626667
/
32000000000000
)
≤
-
(
10716342206642952717589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17216962626667
/
32000000000000
)
≤
-
(
6340492533616705606711
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17216962626667
/
32000000000000
)
≤
-
(
8171995575870492649569
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17216962626667
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17216962626667
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17216962626667
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_484_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17216962626667
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_484
:
Uρ
(
17216962626667
/
32000000000000
)
≤
-
(
9789045597887444270013
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
68947737388703
/
128000000000000
)
≤
-
(
6307332166479452008709
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
68947737388703
/
128000000000000
)
≤
-
(
6352414503277472699569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
68947737388703
/
128000000000000
)
≤
-
(
644323666027210507003
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
68947737388703
/
128000000000000
)
≤
-
(
1319211758427744412517
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
68947737388703
/
128000000000000
)
≤
-
(
3416853956054903156221
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
68947737388703
/
128000000000000
)
≤
-
(
1437107561212252026653
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
68947737388703
/
128000000000000
)
≤
-
(
7688368136445735574367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
68947737388703
/
128000000000000
)
≤
-
(
4194814386260065118497
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
68947737388703
/
128000000000000
)
≤
-
(
9355844753686533661381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
68947737388703
/
128000000000000
)
≤
-
(
1337111150499449144981
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
68947737388703
/
128000000000000
)
≤
-
(
6327521456465553556581
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
68947737388703
/
128000000000000
)
≤
-
(
407190663593972207153
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
68947737388703
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
68947737388703
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
68947737388703
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_485_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
68947737388703
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_485
:
Uρ
(
68947737388703
/
128000000000000
)
≤
-
(
4886962101695595637819
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
34513812135369
/
64000000000000
)
≤
-
(
786951487770795011317
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
34513812135369
/
64000000000000
)
≤
-
(
792580117002899229761
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
34513812135369
/
64000000000000
)
≤
-
(
6431354596238415003153
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
34513812135369
/
64000000000000
)
≤
-
(
3291995367689427495473
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
34513812135369
/
64000000000000
)
≤
-
(
1705335441222945381761
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
34513812135369
/
64000000000000
)
≤
-
(
1793177352395991703339
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
34513812135369
/
64000000000000
)
≤
-
(
7674831886757274297583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
34513812135369
/
64000000000000
)
≤
-
(
837500021158687506521
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
34513812135369
/
64000000000000
)
≤
-
(
29185843712424599397
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
34513812135369
/
64000000000000
)
≤
-
(
10677479115380574000047
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
34513812135369
/
64000000000000
)
≤
-
(
2525838139806847648551
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
34513812135369
/
64000000000000
)
≤
-
(
16232050823419908826121
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
34513812135369
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
34513812135369
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
34513812135369
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_486_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
34513812135369
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_486
:
Uρ
(
34513812135369
/
64000000000000
)
≤
-
(
1951775897521726186223
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
69107511152773
/
128000000000000
)
≤
-
(
6283905358389822733931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
69107511152773
/
128000000000000
)
≤
-
(
6328881215201098496097
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
69107511152773
/
128000000000000
)
≤
-
(
1604871659391791879599
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
69107511152773
/
128000000000000
)
≤
-
(
3285968618138589291277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
69107511152773
/
128000000000000
)
≤
-
(
6808990922769527856703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
69107511152773
/
128000000000000
)
≤
-
(
7159897533578763198489
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
69107511152773
/
128000000000000
)
≤
-
(
7661314156593136158591
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
69107511152773
/
128000000000000
)
≤
-
(
8360393601371293797627
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
69107511152773
/
128000000000000
)
≤
-
(
932312360618953778177
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
69107511152773
/
128000000000000
)
≤
-
(
10658111730682012403533
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
69107511152773
/
128000000000000
)
≤
-
(
6301713833760821665297
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
69107511152773
/
128000000000000
)
≤
-
(
3235446682644510697477
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
69107511152773
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
69107511152773
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
69107511152773
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_487_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
69107511152773
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_487
:
Uρ
(
69107511152773
/
128000000000000
)
≤
-
(
974390919117488362389
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8648424754351
/
16000000000000
)
≤
-
(
62722125030626558607
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8648424754351
/
16000000000000
)
≤
-
(
1263427061655700437097
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8648424754351
/
16000000000000
)
≤
-
(
6407632750799801970241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8648424754351
/
16000000000000
)
≤
-
(
3279949129863435104927
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8648424754351
/
16000000000000
)
≤
-
(
6796655347826442500329
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8648424754351
/
16000000000000
)
≤
-
(
3573551067666562741491
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8648424754351
/
16000000000000
)
≤
-
(
305912595789937330659
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8648424754351
/
16000000000000
)
≤
-
(
8345808874379213789631
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8648424754351
/
16000000000000
)
≤
-
(
9306805504687874914537
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8648424754351
/
16000000000000
)
≤
-
(
531939342072332120009
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8648424754351
/
16000000000000
)
≤
-
(
1572219133875210761649
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8648424754351
/
16000000000000
)
≤
-
(
16123145677231630302739
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8648424754351
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8648424754351
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8648424754351
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_488_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8648424754351
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_488
:
Uρ
(
8648424754351
/
16000000000000
)
≤
-
(
194580223848825435147
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
69267284916843
/
128000000000000
)
≤
-
(
1252106660842020123547
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
69267284916843
/
128000000000000
)
≤
-
(
6305403182837248309091
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
69267284916843
/
128000000000000
)
≤
-
(
3197896451298350055509
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
69267284916843
/
128000000000000
)
≤
-
(
1636968442687012044419
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
69267284916843
/
128000000000000
)
≤
-
(
1696083750571734394177
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
69267284916843
/
128000000000000
)
≤
-
(
22294759913439966139
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
69267284916843
/
128000000000000
)
≤
-
(
7634334050232765267451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
69267284916843
/
128000000000000
)
≤
-
(
4165622981717381617827
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
69267284916843
/
128000000000000
)
≤
-
(
9290515580424209657449
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
69267284916843
/
128000000000000
)
≤
-
(
10619504240865397292307
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
69267284916843
/
128000000000000
)
≤
-
(
12552166172502945745251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
69267284916843
/
128000000000000
)
≤
-
(
16069760752416665406813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
69267284916843
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
69267284916843
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
69267284916843
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_489_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
69267284916843
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_489
:
Uρ
(
69267284916843
/
128000000000000
)
≤
-
(
1942836699118080219587
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
34673585899439
/
64000000000000
)
≤
-
(
3124433864984652654599
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
34673585899439
/
64000000000000
)
≤
-
(
15734212016432925827
/
25000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
34673585899439
/
64000000000000
)
≤
-
(
797995882467076955683
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
34673585899439
/
64000000000000
)
≤
-
(
6535863734487156375171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
34673585899439
/
64000000000000
)
≤
-
(
3386014924257870962009
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
34673585899439
/
64000000000000
)
≤
-
(
7121560602100884678399
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
34673585899439
/
64000000000000
)
≤
-
(
7620871572269016417851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
34673585899439
/
64000000000000
)
≤
-
(
2079176200419582819051
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
34673585899439
/
64000000000000
)
≤
-
(
4637126865470083261903
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
34673585899439
/
64000000000000
)
≤
-
(
5300131861877623017487
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
34673585899439
/
64000000000000
)
≤
-
(
12526666245270194488077
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
34673585899439
/
64000000000000
)
≤
-
(
16017053398384051458857
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
34673585899439
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
34673585899439
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
34673585899439
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_490_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
34673585899439
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_490
:
Uρ
(
34673585899439
/
64000000000000
)
≤
-
(
2424856055011437979509
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
69427058680913
/
128000000000000
)
≤
-
(
249488629943552077721
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
69427058680913
/
128000000000000
)
≤
-
(
6281980147295564591557
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
69427058680913
/
128000000000000
)
≤
-
(
6372155189116117571223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
69427058680913
/
128000000000000
)
≤
-
(
3261934058108181114563
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
69427058680913
/
128000000000000
)
≤
-
(
1689934962254301555617
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
69427058680913
/
128000000000000
)
≤
-
(
3554407191258538788113
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
69427058680913
/
128000000000000
)
≤
-
(
7607427410292149149329
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
69427058680913
/
128000000000000
)
≤
-
(
4151092661282270086939
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
69427058680913
/
128000000000000
)
≤
-
(
1157252481795129172497
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
69427058680913
/
128000000000000
)
≤
-
(
165329141977207929739
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
69427058680913
/
128000000000000
)
≤
-
(
6250626286282757761457
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
69427058680913
/
128000000000000
)
≤
-
(
1995624982888555183189
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
69427058680913
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
69427058680913
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
69427058680913
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_491_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
69427058680913
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_491
:
Uρ
(
69427058680913
/
128000000000000
)
≤
-
(
484236579550365468117
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17376736390737
/
32000000000000
)
≤
-
(
6225577328427986757589
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17376736390737
/
32000000000000
)
≤
-
(
3135144586463325143691
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17376736390737
/
32000000000000
)
≤
-
(
6360357257749035855581
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17376736390737
/
32000000000000
)
≤
-
(
3255943440666472898293
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17376736390737
/
32000000000000
)
≤
-
(
6747464966434608471673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17376736390737
/
32000000000000
)
≤
-
(
1419216894299342846093
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17376736390737
/
32000000000000
)
≤
-
(
7594001513948014470251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17376736390737
/
32000000000000
)
≤
-
(
2071921864965059653457
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17376736390737
/
32000000000000
)
≤
-
(
9241813849391177808397
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17376736390737
/
32000000000000
)
≤
-
(
2640477031809797859469
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17376736390737
/
32000000000000
)
≤
-
(
2495184889494876055977
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17376736390737
/
32000000000000
)
≤
-
(
1591357776262880250737
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17376736390737
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17376736390737
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17376736390737
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_492_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17376736390737
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_492
:
Uρ
(
17376736390737
/
32000000000000
)
≤
-
(
9670103930970074289523
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
69586832444983
/
128000000000000
)
≤
-
(
1553488109489150942229
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
69586832444983
/
128000000000000
)
≤
-
(
6258611851501049440367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
69586832444983
/
128000000000000
)
≤
-
(
1587143308191476179277
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
69586832444983
/
128000000000000
)
≤
-
(
6499919995358701146053
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
69586832444983
/
128000000000000
)
≤
-
(
1683801290887367162087
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
69586832444983
/
128000000000000
)
≤
-
(
7083370827149970993019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
69586832444983
/
128000000000000
)
≤
-
(
3790296916546084192099
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
69586832444983
/
128000000000000
)
≤
-
(
8273211147642510212537
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
69586832444983
/
128000000000000
)
≤
-
(
115320445191368720493
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
69586832444983
/
128000000000000
)
≤
-
(
10542792645437616091663
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
69586832444983
/
128000000000000
)
≤
-
(
778167573294784877017
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
69586832444983
/
128000000000000
)
≤
-
(
15862765972973506168137
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
69586832444983
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
69586832444983
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
69586832444983
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_493_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
69586832444983
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_493
:
Uρ
(
69586832444983
/
128000000000000
)
≤
-
(
1931107930420668247501
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
34833359663509
/
64000000000000
)
≤
-
(
1240468209150847565031
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
34833359663509
/
64000000000000
)
≤
-
(
1561737037791314671991
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
34833359663509
/
64000000000000
)
≤
-
(
792100385176676737587
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
34833359663509
/
64000000000000
)
≤
-
(
3243983711969671616221
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
34833359663509
/
64000000000000
)
≤
-
(
1344592080656173711347
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
34833359663509
/
64000000000000
)
≤
-
(
1767668351937252963239
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
34833359663509
/
64000000000000
)
≤
-
(
3783602158894347139321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
34833359663509
/
64000000000000
)
≤
-
(
412937816014834911931
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
34833359663509
/
64000000000000
)
≤
-
(
920948505196492789883
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
34833359663509
/
64000000000000
)
≤
-
(
10523718442281250153947
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
34833359663509
/
64000000000000
)
≤
-
(
12425522060461687284879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
34833359663509
/
64000000000000
)
≤
-
(
7906272266414078093663
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
34833359663509
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
34833359663509
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
34833359663509
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_494_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
34833359663509
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_494
:
Uρ
(
34833359663509
/
64000000000000
)
≤
-
(
9641037249386160701971
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
69746606209053
/
128000000000000
)
≤
-
(
123814862410195933307
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
69746606209053
/
128000000000000
)
≤
-
(
3117649020088563942417
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
69746606209053
/
128000000000000
)
≤
-
(
6325046771053860354781
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
69746606209053
/
128000000000000
)
≤
-
(
1619007283210977189607
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
69746606209053
/
128000000000000
)
≤
-
(
6710730648684770959207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
69746606209053
/
128000000000000
)
≤
-
(
1764498042931787618447
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
69746606209053
/
128000000000000
)
≤
-
(
1888458229577260486051
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
69746606209053
/
128000000000000
)
≤
-
(
4122161456257221488253
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
69746606209053
/
128000000000000
)
≤
-
(
9193362059771989769797
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
69746606209053
/
128000000000000
)
≤
-
(
5252342660226903689753
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
69746606209053
/
128000000000000
)
≤
-
(
2480089286429880528157
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
69746606209053
/
128000000000000
)
≤
-
(
3152578911133758865109
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
69746606209053
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
69746606209053
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
69746606209053
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_495_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
69746606209053
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_495
:
Uρ
(
69746606209053
/
128000000000000
)
≤
-
(
9626595294409110944959
/
10000000000000000000000
)