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.
Zeta5Irrational
.
Table
.
U26
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_316_1
Zeta5Irrational
.
U_316_2
Zeta5Irrational
.
U_316_3
Zeta5Irrational
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U_316_4
Zeta5Irrational
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U_316_5
Zeta5Irrational
.
U_316_6
Zeta5Irrational
.
U_316_7
Zeta5Irrational
.
U_316_8
Zeta5Irrational
.
U_316_9
Zeta5Irrational
.
U_316_10
Zeta5Irrational
.
U_316_11
Zeta5Irrational
.
U_316_12
Zeta5Irrational
.
U_316_13
Zeta5Irrational
.
U_316_14
Zeta5Irrational
.
U_316_15
Zeta5Irrational
.
U_316_16
Zeta5Irrational
.
U_316
Zeta5Irrational
.
U_317_1
Zeta5Irrational
.
U_317_2
Zeta5Irrational
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U_317_3
Zeta5Irrational
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U_317_4
Zeta5Irrational
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U_317_5
Zeta5Irrational
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U_317_6
Zeta5Irrational
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U_317_7
Zeta5Irrational
.
U_317_8
Zeta5Irrational
.
U_317_9
Zeta5Irrational
.
U_317_10
Zeta5Irrational
.
U_317_11
Zeta5Irrational
.
U_317_12
Zeta5Irrational
.
U_317_13
Zeta5Irrational
.
U_317_14
Zeta5Irrational
.
U_317_15
Zeta5Irrational
.
U_317_16
Zeta5Irrational
.
U_317
Zeta5Irrational
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U_318_1
Zeta5Irrational
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U_318_2
Zeta5Irrational
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U_318_3
Zeta5Irrational
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U_318_4
Zeta5Irrational
.
U_318_5
Zeta5Irrational
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U_318_6
Zeta5Irrational
.
U_318_7
Zeta5Irrational
.
U_318_8
Zeta5Irrational
.
U_318_9
Zeta5Irrational
.
U_318_10
Zeta5Irrational
.
U_318_11
Zeta5Irrational
.
U_318_12
Zeta5Irrational
.
U_318_13
Zeta5Irrational
.
U_318_14
Zeta5Irrational
.
U_318_15
Zeta5Irrational
.
U_318_16
Zeta5Irrational
.
U_318
Zeta5Irrational
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U_319_1
Zeta5Irrational
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U_319_2
Zeta5Irrational
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U_319_3
Zeta5Irrational
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U_319_4
Zeta5Irrational
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U_319_5
Zeta5Irrational
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U_319_6
Zeta5Irrational
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U_319_7
Zeta5Irrational
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U_319_8
Zeta5Irrational
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U_319_9
Zeta5Irrational
.
U_319_10
Zeta5Irrational
.
U_319_11
Zeta5Irrational
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U_319_12
Zeta5Irrational
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U_319_13
Zeta5Irrational
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U_319_14
Zeta5Irrational
.
U_319_15
Zeta5Irrational
.
U_319_16
Zeta5Irrational
.
U_319
Zeta5Irrational
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U_320_1
Zeta5Irrational
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U_320_2
Zeta5Irrational
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U_320_3
Zeta5Irrational
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U_320_4
Zeta5Irrational
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U_320_5
Zeta5Irrational
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U_320_6
Zeta5Irrational
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U_320_7
Zeta5Irrational
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U_320_8
Zeta5Irrational
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U_320_9
Zeta5Irrational
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U_320_10
Zeta5Irrational
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U_320_11
Zeta5Irrational
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U_320_12
Zeta5Irrational
.
U_320_13
Zeta5Irrational
.
U_320_14
Zeta5Irrational
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U_320_15
Zeta5Irrational
.
U_320_16
Zeta5Irrational
.
U_320
Zeta5Irrational
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U_321_1
Zeta5Irrational
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U_321_2
Zeta5Irrational
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U_321_3
Zeta5Irrational
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U_321_4
Zeta5Irrational
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U_321_5
Zeta5Irrational
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U_321_6
Zeta5Irrational
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U_321_7
Zeta5Irrational
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U_321_8
Zeta5Irrational
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U_321_9
Zeta5Irrational
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U_321_10
Zeta5Irrational
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U_321_11
Zeta5Irrational
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U_321_12
Zeta5Irrational
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U_321_13
Zeta5Irrational
.
U_321_14
Zeta5Irrational
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U_321_15
Zeta5Irrational
.
U_321_16
Zeta5Irrational
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U_321
Zeta5Irrational
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U_322_1
Zeta5Irrational
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U_322_2
Zeta5Irrational
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U_322_3
Zeta5Irrational
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U_322_4
Zeta5Irrational
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U_322_5
Zeta5Irrational
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U_322_6
Zeta5Irrational
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U_322_7
Zeta5Irrational
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U_322_8
Zeta5Irrational
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U_322_9
Zeta5Irrational
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U_322_10
Zeta5Irrational
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U_322_11
Zeta5Irrational
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U_322_12
Zeta5Irrational
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U_322_13
Zeta5Irrational
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U_322_14
Zeta5Irrational
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U_322_15
Zeta5Irrational
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U_322_16
Zeta5Irrational
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U_322
Zeta5Irrational
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U_323_1
Zeta5Irrational
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U_323_2
Zeta5Irrational
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U_323_3
Zeta5Irrational
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U_323_4
Zeta5Irrational
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U_323_5
Zeta5Irrational
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U_323_6
Zeta5Irrational
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U_323_7
Zeta5Irrational
.
U_323_8
Zeta5Irrational
.
U_323_9
Zeta5Irrational
.
U_323_10
Zeta5Irrational
.
U_323_11
Zeta5Irrational
.
U_323_12
Zeta5Irrational
.
U_323_13
Zeta5Irrational
.
U_323_14
Zeta5Irrational
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U_323_15
Zeta5Irrational
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U_323_16
Zeta5Irrational
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U_323
Zeta5Irrational
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U_324_1
Zeta5Irrational
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U_324_2
Zeta5Irrational
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U_324_3
Zeta5Irrational
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U_324_4
Zeta5Irrational
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U_324_5
Zeta5Irrational
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U_324_6
Zeta5Irrational
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U_324_7
Zeta5Irrational
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U_324_8
Zeta5Irrational
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U_324_9
Zeta5Irrational
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U_324_10
Zeta5Irrational
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U_324_11
Zeta5Irrational
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U_324_12
Zeta5Irrational
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U_324_13
Zeta5Irrational
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U_324_14
Zeta5Irrational
.
U_324_15
Zeta5Irrational
.
U_324_16
Zeta5Irrational
.
U_324
Zeta5Irrational
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U_325_1
Zeta5Irrational
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U_325_2
Zeta5Irrational
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U_325_3
Zeta5Irrational
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U_325_4
Zeta5Irrational
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U_325_5
Zeta5Irrational
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U_325_6
Zeta5Irrational
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U_325_7
Zeta5Irrational
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U_325_8
Zeta5Irrational
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U_325_9
Zeta5Irrational
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U_325_10
Zeta5Irrational
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U_325_11
Zeta5Irrational
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U_325_12
Zeta5Irrational
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U_325_13
Zeta5Irrational
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U_325_14
Zeta5Irrational
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U_325_15
Zeta5Irrational
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U_325_16
Zeta5Irrational
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U_325
Zeta5Irrational
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U_326_1
Zeta5Irrational
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U_326_2
Zeta5Irrational
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U_326_3
Zeta5Irrational
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U_326_4
Zeta5Irrational
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U_326_5
Zeta5Irrational
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U_326_6
Zeta5Irrational
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U_326_7
Zeta5Irrational
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U_326_8
Zeta5Irrational
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U_326_9
Zeta5Irrational
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U_326_10
Zeta5Irrational
.
U_326_11
Zeta5Irrational
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U_326_12
Zeta5Irrational
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U_326_13
Zeta5Irrational
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U_326_14
Zeta5Irrational
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U_326_15
Zeta5Irrational
.
U_326_16
Zeta5Irrational
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U_326
Zeta5Irrational
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U_327_1
Zeta5Irrational
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U_327_2
Zeta5Irrational
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U_327_3
Zeta5Irrational
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U_327_4
Zeta5Irrational
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U_327_5
Zeta5Irrational
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U_327_6
Zeta5Irrational
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U_327_7
Zeta5Irrational
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U_327_8
Zeta5Irrational
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U_327_9
Zeta5Irrational
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U_327_10
Zeta5Irrational
.
U_327_11
Zeta5Irrational
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U_327_12
Zeta5Irrational
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U_327_13
Zeta5Irrational
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U_327_14
Zeta5Irrational
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U_327_15
Zeta5Irrational
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U_327_16
Zeta5Irrational
.
U_327
Certified arcsine potential bounds (U26)
#
source
theorem
Zeta5Irrational
.
U_316_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7470559844389
/
25600000000000
)
≤
-
(
313497993542335413487
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7470559844389
/
25600000000000
)
≤
-
(
12624687248934936222979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7470559844389
/
25600000000000
)
≤
-
(
12797043708037897056853
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7470559844389
/
25600000000000
)
≤
-
(
13092092856450291711527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7470559844389
/
25600000000000
)
≤
-
(
13564627096277214139309
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7470559844389
/
25600000000000
)
≤
-
(
14299702482758872198407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7470559844389
/
25600000000000
)
≤
-
(
7722035347185278864809
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7470559844389
/
25600000000000
)
≤
-
(
17321650244358947368713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7470559844389
/
25600000000000
)
≤
-
(
2128541148575158751237
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7470559844389
/
25600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7470559844389
/
25600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7470559844389
/
25600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7470559844389
/
25600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7470559844389
/
25600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7470559844389
/
25600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_316_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7470559844389
/
25600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_316
:
Uρ
(
7470559844389
/
25600000000000
)
≤
-
(
16433043457405759501447
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18715271389599
/
64000000000000
)
≤
-
(
1564832224170227175487
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18715271389599
/
64000000000000
)
≤
-
(
12603242087980496131311
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18715271389599
/
64000000000000
)
≤
-
(
51100874429049288073
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18715271389599
/
64000000000000
)
≤
-
(
653479665454582040087
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18715271389599
/
64000000000000
)
≤
-
(
13540979465010177493251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18715271389599
/
64000000000000
)
≤
-
(
14274081709003551513581
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18715271389599
/
64000000000000
)
≤
-
(
3853706432000757266593
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18715271389599
/
64000000000000
)
≤
-
(
1728438790549203311371
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18715271389599
/
64000000000000
)
≤
-
(
21210927637829035889281
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18715271389599
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18715271389599
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18715271389599
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18715271389599
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18715271389599
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18715271389599
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_317_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18715271389599
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_317
:
Uρ
(
18715271389599
/
64000000000000
)
≤
-
(
1641393523257367651801
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
37508286336451
/
128000000000000
)
≤
-
(
2499488191591324361
/
2000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
37508286336451
/
128000000000000
)
≤
-
(
3145460707552018440057
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
37508286336451
/
128000000000000
)
≤
-
(
797090067591125847769
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
37508286336451
/
128000000000000
)
≤
-
(
652357220802502956437
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
37508286336451
/
128000000000000
)
≤
-
(
13517388069351791248559
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
37508286336451
/
128000000000000
)
≤
-
(
14248527817117285144357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
37508286336451
/
128000000000000
)
≤
-
(
7692835495468796043633
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
37508286336451
/
128000000000000
)
≤
-
(
431182196363598939487
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
37508286336451
/
128000000000000
)
≤
-
(
21137493907044255191037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
37508286336451
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
37508286336451
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
37508286336451
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
37508286336451
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
37508286336451
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
37508286336451
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_318_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
37508286336451
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_318
:
Uρ
(
37508286336451
/
128000000000000
)
≤
-
(
16394957714446851550457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4698253736713
/
16000000000000
)
≤
-
(
2495253808887446669611
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4698253736713
/
16000000000000
)
≤
-
(
2512097855895038717213
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4698253736713
/
16000000000000
)
≤
-
(
12731710923469879778623
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4698253736713
/
16000000000000
)
≤
-
(
3256186487277326469717
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4698253736713
/
16000000000000
)
≤
-
(
421682895011645082857
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4698253736713
/
16000000000000
)
≤
-
(
2844608090322516779093
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4698253736713
/
16000000000000
)
≤
-
(
15356605898681968251623
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4698253736713
/
16000000000000
)
≤
-
(
17210348493441849799951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4698253736713
/
16000000000000
)
≤
-
(
5266267722922526326391
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4698253736713
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4698253736713
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4698253736713
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4698253736713
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4698253736713
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4698253736713
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_319_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4698253736713
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_319
:
Uρ
(
4698253736713
/
16000000000000
)
≤
-
(
2047013394536089855583
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
37663773450957
/
128000000000000
)
≤
-
(
3113785465743511281037
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
37663773450957
/
128000000000000
)
≤
-
(
12539181240894190232013
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
37663773450957
/
128000000000000
)
≤
-
(
198594186367096513121
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
37663773450957
/
128000000000000
)
≤
-
(
13002397681596293197851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
37663773450957
/
128000000000000
)
≤
-
(
2694074582216508070629
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
37663773450957
/
128000000000000
)
≤
-
(
7098809629941692031279
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
37663773450957
/
128000000000000
)
≤
-
(
1532762987265952141441
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
37663773450957
/
128000000000000
)
≤
-
(
8586784124854736362831
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
37663773450957
/
128000000000000
)
≤
-
(
1312101351333463023481
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
37663773450957
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
37663773450957
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
37663773450957
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
37663773450957
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
37663773450957
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
37663773450957
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_320_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
37663773450957
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_320
:
Uρ
(
37663773450957
/
128000000000000
)
≤
-
(
16357380029375922820787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3774151700821
/
12800000000000
)
≤
-
(
12434059224938226750533
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3774151700821
/
12800000000000
)
≤
-
(
12517918520821526742451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3774151700821
/
12800000000000
)
≤
-
(
1268839188906676708531
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3774151700821
/
12800000000000
)
≤
-
(
3245024847091790789197
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3774151700821
/
12800000000000
)
≤
-
(
3361737154102947906173
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3774151700821
/
12800000000000
)
≤
-
(
2834452778434685974403
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3774151700821
/
12800000000000
)
≤
-
(
3059748468025370392999
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3774151700821
/
12800000000000
)
≤
-
(
4284236393973365117899
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3774151700821
/
12800000000000
)
≤
-
(
326923614860068943593
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3774151700821
/
12800000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3774151700821
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3774151700821
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3774151700821
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3774151700821
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3774151700821
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_321_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3774151700821
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_321
:
Uρ
(
3774151700821
/
12800000000000
)
≤
-
(
1021173312797747915237
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
37819260565463
/
128000000000000
)
≤
-
(
496520837715664407951
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
37819260565463
/
128000000000000
)
≤
-
(
124967009268472262333
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
37819260565463
/
128000000000000
)
≤
-
(
253336052101030294349
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
37819260565463
/
128000000000000
)
≤
-
(
6478925422896764806271
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
37819260565463
/
128000000000000
)
≤
-
(
13423579493192682497527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
37819260565463
/
128000000000000
)
≤
-
(
2829394800309022849977
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
37819260565463
/
128000000000000
)
≤
-
(
15269942734092825618979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
37819260565463
/
128000000000000
)
≤
-
(
1710047894900604801367
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
37819260565463
/
128000000000000
)
≤
-
(
20853507377490201335747
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
37819260565463
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
37819260565463
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
37819260565463
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
37819260565463
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
37819260565463
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
37819260565463
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_322_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
37819260565463
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_322
:
Uρ
(
37819260565463
/
128000000000000
)
≤
-
(
16320282936987819977121
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9474251030679
/
32000000000000
)
≤
-
(
3098006707644175633397
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9474251030679
/
32000000000000
)
≤
-
(
12475528267784406772859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9474251030679
/
32000000000000
)
≤
-
(
2529051974725758156739
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9474251030679
/
32000000000000
)
≤
-
(
6467825915874434987103
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9474251030679
/
32000000000000
)
≤
-
(
13400265280141196180749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9474251030679
/
32000000000000
)
≤
-
(
1412174924384875215969
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9474251030679
/
32000000000000
)
≤
-
(
15241230493239060186719
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9474251030679
/
32000000000000
)
≤
-
(
8532083434991892629273
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9474251030679
/
32000000000000
)
≤
-
(
20784778876778594280753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9474251030679
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9474251030679
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9474251030679
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9474251030679
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9474251030679
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9474251030679
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_323_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9474251030679
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_323
:
Uρ
(
9474251030679
/
32000000000000
)
≤
-
(
815095342484062068619
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
37974747679969
/
128000000000000
)
≤
-
(
1546384587863347391307
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
37974747679969
/
128000000000000
)
≤
-
(
12454400353658942523317
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
37974747679969
/
128000000000000
)
≤
-
(
6311881747142055395947
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
37974747679969
/
128000000000000
)
≤
-
(
6456751062797533349511
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
37974747679969
/
128000000000000
)
≤
-
(
1337700571783894728703
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
37974747679969
/
128000000000000
)
≤
-
(
704829463884613062753
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
37974747679969
/
128000000000000
)
≤
-
(
15212605061841808395923
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
37974747679969
/
128000000000000
)
≤
-
(
17028007863161623062419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
37974747679969
/
128000000000000
)
≤
-
(
4143379349202316265587
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
37974747679969
/
128000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
37974747679969
/
128000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
37974747679969
/
128000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
37974747679969
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
37974747679969
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
37974747679969
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_324_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
37974747679969
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_324
:
Uρ
(
37974747679969
/
128000000000000
)
≤
-
(
8141820960763928849147
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19026245618611
/
64000000000000
)
≤
-
(
12350170375956099393281
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19026245618611
/
64000000000000
)
≤
-
(
248666339913984400827
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19026245618611
/
64000000000000
)
≤
-
(
2520462653559380998639
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19026245618611
/
64000000000000
)
≤
-
(
12891401508169105599223
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19026245618611
/
64000000000000
)
≤
-
(
3338450137178833629859
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19026245618611
/
64000000000000
)
≤
-
(
1758936720551409517731
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19026245618611
/
64000000000000
)
≤
-
(
15184065889695235582767
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19026245618611
/
64000000000000
)
≤
-
(
8496000237880936070873
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19026245618611
/
64000000000000
)
≤
-
(
10324916742774442850357
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19026245618611
/
64000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19026245618611
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19026245618611
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19026245618611
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19026245618611
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19026245618611
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_325_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19026245618611
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_325
:
Uρ
(
19026245618611
/
64000000000000
)
≤
-
(
16265485475807527019511
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1525209391779
/
5120000000000
)
≤
-
(
308232691673755184269
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1525209391779
/
5120000000000
)
≤
-
(
775767375395375690883
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1525209391779
/
5120000000000
)
≤
-
(
2516181799245877235259
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1525209391779
/
5120000000000
)
≤
-
(
12869349761769917993087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1525209391779
/
5120000000000
)
≤
-
(
533225980681196273301
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1525209391779
/
5120000000000
)
≤
-
(
3511615592009915733251
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1525209391779
/
5120000000000
)
≤
-
(
473612888501125712317
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1525209391779
/
5120000000000
)
≤
-
(
16956143277397500307727
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1525209391779
/
5120000000000
)
≤
-
(
20583563068231126965171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1525209391779
/
5120000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1525209391779
/
5120000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1525209391779
/
5120000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1525209391779
/
5120000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1525209391779
/
5120000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1525209391779
/
5120000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_326_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1525209391779
/
5120000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_326
:
Uρ
(
1525209391779
/
5120000000000
)
≤
-
(
162474349687928098737
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2387998646983
/
8000000000000
)
≤
-
(
492339535770254087997
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2387998646983
/
8000000000000
)
≤
-
(
12391283199142446414239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2387998646983
/
8000000000000
)
≤
-
(
12559550482915562925899
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2387998646983
/
8000000000000
)
≤
-
(
2569469334029075128739
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2387998646983
/
8000000000000
)
≤
-
(
532302094754197904583
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2387998646983
/
8000000000000
)
≤
-
(
3505373688820111534097
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2387998646983
/
8000000000000
)
≤
-
(
15127244149469302294097
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2387998646983
/
8000000000000
)
≤
-
(
52876358936216522127
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2387998646983
/
8000000000000
)
≤
-
(
4103612166609828334827
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2387998646983
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2387998646983
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2387998646983
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2387998646983
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2387998646983
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2387998646983
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_327_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2387998646983
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_327
:
Uρ
(
2387998646983
/
8000000000000
)
≤
-
(
8114743990152761941807
/
5000000000000000000000
)