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.
Zeta5Irrational
.
Table
.
U23
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_280_1
Zeta5Irrational
.
U_280_2
Zeta5Irrational
.
U_280_3
Zeta5Irrational
.
U_280_4
Zeta5Irrational
.
U_280_5
Zeta5Irrational
.
U_280_6
Zeta5Irrational
.
U_280_7
Zeta5Irrational
.
U_280_8
Zeta5Irrational
.
U_280_9
Zeta5Irrational
.
U_280_10
Zeta5Irrational
.
U_280_11
Zeta5Irrational
.
U_280_12
Zeta5Irrational
.
U_280_13
Zeta5Irrational
.
U_280_14
Zeta5Irrational
.
U_280_15
Zeta5Irrational
.
U_280_16
Zeta5Irrational
.
U_280
Zeta5Irrational
.
U_281_1
Zeta5Irrational
.
U_281_2
Zeta5Irrational
.
U_281_3
Zeta5Irrational
.
U_281_4
Zeta5Irrational
.
U_281_5
Zeta5Irrational
.
U_281_6
Zeta5Irrational
.
U_281_7
Zeta5Irrational
.
U_281_8
Zeta5Irrational
.
U_281_9
Zeta5Irrational
.
U_281_10
Zeta5Irrational
.
U_281_11
Zeta5Irrational
.
U_281_12
Zeta5Irrational
.
U_281_13
Zeta5Irrational
.
U_281_14
Zeta5Irrational
.
U_281_15
Zeta5Irrational
.
U_281_16
Zeta5Irrational
.
U_281
Zeta5Irrational
.
U_282_1
Zeta5Irrational
.
U_282_2
Zeta5Irrational
.
U_282_3
Zeta5Irrational
.
U_282_4
Zeta5Irrational
.
U_282_5
Zeta5Irrational
.
U_282_6
Zeta5Irrational
.
U_282_7
Zeta5Irrational
.
U_282_8
Zeta5Irrational
.
U_282_9
Zeta5Irrational
.
U_282_10
Zeta5Irrational
.
U_282_11
Zeta5Irrational
.
U_282_12
Zeta5Irrational
.
U_282_13
Zeta5Irrational
.
U_282_14
Zeta5Irrational
.
U_282_15
Zeta5Irrational
.
U_282_16
Zeta5Irrational
.
U_282
Zeta5Irrational
.
U_283_1
Zeta5Irrational
.
U_283_2
Zeta5Irrational
.
U_283_3
Zeta5Irrational
.
U_283_4
Zeta5Irrational
.
U_283_5
Zeta5Irrational
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U_283_6
Zeta5Irrational
.
U_283_7
Zeta5Irrational
.
U_283_8
Zeta5Irrational
.
U_283_9
Zeta5Irrational
.
U_283_10
Zeta5Irrational
.
U_283_11
Zeta5Irrational
.
U_283_12
Zeta5Irrational
.
U_283_13
Zeta5Irrational
.
U_283_14
Zeta5Irrational
.
U_283_15
Zeta5Irrational
.
U_283_16
Zeta5Irrational
.
U_283
Zeta5Irrational
.
U_284_1
Zeta5Irrational
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U_284_2
Zeta5Irrational
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U_284_3
Zeta5Irrational
.
U_284_4
Zeta5Irrational
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U_284_5
Zeta5Irrational
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U_284_6
Zeta5Irrational
.
U_284_7
Zeta5Irrational
.
U_284_8
Zeta5Irrational
.
U_284_9
Zeta5Irrational
.
U_284_10
Zeta5Irrational
.
U_284_11
Zeta5Irrational
.
U_284_12
Zeta5Irrational
.
U_284_13
Zeta5Irrational
.
U_284_14
Zeta5Irrational
.
U_284_15
Zeta5Irrational
.
U_284_16
Zeta5Irrational
.
U_284
Zeta5Irrational
.
U_285_1
Zeta5Irrational
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U_285_2
Zeta5Irrational
.
U_285_3
Zeta5Irrational
.
U_285_4
Zeta5Irrational
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U_285_5
Zeta5Irrational
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U_285_6
Zeta5Irrational
.
U_285_7
Zeta5Irrational
.
U_285_8
Zeta5Irrational
.
U_285_9
Zeta5Irrational
.
U_285_10
Zeta5Irrational
.
U_285_11
Zeta5Irrational
.
U_285_12
Zeta5Irrational
.
U_285_13
Zeta5Irrational
.
U_285_14
Zeta5Irrational
.
U_285_15
Zeta5Irrational
.
U_285_16
Zeta5Irrational
.
U_285
Zeta5Irrational
.
U_286_1
Zeta5Irrational
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U_286_2
Zeta5Irrational
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U_286_3
Zeta5Irrational
.
U_286_4
Zeta5Irrational
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U_286_5
Zeta5Irrational
.
U_286_6
Zeta5Irrational
.
U_286_7
Zeta5Irrational
.
U_286_8
Zeta5Irrational
.
U_286_9
Zeta5Irrational
.
U_286_10
Zeta5Irrational
.
U_286_11
Zeta5Irrational
.
U_286_12
Zeta5Irrational
.
U_286_13
Zeta5Irrational
.
U_286_14
Zeta5Irrational
.
U_286_15
Zeta5Irrational
.
U_286_16
Zeta5Irrational
.
U_286
Zeta5Irrational
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U_287_1
Zeta5Irrational
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U_287_2
Zeta5Irrational
.
U_287_3
Zeta5Irrational
.
U_287_4
Zeta5Irrational
.
U_287_5
Zeta5Irrational
.
U_287_6
Zeta5Irrational
.
U_287_7
Zeta5Irrational
.
U_287_8
Zeta5Irrational
.
U_287_9
Zeta5Irrational
.
U_287_10
Zeta5Irrational
.
U_287_11
Zeta5Irrational
.
U_287_12
Zeta5Irrational
.
U_287_13
Zeta5Irrational
.
U_287_14
Zeta5Irrational
.
U_287_15
Zeta5Irrational
.
U_287_16
Zeta5Irrational
.
U_287
Zeta5Irrational
.
U_288_1
Zeta5Irrational
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U_288_2
Zeta5Irrational
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U_288_3
Zeta5Irrational
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U_288_4
Zeta5Irrational
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U_288_5
Zeta5Irrational
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U_288_6
Zeta5Irrational
.
U_288_7
Zeta5Irrational
.
U_288_8
Zeta5Irrational
.
U_288_9
Zeta5Irrational
.
U_288_10
Zeta5Irrational
.
U_288_11
Zeta5Irrational
.
U_288_12
Zeta5Irrational
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U_288_13
Zeta5Irrational
.
U_288_14
Zeta5Irrational
.
U_288_15
Zeta5Irrational
.
U_288_16
Zeta5Irrational
.
U_288
Zeta5Irrational
.
U_289_1
Zeta5Irrational
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U_289_2
Zeta5Irrational
.
U_289_3
Zeta5Irrational
.
U_289_4
Zeta5Irrational
.
U_289_5
Zeta5Irrational
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U_289_6
Zeta5Irrational
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U_289_7
Zeta5Irrational
.
U_289_8
Zeta5Irrational
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U_289_9
Zeta5Irrational
.
U_289_10
Zeta5Irrational
.
U_289_11
Zeta5Irrational
.
U_289_12
Zeta5Irrational
.
U_289_13
Zeta5Irrational
.
U_289_14
Zeta5Irrational
.
U_289_15
Zeta5Irrational
.
U_289_16
Zeta5Irrational
.
U_289
Zeta5Irrational
.
U_290_1
Zeta5Irrational
.
U_290_2
Zeta5Irrational
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U_290_3
Zeta5Irrational
.
U_290_4
Zeta5Irrational
.
U_290_5
Zeta5Irrational
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U_290_6
Zeta5Irrational
.
U_290_7
Zeta5Irrational
.
U_290_8
Zeta5Irrational
.
U_290_9
Zeta5Irrational
.
U_290_10
Zeta5Irrational
.
U_290_11
Zeta5Irrational
.
U_290_12
Zeta5Irrational
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U_290_13
Zeta5Irrational
.
U_290_14
Zeta5Irrational
.
U_290_15
Zeta5Irrational
.
U_290_16
Zeta5Irrational
.
U_290
Zeta5Irrational
.
U_291_1
Zeta5Irrational
.
U_291_2
Zeta5Irrational
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U_291_3
Zeta5Irrational
.
U_291_4
Zeta5Irrational
.
U_291_5
Zeta5Irrational
.
U_291_6
Zeta5Irrational
.
U_291_7
Zeta5Irrational
.
U_291_8
Zeta5Irrational
.
U_291_9
Zeta5Irrational
.
U_291_10
Zeta5Irrational
.
U_291_11
Zeta5Irrational
.
U_291_12
Zeta5Irrational
.
U_291_13
Zeta5Irrational
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U_291_14
Zeta5Irrational
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U_291_15
Zeta5Irrational
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U_291_16
Zeta5Irrational
.
U_291
Certified arcsine potential bounds (U23)
#
source
theorem
Zeta5Irrational
.
U_280_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7424867802851
/
32000000000000
)
≤
-
(
595649490681648873547
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7424867802851
/
32000000000000
)
≤
-
(
14998978531214893129037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7424867802851
/
32000000000000
)
≤
-
(
3804810672586354525097
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7424867802851
/
32000000000000
)
≤
-
(
15600250780916396574767
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7424867802851
/
32000000000000
)
≤
-
(
16221992242274015104961
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7424867802851
/
32000000000000
)
≤
-
(
17223054302843945077151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7424867802851
/
32000000000000
)
≤
-
(
3779062541338344784579
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7424867802851
/
32000000000000
)
≤
-
(
11127371186098035850237
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7424867802851
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7424867802851
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7424867802851
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7424867802851
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7424867802851
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7424867802851
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7424867802851
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_280_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7424867802851
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_280
:
Uρ
(
7424867802851
/
32000000000000
)
≤
-
(
18424120970672703313979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3729493959969
/
16000000000000
)
≤
-
(
14844077893084188706087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3729493959969
/
16000000000000
)
≤
-
(
7475650471701528025081
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3729493959969
/
16000000000000
)
≤
-
(
15170478598639876278171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3729493959969
/
16000000000000
)
≤
-
(
3109903348603568808439
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3729493959969
/
16000000000000
)
≤
-
(
16167772839817462190979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3729493959969
/
16000000000000
)
≤
-
(
858119665204360662129
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3729493959969
/
16000000000000
)
≤
-
(
3764166476338037308167
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3729493959969
/
16000000000000
)
≤
-
(
885200539449577683937
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3729493959969
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3729493959969
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3729493959969
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3729493959969
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3729493959969
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3729493959969
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3729493959969
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_281_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3729493959969
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_281
:
Uρ
(
3729493959969
/
16000000000000
)
≤
-
(
18391299973504200398809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
299724321481
/
1280000000000
)
≤
-
(
1849642486269237145517
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
299724321481
/
1280000000000
)
≤
-
(
14903849687665541604669
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
299724321481
/
1280000000000
)
≤
-
(
3024390301891908800277
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
299724321481
/
1280000000000
)
≤
-
(
193738000068022755659
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
299724321481
/
1280000000000
)
≤
-
(
402846244571714183917
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
299724321481
/
1280000000000
)
≤
-
(
17102112138147452632809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
299724321481
/
1280000000000
)
≤
-
(
1171685462072131543447
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
299724321481
/
1280000000000
)
≤
-
(
11003813586334001811501
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
299724321481
/
1280000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
299724321481
/
1280000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
299724321481
/
1280000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
299724321481
/
1280000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
299724321481
/
1280000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
299724321481
/
1280000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
299724321481
/
1280000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_282_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
299724321481
/
1280000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_282
:
Uρ
(
299724321481
/
1280000000000
)
≤
-
(
18358822832970896564511
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
29403234977
/
125000000000
)
≤
-
(
14750421189550824741283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
29403234977
/
125000000000
)
≤
-
(
7428311312201253933377
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
29403234977
/
125000000000
)
≤
-
(
7536829563360700704481
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
29403234977
/
125000000000
)
≤
-
(
1931102244940006175991
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
29403234977
/
125000000000
)
≤
-
(
16060219807321465949653
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
29403234977
/
125000000000
)
≤
-
(
8521102954091416726939
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
29403234977
/
125000000000
)
≤
-
(
18673706669854913901521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
29403234977
/
125000000000
)
≤
-
(
21887473556177965593987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
29403234977
/
125000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
29403234977
/
125000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
29403234977
/
125000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
29403234977
/
125000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
29403234977
/
125000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
29403234977
/
125000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
29403234977
/
125000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_283_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
29403234977
/
125000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_283
:
Uρ
(
29403234977
/
125000000000
)
≤
-
(
3665335590052395257373
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7561348271199
/
32000000000000
)
≤
-
(
2940783950288045734059
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7561348271199
/
32000000000000
)
≤
-
(
7404808822111749557067
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7561348271199
/
32000000000000
)
≤
-
(
15025599187597887615541
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7561348271199
/
32000000000000
)
≤
-
(
15398848036234854074413
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7561348271199
/
32000000000000
)
≤
-
(
3201375940674537947543
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7561348271199
/
32000000000000
)
≤
-
(
16982669814435490042889
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7561348271199
/
32000000000000
)
≤
-
(
18601039457942155663267
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7561348271199
/
32000000000000
)
≤
-
(
5442362793886692937687
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7561348271199
/
32000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7561348271199
/
32000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7561348271199
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7561348271199
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7561348271199
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7561348271199
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7561348271199
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_284_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7561348271199
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_284
:
Uρ
(
7561348271199
/
32000000000000
)
≤
-
(
9147427256802812168183
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3797734194143
/
16000000000000
)
≤
-
(
3664408391079400055809
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3797734194143
/
16000000000000
)
≤
-
(
461338520855661178501
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3797734194143
/
16000000000000
)
≤
-
(
14977769461876843290263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3797734194143
/
16000000000000
)
≤
-
(
7674563852708070316761
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3797734194143
/
16000000000000
)
≤
-
(
3190765262861868759431
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3797734194143
/
16000000000000
)
≤
-
(
8461749575806555752881
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3797734194143
/
16000000000000
)
≤
-
(
18528955308340390514393
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3797734194143
/
16000000000000
)
≤
-
(
21653466102551587295531
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3797734194143
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3797734194143
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3797734194143
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3797734194143
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3797734194143
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3797734194143
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3797734194143
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_285_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3797734194143
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_285
:
Uρ
(
3797734194143
/
16000000000000
)
≤
-
(
18263342418928709501953
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
383185431123
/
1600000000000
)
≤
-
(
728284951777396434499
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
383185431123
/
1600000000000
)
≤
-
(
14669914549627046428131
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
383185431123
/
1600000000000
)
≤
-
(
1488279188913710560159
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
383185431123
/
1600000000000
)
≤
-
(
7625212945029603857267
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
383185431123
/
1600000000000
)
≤
-
(
1981070914050747589499
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
383185431123
/
1600000000000
)
≤
-
(
16806235754814884325851
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
383185431123
/
1600000000000
)
≤
-
(
18386495852461762688133
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
383185431123
/
1600000000000
)
≤
-
(
2678408166937960326061
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
383185431123
/
1600000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
383185431123
/
1600000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
383185431123
/
1600000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
383185431123
/
1600000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
383185431123
/
1600000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
383185431123
/
1600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
383185431123
/
1600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_286_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
383185431123
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_286
:
Uρ
(
383185431123
/
1600000000000
)
≤
-
(
3640242994400076007859
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3865974428317
/
16000000000000
)
≤
-
(
7237301029131155242153
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3865974428317
/
16000000000000
)
≤
-
(
3644463051331309478819
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3865974428317
/
16000000000000
)
≤
-
(
2957741839148582854709
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3865974428317
/
16000000000000
)
≤
-
(
378817325494630744883
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3865974428317
/
16000000000000
)
≤
-
(
3936104641443346695053
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3865974428317
/
16000000000000
)
≤
-
(
8345189935393049647993
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3865974428317
/
16000000000000
)
≤
-
(
18246250365212857194421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3865974428317
/
16000000000000
)
≤
-
(
1060412185914542412997
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3865974428317
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3865974428317
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3865974428317
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3865974428317
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3865974428317
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3865974428317
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3865974428317
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_287_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3865974428317
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_287
:
Uρ
(
3865974428317
/
16000000000000
)
≤
-
(
9070113256560938488283
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
975023636351
/
4000000000000
)
≤
-
(
7192163754279661846917
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
975023636351
/
4000000000000
)
≤
-
(
7243315004429613191293
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
975023636351
/
4000000000000
)
≤
-
(
14695504652313017170091
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
975023636351
/
4000000000000
)
≤
-
(
15055910174395545613739
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
975023636351
/
4000000000000
)
≤
-
(
7820678307979677280879
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
975023636351
/
4000000000000
)
≤
-
(
8287948505380436413979
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
975023636351
/
4000000000000
)
≤
-
(
2263518134952506017373
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
975023636351
/
4000000000000
)
≤
-
(
5248963545902056685773
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
975023636351
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
975023636351
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
975023636351
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
975023636351
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
975023636351
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
975023636351
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
975023636351
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_288_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
975023636351
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_288
:
Uρ
(
975023636351
/
4000000000000
)
≤
-
(
1130019727831504586083
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3934214662491
/
16000000000000
)
≤
-
(
2858972133708537061617
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3934214662491
/
16000000000000
)
≤
-
(
3599058189717142384657
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3934214662491
/
16000000000000
)
≤
-
(
7301580997444027247323
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3934214662491
/
16000000000000
)
≤
-
(
1496005898479066858877
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3934214662491
/
16000000000000
)
≤
-
(
3884839687161393204871
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3934214662491
/
16000000000000
)
≤
-
(
16462753974742707140679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3934214662491
/
16000000000000
)
≤
-
(
17972110093080970712811
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3934214662491
/
16000000000000
)
≤
-
(
519740407477164840823
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3934214662491
/
16000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3934214662491
/
16000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3934214662491
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3934214662491
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3934214662491
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3934214662491
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3934214662491
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_289_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3934214662491
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_289
:
Uρ
(
3934214662491
/
16000000000000
)
≤
-
(
1126339213224684761437
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1984167389789
/
8000000000000
)
≤
-
(
14206187211916833637463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1984167389789
/
8000000000000
)
≤
-
(
14306645663022064867043
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1984167389789
/
8000000000000
)
≤
-
(
1813958175975205347013
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1984167389789
/
8000000000000
)
≤
-
(
92907010073051215021
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1984167389789
/
8000000000000
)
≤
-
(
15438402962172249138387
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1984167389789
/
8000000000000
)
≤
-
(
4087729696628356463639
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1984167389789
/
8000000000000
)
≤
-
(
1783807909004666494059
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1984167389789
/
8000000000000
)
≤
-
(
1286819084048231859999
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1984167389789
/
8000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1984167389789
/
8000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1984167389789
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1984167389789
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1984167389789
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1984167389789
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1984167389789
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_290_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1984167389789
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_290
:
Uρ
(
1984167389789
/
8000000000000
)
≤
-
(
8981756148083042841929
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
504571876719
/
2000000000000
)
≤
-
(
3507791254907928832507
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
504571876719
/
2000000000000
)
≤
-
(
7064922361463546649243
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
504571876719
/
2000000000000
)
≤
-
(
14331149326100729740711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
504571876719
/
2000000000000
)
≤
-
(
14677919486345039845707
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
504571876719
/
2000000000000
)
≤
-
(
3047906602216523433211
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
504571876719
/
2000000000000
)
≤
-
(
2016381225759584278767
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
504571876719
/
2000000000000
)
≤
-
(
8787890108594326096779
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
504571876719
/
2000000000000
)
≤
-
(
20203793397973935609921
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
504571876719
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
504571876719
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
504571876719
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
504571876719
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
504571876719
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
504571876719
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
504571876719
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_291_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
504571876719
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_291
:
Uρ
(
504571876719
/
2000000000000
)
≤
-
(
8925212957824183781139
/
5000000000000000000000
)