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.
Zeta5Irrational
.
Table
.
U41
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_496_1
Zeta5Irrational
.
U_496_2
Zeta5Irrational
.
U_496_3
Zeta5Irrational
.
U_496_4
Zeta5Irrational
.
U_496_5
Zeta5Irrational
.
U_496_6
Zeta5Irrational
.
U_496_7
Zeta5Irrational
.
U_496_8
Zeta5Irrational
.
U_496_9
Zeta5Irrational
.
U_496_10
Zeta5Irrational
.
U_496_11
Zeta5Irrational
.
U_496_12
Zeta5Irrational
.
U_496_13
Zeta5Irrational
.
U_496_14
Zeta5Irrational
.
U_496_15
Zeta5Irrational
.
U_496_16
Zeta5Irrational
.
U_496
Zeta5Irrational
.
U_497_1
Zeta5Irrational
.
U_497_2
Zeta5Irrational
.
U_497_3
Zeta5Irrational
.
U_497_4
Zeta5Irrational
.
U_497_5
Zeta5Irrational
.
U_497_6
Zeta5Irrational
.
U_497_7
Zeta5Irrational
.
U_497_8
Zeta5Irrational
.
U_497_9
Zeta5Irrational
.
U_497_10
Zeta5Irrational
.
U_497_11
Zeta5Irrational
.
U_497_12
Zeta5Irrational
.
U_497_13
Zeta5Irrational
.
U_497_14
Zeta5Irrational
.
U_497_15
Zeta5Irrational
.
U_497_16
Zeta5Irrational
.
U_497
Zeta5Irrational
.
U_498_1
Zeta5Irrational
.
U_498_2
Zeta5Irrational
.
U_498_3
Zeta5Irrational
.
U_498_4
Zeta5Irrational
.
U_498_5
Zeta5Irrational
.
U_498_6
Zeta5Irrational
.
U_498_7
Zeta5Irrational
.
U_498_8
Zeta5Irrational
.
U_498_9
Zeta5Irrational
.
U_498_10
Zeta5Irrational
.
U_498_11
Zeta5Irrational
.
U_498_12
Zeta5Irrational
.
U_498_13
Zeta5Irrational
.
U_498_14
Zeta5Irrational
.
U_498_15
Zeta5Irrational
.
U_498_16
Zeta5Irrational
.
U_498
Zeta5Irrational
.
U_499_1
Zeta5Irrational
.
U_499_2
Zeta5Irrational
.
U_499_3
Zeta5Irrational
.
U_499_4
Zeta5Irrational
.
U_499_5
Zeta5Irrational
.
U_499_6
Zeta5Irrational
.
U_499_7
Zeta5Irrational
.
U_499_8
Zeta5Irrational
.
U_499_9
Zeta5Irrational
.
U_499_10
Zeta5Irrational
.
U_499_11
Zeta5Irrational
.
U_499_12
Zeta5Irrational
.
U_499_13
Zeta5Irrational
.
U_499_14
Zeta5Irrational
.
U_499_15
Zeta5Irrational
.
U_499_16
Zeta5Irrational
.
U_499
Zeta5Irrational
.
U_500_1
Zeta5Irrational
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U_500_2
Zeta5Irrational
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U_500_3
Zeta5Irrational
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U_500_4
Zeta5Irrational
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U_500_5
Zeta5Irrational
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U_500_6
Zeta5Irrational
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U_500_7
Zeta5Irrational
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U_500_8
Zeta5Irrational
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U_500_9
Zeta5Irrational
.
U_500_10
Zeta5Irrational
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U_500_11
Zeta5Irrational
.
U_500_12
Zeta5Irrational
.
U_500_13
Zeta5Irrational
.
U_500_14
Zeta5Irrational
.
U_500_15
Zeta5Irrational
.
U_500_16
Zeta5Irrational
.
U_500
Zeta5Irrational
.
U_501_1
Zeta5Irrational
.
U_501_2
Zeta5Irrational
.
U_501_3
Zeta5Irrational
.
U_501_4
Zeta5Irrational
.
U_501_5
Zeta5Irrational
.
U_501_6
Zeta5Irrational
.
U_501_7
Zeta5Irrational
.
U_501_8
Zeta5Irrational
.
U_501_9
Zeta5Irrational
.
U_501_10
Zeta5Irrational
.
U_501_11
Zeta5Irrational
.
U_501_12
Zeta5Irrational
.
U_501_13
Zeta5Irrational
.
U_501_14
Zeta5Irrational
.
U_501_15
Zeta5Irrational
.
U_501_16
Zeta5Irrational
.
U_501
Zeta5Irrational
.
U_502_1
Zeta5Irrational
.
U_502_2
Zeta5Irrational
.
U_502_3
Zeta5Irrational
.
U_502_4
Zeta5Irrational
.
U_502_5
Zeta5Irrational
.
U_502_6
Zeta5Irrational
.
U_502_7
Zeta5Irrational
.
U_502_8
Zeta5Irrational
.
U_502_9
Zeta5Irrational
.
U_502_10
Zeta5Irrational
.
U_502_11
Zeta5Irrational
.
U_502_12
Zeta5Irrational
.
U_502_13
Zeta5Irrational
.
U_502_14
Zeta5Irrational
.
U_502_15
Zeta5Irrational
.
U_502_16
Zeta5Irrational
.
U_502
Zeta5Irrational
.
U_503_1
Zeta5Irrational
.
U_503_2
Zeta5Irrational
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U_503_3
Zeta5Irrational
.
U_503_4
Zeta5Irrational
.
U_503_5
Zeta5Irrational
.
U_503_6
Zeta5Irrational
.
U_503_7
Zeta5Irrational
.
U_503_8
Zeta5Irrational
.
U_503_9
Zeta5Irrational
.
U_503_10
Zeta5Irrational
.
U_503_11
Zeta5Irrational
.
U_503_12
Zeta5Irrational
.
U_503_13
Zeta5Irrational
.
U_503_14
Zeta5Irrational
.
U_503_15
Zeta5Irrational
.
U_503_16
Zeta5Irrational
.
U_503
Zeta5Irrational
.
U_504_1
Zeta5Irrational
.
U_504_2
Zeta5Irrational
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U_504_3
Zeta5Irrational
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U_504_4
Zeta5Irrational
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U_504_5
Zeta5Irrational
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U_504_6
Zeta5Irrational
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U_504_7
Zeta5Irrational
.
U_504_8
Zeta5Irrational
.
U_504_9
Zeta5Irrational
.
U_504_10
Zeta5Irrational
.
U_504_11
Zeta5Irrational
.
U_504_12
Zeta5Irrational
.
U_504_13
Zeta5Irrational
.
U_504_14
Zeta5Irrational
.
U_504_15
Zeta5Irrational
.
U_504_16
Zeta5Irrational
.
U_504
Zeta5Irrational
.
U_505_1
Zeta5Irrational
.
U_505_2
Zeta5Irrational
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U_505_3
Zeta5Irrational
.
U_505_4
Zeta5Irrational
.
U_505_5
Zeta5Irrational
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U_505_6
Zeta5Irrational
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U_505_7
Zeta5Irrational
.
U_505_8
Zeta5Irrational
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U_505_9
Zeta5Irrational
.
U_505_10
Zeta5Irrational
.
U_505_11
Zeta5Irrational
.
U_505_12
Zeta5Irrational
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U_505_13
Zeta5Irrational
.
U_505_14
Zeta5Irrational
.
U_505_15
Zeta5Irrational
.
U_505_16
Zeta5Irrational
.
U_505
Zeta5Irrational
.
U_506_1
Zeta5Irrational
.
U_506_2
Zeta5Irrational
.
U_506_3
Zeta5Irrational
.
U_506_4
Zeta5Irrational
.
U_506_5
Zeta5Irrational
.
U_506_6
Zeta5Irrational
.
U_506_7
Zeta5Irrational
.
U_506_8
Zeta5Irrational
.
U_506_9
Zeta5Irrational
.
U_506_10
Zeta5Irrational
.
U_506_11
Zeta5Irrational
.
U_506_12
Zeta5Irrational
.
U_506_13
Zeta5Irrational
.
U_506_14
Zeta5Irrational
.
U_506_15
Zeta5Irrational
.
U_506_16
Zeta5Irrational
.
U_506
Zeta5Irrational
.
U_507_1
Zeta5Irrational
.
U_507_2
Zeta5Irrational
.
U_507_3
Zeta5Irrational
.
U_507_4
Zeta5Irrational
.
U_507_5
Zeta5Irrational
.
U_507_6
Zeta5Irrational
.
U_507_7
Zeta5Irrational
.
U_507_8
Zeta5Irrational
.
U_507_9
Zeta5Irrational
.
U_507_10
Zeta5Irrational
.
U_507_11
Zeta5Irrational
.
U_507_12
Zeta5Irrational
.
U_507_13
Zeta5Irrational
.
U_507_14
Zeta5Irrational
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U_507_15
Zeta5Irrational
.
U_507_16
Zeta5Irrational
.
U_507
Certified arcsine potential bounds (U41)
#
source
theorem
Zeta5Irrational
.
U_496_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4364155818193
/
8000000000000
)
≤
-
(
6179158631021010828439
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4364155818193
/
8000000000000
)
≤
-
(
6223661486905342670339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4364155818193
/
8000000000000
)
≤
-
(
1578326067291152192927
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4364155818193
/
8000000000000
)
≤
-
(
6464105087964167300301
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4364155818193
/
8000000000000
)
≤
-
(
6698515862953343862829
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4364155818193
/
8000000000000
)
≤
-
(
7045327077678014554961
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4364155818193
/
8000000000000
)
≤
-
(
1508095917026171862497
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4364155818193
/
8000000000000
)
≤
-
(
514369428705734080287
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4364155818193
/
8000000000000
)
≤
-
(
9177266539706387383039
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4364155818193
/
8000000000000
)
≤
-
(
10485693084161377691493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4364155818193
/
8000000000000
)
≤
-
(
193366462786153684599
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4364155818193
/
8000000000000
)
≤
-
(
1964224768782355217967
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4364155818193
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4364155818193
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4364155818193
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_496_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4364155818193
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_496
:
Uρ
(
4364155818193
/
8000000000000
)
≤
-
(
480610621488243035319
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
69906379973123
/
128000000000000
)
≤
-
(
6167587546193927183517
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
69906379973123
/
128000000000000
)
≤
-
(
6212038459828908181177
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
69906379973123
/
128000000000000
)
≤
-
(
6153882366540572167
/
9765625000000000000
)
source
theorem
Zeta5Irrational
.
U_497_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
69906379973123
/
128000000000000
)
≤
-
(
6452195255314039757353
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
69906379973123
/
128000000000000
)
≤
-
(
668631600941429284913
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
69906379973123
/
128000000000000
)
≤
-
(
6867849691752660767
/
9765625000000000000
)
source
theorem
Zeta5Irrational
.
U_497_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
69906379973123
/
128000000000000
)
≤
-
(
7527144268936852965187
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
69906379973123
/
128000000000000
)
≤
-
(
513470005995439371749
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
69906379973123
/
128000000000000
)
≤
-
(
366447935732025427061
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
69906379973123
/
128000000000000
)
≤
-
(
1308342692389497524921
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
69906379973123
/
128000000000000
)
≤
-
(
3087635739603101573631
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
69906379973123
/
128000000000000
)
≤
-
(
3133047669711312742019
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
69906379973123
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
69906379973123
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
69906379973123
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_497_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
69906379973123
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_497
:
Uρ
(
69906379973123
/
128000000000000
)
≤
-
(
2399471840990113090949
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
34993133427579
/
64000000000000
)
≤
-
(
6156029835042409091741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
34993133427579
/
64000000000000
)
≤
-
(
1550107231884159405343
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
34993133427579
/
64000000000000
)
≤
-
(
1257972112255709486683
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
34993133427579
/
64000000000000
)
≤
-
(
6440299601029007882821
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
34993133427579
/
64000000000000
)
≤
-
(
6674131051530196510577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
34993133427579
/
64000000000000
)
≤
-
(
438752821916816559511
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
34993133427579
/
64000000000000
)
≤
-
(
7513826920613636684123
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
34993133427579
/
64000000000000
)
≤
-
(
2050287639504809022989
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
34993133427579
/
64000000000000
)
≤
-
(
9145157522639751445491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
34993133427579
/
64000000000000
)
≤
-
(
10447830492519363594599
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
34993133427579
/
64000000000000
)
≤
-
(
12325713800658735169931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
34993133427579
/
64000000000000
)
≤
-
(
7808599520102826369753
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
34993133427579
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
34993133427579
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
34993133427579
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_498_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
34993133427579
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_498
:
Uρ
(
34993133427579
/
64000000000000
)
≤
-
(
383344754671723342871
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
70066153737193
/
128000000000000
)
≤
-
(
3072242733343819264019
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
70066153737193
/
128000000000000
)
≤
-
(
6188832858726643796807
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
70066153737193
/
128000000000000
)
≤
-
(
6278159290806943346951
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
70066153737193
/
128000000000000
)
≤
-
(
6428418091365539699
/
10000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
70066153737193
/
128000000000000
)
≤
-
(
832745119112230134817
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
70066153737193
/
128000000000000
)
≤
-
(
3503714117845335411479
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
70066153737193
/
128000000000000
)
≤
-
(
937565936406325238339
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
70066153737193
/
128000000000000
)
≤
-
(
1637360436293184612359
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
70066153737193
/
128000000000000
)
≤
-
(
4564571915178486632409
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
70066153737193
/
128000000000000
)
≤
-
(
2607239938261753790789
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
70066153737193
/
128000000000000
)
≤
-
(
6150482750929794706883
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
70066153737193
/
128000000000000
)
≤
-
(
15569664912888544190381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
70066153737193
/
128000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
70066153737193
/
128000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
70066153737193
/
128000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_499_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
70066153737193
/
128000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_499
:
Uρ
(
70066153737193
/
128000000000000
)
≤
-
(
9569405765138696291859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17536510154807
/
32000000000000
)
≤
-
(
6132954410357619226903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17536510154807
/
32000000000000
)
≤
-
(
6177250222205826174879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17536510154807
/
32000000000000
)
≤
-
(
195827240620468206163
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17536510154807
/
32000000000000
)
≤
-
(
3208275346350256311827
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17536510154807
/
32000000000000
)
≤
-
(
831225709655945375553
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17536510154807
/
32000000000000
)
≤
-
(
6994827298646218981741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17536510154807
/
32000000000000
)
≤
-
(
7487245932138787324571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17536510154807
/
32000000000000
)
≤
-
(
4086237451230692446593
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17536510154807
/
32000000000000
)
≤
-
(
2278289304907380917197
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17536510154807
/
32000000000000
)
≤
-
(
10410129130832395465343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17536510154807
/
32000000000000
)
≤
-
(
12276297427255723426533
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17536510154807
/
32000000000000
)
≤
-
(
3880655349478368086291
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17536510154807
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17536510154807
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17536510154807
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_500_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17536510154807
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_500
:
Uρ
(
17536510154807
/
32000000000000
)
≤
-
(
382209877564364374023
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
35152907191649
/
64000000000000
)
≤
-
(
1527483027803754788683
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
35152907191649
/
64000000000000
)
≤
-
(
3077062560900137648367
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
35152907191649
/
64000000000000
)
≤
-
(
6243137428800446165823
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
35152907191649
/
64000000000000
)
≤
-
(
3196429047235951039163
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
35152907191649
/
64000000000000
)
≤
-
(
3312769725239216942567
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
35152907191649
/
64000000000000
)
≤
-
(
6969673196046202864671
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
35152907191649
/
64000000000000
)
≤
-
(
746073623083452947819
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
35152907191649
/
64000000000000
)
≤
-
(
4071941691674149917709
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
35152907191649
/
64000000000000
)
≤
-
(
4540632429122172497341
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
35152907191649
/
64000000000000
)
≤
-
(
2074517497181400129451
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
35152907191649
/
64000000000000
)
≤
-
(
1222719945283823425943
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
35152907191649
/
64000000000000
)
≤
-
(
15429951354170808899491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
35152907191649
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
35152907191649
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
35152907191649
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_501_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
35152907191649
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_501
:
Uρ
(
35152907191649
/
64000000000000
)
≤
-
(
1190885984971035254361
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8808198518421
/
16000000000000
)
≤
-
(
304348134677823892373
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8808198518421
/
16000000000000
)
≤
-
(
3065526689465984201931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8808198518421
/
16000000000000
)
≤
-
(
3109928746905706661603
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8808198518421
/
16000000000000
)
≤
-
(
1592305384936174259601
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8808198518421
/
16000000000000
)
≤
-
(
6601332083711793922337
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8808198518421
/
16000000000000
)
≤
-
(
6944582519792693022809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8808198518421
/
16000000000000
)
≤
-
(
7434297431019868095343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8808198518421
/
16000000000000
)
≤
-
(
1014421937012309681831
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8808198518421
/
16000000000000
)
≤
-
(
4524739837311758777763
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8808198518421
/
16000000000000
)
≤
-
(
5167602033692465113331
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8808198518421
/
16000000000000
)
≤
-
(
1522301870274884627343
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8808198518421
/
16000000000000
)
≤
-
(
1917385680481320352707
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8808198518421
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8808198518421
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8808198518421
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_502_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8808198518421
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_502
:
Uρ
(
8808198518421
/
16000000000000
)
≤
-
(
189982673360871353711
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
35312680955719
/
64000000000000
)
≤
-
(
6064045915001829464321
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
35312680955719
/
64000000000000
)
≤
-
(
1221606949584324856063
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
35312680955719
/
64000000000000
)
≤
-
(
3098315821178827396319
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
35312680955719
/
64000000000000
)
≤
-
(
634564076381066350629
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
35312680955719
/
64000000000000
)
≤
-
(
3288591645766013384659
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
35312680955719
/
64000000000000
)
≤
-
(
6919554951870387697571
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
35312680955719
/
64000000000000
)
≤
-
(
7407929150169422584079
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
35312680955719
/
64000000000000
)
≤
-
(
8086950740760240682239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
35312680955719
/
64000000000000
)
≤
-
(
4508900456673071142313
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
35312680955719
/
64000000000000
)
≤
-
(
5148988703631236251007
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
35312680955719
/
64000000000000
)
≤
-
(
2425987833100888042973
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
35312680955719
/
64000000000000
)
≤
-
(
15249929318392561796379
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
35312680955719
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
35312680955719
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
35312680955719
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_503_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
35312680955719
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_503
:
Uρ
(
35312680955719
/
64000000000000
)
≤
-
(
947137693861291331499
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17696283918877
/
32000000000000
)
≤
-
(
60411815348335259041
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17696283918877
/
32000000000000
)
≤
-
(
3042534492391497808847
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17696283918877
/
32000000000000
)
≤
-
(
6173459623665779297577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17696283918877
/
32000000000000
)
≤
-
(
1580528875958493533667
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17696283918877
/
32000000000000
)
≤
-
(
6553092790598556143351
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17696283918877
/
32000000000000
)
≤
-
(
3447295084451065829983
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17696283918877
/
32000000000000
)
≤
-
(
3690815504439367221797
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17696283918877
/
32000000000000
)
≤
-
(
1007326077744263590559
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17696283918877
/
32000000000000
)
≤
-
(
1123278478412851818853
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17696283918877
/
32000000000000
)
≤
-
(
10260906059422783887687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17696283918877
/
32000000000000
)
≤
-
(
755110462113986613171
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17696283918877
/
32000000000000
)
≤
-
(
1516239665633792455279
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17696283918877
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17696283918877
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17696283918877
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_504_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17696283918877
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_504
:
Uρ
(
17696283918877
/
32000000000000
)
≤
-
(
1180476362959208691143
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
35472454719789
/
64000000000000
)
≤
-
(
6018369313981465330427
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
35472454719789
/
64000000000000
)
≤
-
(
6062155847207341966241
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
35472454719789
/
64000000000000
)
≤
-
(
384396324293936033753
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
35472454719789
/
64000000000000
)
≤
-
(
6298645498833575554591
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
35472454719789
/
64000000000000
)
≤
-
(
6529060299625747032463
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
35472454719789
/
64000000000000
)
≤
-
(
858710982215112154227
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
35472454719789
/
64000000000000
)
≤
-
(
58843221046640534947
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
35472454719789
/
64000000000000
)
≤
-
(
2007587162204019625203
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
35472454719789
/
64000000000000
)
≤
-
(
8954759677569814852371
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
35472454719789
/
64000000000000
)
≤
-
(
255599714979519626207
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
35472454719789
/
64000000000000
)
≤
-
(
6016947547431752205949
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
35472454719789
/
64000000000000
)
≤
-
(
1884551029486662392393
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
35472454719789
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
35472454719789
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
35472454719789
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_505_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
35472454719789
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_505
:
Uρ
(
35472454719789
/
64000000000000
)
≤
-
(
9416429288524211005069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1111010675057
/
2000000000000
)
≤
-
(
59956090150079933539
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1111010675057
/
2000000000000
)
≤
-
(
6039295094548093923991
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1111010675057
/
2000000000000
)
≤
-
(
6127276090160940364943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1111010675057
/
2000000000000
)
≤
-
(
3137615244832883098359
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1111010675057
/
2000000000000
)
≤
-
(
6505085539363036308551
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1111010675057
/
2000000000000
)
≤
-
(
6844847704947540843917
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1111010675057
/
2000000000000
)
≤
-
(
3664621821379332739513
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1111010675057
/
2000000000000
)
≤
-
(
4001085167470894044969
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1111010675057
/
2000000000000
)
≤
-
(
35693582933142942329
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1111010675057
/
2000000000000
)
≤
-
(
10187223622840232274999
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1111010675057
/
2000000000000
)
≤
-
(
5993158914446563252359
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1111010675057
/
2000000000000
)
≤
-
(
14991891141000413337327
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1111010675057
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1111010675057
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1111010675057
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_506_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1111010675057
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_506
:
Uρ
(
1111010675057
/
2000000000000
)
≤
-
(
9389226274504482798993
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
35632228483859
/
64000000000000
)
≤
-
(
373306275130817100621
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
35632228483859
/
64000000000000
)
≤
-
(
3008243243902837444081
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
35632228483859
/
64000000000000
)
≤
-
(
6104264082439977002931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
35632228483859
/
64000000000000
)
≤
-
(
6251870219006976036533
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
35632228483859
/
64000000000000
)
≤
-
(
6481168232575320061883
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
35632228483859
/
64000000000000
)
≤
-
(
3410034699783073694907
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
35632228483859
/
64000000000000
)
≤
-
(
1460630734883897880289
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
35632228483859
/
64000000000000
)
≤
-
(
3987036599165787142513
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
35632228483859
/
64000000000000
)
≤
-
(
8892135271530491175893
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
35632228483859
/
64000000000000
)
≤
-
(
5075304873631269541131
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
35632228483859
/
64000000000000
)
≤
-
(
11939031264853494913149
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
35632228483859
/
64000000000000
)
≤
-
(
2981755615627733624033
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
35632228483859
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
35632228483859
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
35632228483859
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_507_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
35632228483859
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_507
:
Uρ
(
35632228483859
/
64000000000000
)
≤
-
(
1170274556345986861049
/
1250000000000000000000
)