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.
Zeta5Irrational
.
Table
.
U32
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_388_1
Zeta5Irrational
.
U_388_2
Zeta5Irrational
.
U_388_3
Zeta5Irrational
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U_388_4
Zeta5Irrational
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U_388_5
Zeta5Irrational
.
U_388_6
Zeta5Irrational
.
U_388_7
Zeta5Irrational
.
U_388_8
Zeta5Irrational
.
U_388_9
Zeta5Irrational
.
U_388_10
Zeta5Irrational
.
U_388_11
Zeta5Irrational
.
U_388_12
Zeta5Irrational
.
U_388_13
Zeta5Irrational
.
U_388_14
Zeta5Irrational
.
U_388_15
Zeta5Irrational
.
U_388_16
Zeta5Irrational
.
U_388
Zeta5Irrational
.
U_389_1
Zeta5Irrational
.
U_389_2
Zeta5Irrational
.
U_389_3
Zeta5Irrational
.
U_389_4
Zeta5Irrational
.
U_389_5
Zeta5Irrational
.
U_389_6
Zeta5Irrational
.
U_389_7
Zeta5Irrational
.
U_389_8
Zeta5Irrational
.
U_389_9
Zeta5Irrational
.
U_389_10
Zeta5Irrational
.
U_389_11
Zeta5Irrational
.
U_389_12
Zeta5Irrational
.
U_389_13
Zeta5Irrational
.
U_389_14
Zeta5Irrational
.
U_389_15
Zeta5Irrational
.
U_389_16
Zeta5Irrational
.
U_389
Zeta5Irrational
.
U_390_1
Zeta5Irrational
.
U_390_2
Zeta5Irrational
.
U_390_3
Zeta5Irrational
.
U_390_4
Zeta5Irrational
.
U_390_5
Zeta5Irrational
.
U_390_6
Zeta5Irrational
.
U_390_7
Zeta5Irrational
.
U_390_8
Zeta5Irrational
.
U_390_9
Zeta5Irrational
.
U_390_10
Zeta5Irrational
.
U_390_11
Zeta5Irrational
.
U_390_12
Zeta5Irrational
.
U_390_13
Zeta5Irrational
.
U_390_14
Zeta5Irrational
.
U_390_15
Zeta5Irrational
.
U_390_16
Zeta5Irrational
.
U_390
Zeta5Irrational
.
U_391_1
Zeta5Irrational
.
U_391_2
Zeta5Irrational
.
U_391_3
Zeta5Irrational
.
U_391_4
Zeta5Irrational
.
U_391_5
Zeta5Irrational
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U_391_6
Zeta5Irrational
.
U_391_7
Zeta5Irrational
.
U_391_8
Zeta5Irrational
.
U_391_9
Zeta5Irrational
.
U_391_10
Zeta5Irrational
.
U_391_11
Zeta5Irrational
.
U_391_12
Zeta5Irrational
.
U_391_13
Zeta5Irrational
.
U_391_14
Zeta5Irrational
.
U_391_15
Zeta5Irrational
.
U_391_16
Zeta5Irrational
.
U_391
Zeta5Irrational
.
U_392_1
Zeta5Irrational
.
U_392_2
Zeta5Irrational
.
U_392_3
Zeta5Irrational
.
U_392_4
Zeta5Irrational
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U_392_5
Zeta5Irrational
.
U_392_6
Zeta5Irrational
.
U_392_7
Zeta5Irrational
.
U_392_8
Zeta5Irrational
.
U_392_9
Zeta5Irrational
.
U_392_10
Zeta5Irrational
.
U_392_11
Zeta5Irrational
.
U_392_12
Zeta5Irrational
.
U_392_13
Zeta5Irrational
.
U_392_14
Zeta5Irrational
.
U_392_15
Zeta5Irrational
.
U_392_16
Zeta5Irrational
.
U_392
Zeta5Irrational
.
U_393_1
Zeta5Irrational
.
U_393_2
Zeta5Irrational
.
U_393_3
Zeta5Irrational
.
U_393_4
Zeta5Irrational
.
U_393_5
Zeta5Irrational
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U_393_6
Zeta5Irrational
.
U_393_7
Zeta5Irrational
.
U_393_8
Zeta5Irrational
.
U_393_9
Zeta5Irrational
.
U_393_10
Zeta5Irrational
.
U_393_11
Zeta5Irrational
.
U_393_12
Zeta5Irrational
.
U_393_13
Zeta5Irrational
.
U_393_14
Zeta5Irrational
.
U_393_15
Zeta5Irrational
.
U_393_16
Zeta5Irrational
.
U_393
Zeta5Irrational
.
U_394_1
Zeta5Irrational
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U_394_2
Zeta5Irrational
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U_394_3
Zeta5Irrational
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U_394_4
Zeta5Irrational
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U_394_5
Zeta5Irrational
.
U_394_6
Zeta5Irrational
.
U_394_7
Zeta5Irrational
.
U_394_8
Zeta5Irrational
.
U_394_9
Zeta5Irrational
.
U_394_10
Zeta5Irrational
.
U_394_11
Zeta5Irrational
.
U_394_12
Zeta5Irrational
.
U_394_13
Zeta5Irrational
.
U_394_14
Zeta5Irrational
.
U_394_15
Zeta5Irrational
.
U_394_16
Zeta5Irrational
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U_394
Zeta5Irrational
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U_395_1
Zeta5Irrational
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U_395_2
Zeta5Irrational
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U_395_3
Zeta5Irrational
.
U_395_4
Zeta5Irrational
.
U_395_5
Zeta5Irrational
.
U_395_6
Zeta5Irrational
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U_395_7
Zeta5Irrational
.
U_395_8
Zeta5Irrational
.
U_395_9
Zeta5Irrational
.
U_395_10
Zeta5Irrational
.
U_395_11
Zeta5Irrational
.
U_395_12
Zeta5Irrational
.
U_395_13
Zeta5Irrational
.
U_395_14
Zeta5Irrational
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U_395_15
Zeta5Irrational
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U_395_16
Zeta5Irrational
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U_395
Zeta5Irrational
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U_396_1
Zeta5Irrational
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U_396_2
Zeta5Irrational
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U_396_3
Zeta5Irrational
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U_396_4
Zeta5Irrational
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U_396_5
Zeta5Irrational
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U_396_6
Zeta5Irrational
.
U_396_7
Zeta5Irrational
.
U_396_8
Zeta5Irrational
.
U_396_9
Zeta5Irrational
.
U_396_10
Zeta5Irrational
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U_396_11
Zeta5Irrational
.
U_396_12
Zeta5Irrational
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U_396_13
Zeta5Irrational
.
U_396_14
Zeta5Irrational
.
U_396_15
Zeta5Irrational
.
U_396_16
Zeta5Irrational
.
U_396
Zeta5Irrational
.
U_397_1
Zeta5Irrational
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U_397_2
Zeta5Irrational
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U_397_3
Zeta5Irrational
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U_397_4
Zeta5Irrational
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U_397_5
Zeta5Irrational
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U_397_6
Zeta5Irrational
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U_397_7
Zeta5Irrational
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U_397_8
Zeta5Irrational
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U_397_9
Zeta5Irrational
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U_397_10
Zeta5Irrational
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U_397_11
Zeta5Irrational
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U_397_12
Zeta5Irrational
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U_397_13
Zeta5Irrational
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U_397_14
Zeta5Irrational
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U_397_15
Zeta5Irrational
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U_397_16
Zeta5Irrational
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U_397
Zeta5Irrational
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U_398_1
Zeta5Irrational
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U_398_2
Zeta5Irrational
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U_398_3
Zeta5Irrational
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U_398_4
Zeta5Irrational
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U_398_5
Zeta5Irrational
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U_398_6
Zeta5Irrational
.
U_398_7
Zeta5Irrational
.
U_398_8
Zeta5Irrational
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U_398_9
Zeta5Irrational
.
U_398_10
Zeta5Irrational
.
U_398_11
Zeta5Irrational
.
U_398_12
Zeta5Irrational
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U_398_13
Zeta5Irrational
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U_398_14
Zeta5Irrational
.
U_398_15
Zeta5Irrational
.
U_398_16
Zeta5Irrational
.
U_398
Zeta5Irrational
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U_399_1
Zeta5Irrational
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U_399_2
Zeta5Irrational
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U_399_3
Zeta5Irrational
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U_399_4
Zeta5Irrational
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U_399_5
Zeta5Irrational
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U_399_6
Zeta5Irrational
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U_399_7
Zeta5Irrational
.
U_399_8
Zeta5Irrational
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U_399_9
Zeta5Irrational
.
U_399_10
Zeta5Irrational
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U_399_11
Zeta5Irrational
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U_399_12
Zeta5Irrational
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U_399_13
Zeta5Irrational
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U_399_14
Zeta5Irrational
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U_399_15
Zeta5Irrational
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U_399_16
Zeta5Irrational
.
U_399
Certified arcsine potential bounds (U32)
#
source
theorem
Zeta5Irrational
.
U_388_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
24474094522977
/
64000000000000
)
≤
-
(
9782892679034460345389
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
24474094522977
/
64000000000000
)
≤
-
(
9846961784527956511941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
24474094522977
/
64000000000000
)
≤
-
(
9976602955068756301647
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
24474094522977
/
64000000000000
)
≤
-
(
5098260374562509612519
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
24474094522977
/
64000000000000
)
≤
-
(
10543212587579755254357
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
24474094522977
/
64000000000000
)
≤
-
(
11068065731103946049403
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
24474094522977
/
64000000000000
)
≤
-
(
1480771428879991064171
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
24474094522977
/
64000000000000
)
≤
-
(
13001460302417974526679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
24474094522977
/
64000000000000
)
≤
-
(
7397103440139706118931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
24474094522977
/
64000000000000
)
≤
-
(
3634209441235360305123
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
24474094522977
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
24474094522977
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
24474094522977
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
24474094522977
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
24474094522977
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_388_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
24474094522977
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_388
:
Uρ
(
24474094522977
/
64000000000000
)
≤
-
(
6886071039805945481207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6139452918309
/
16000000000000
)
≤
-
(
4874079507725232605329
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6139452918309
/
16000000000000
)
≤
-
(
9812003014569464231753
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6139452918309
/
16000000000000
)
≤
-
(
310661935157438047953
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6139452918309
/
16000000000000
)
≤
-
(
10160294209093882698789
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6139452918309
/
16000000000000
)
≤
-
(
10505658718397677553489
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6139452918309
/
16000000000000
)
≤
-
(
11028356902751511319297
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6139452918309
/
16000000000000
)
≤
-
(
11802899846123785371143
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6139452918309
/
16000000000000
)
≤
-
(
12951899506522119733701
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6139452918309
/
16000000000000
)
≤
-
(
14731518704915448957371
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6139452918309
/
16000000000000
)
≤
-
(
9029794594203179324451
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6139452918309
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6139452918309
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6139452918309
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6139452918309
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6139452918309
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_389_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6139452918309
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_389
:
Uρ
(
6139452918309
/
16000000000000
)
≤
-
(
6869138820388027502371
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4928305764699
/
12800000000000
)
≤
-
(
9713545579860973935019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4928305764699
/
12800000000000
)
≤
-
(
1955433209774552219883
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4928305764699
/
12800000000000
)
≤
-
(
9905885984557209782699
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4928305764699
/
12800000000000
)
≤
-
(
10124198641054031683193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4928305764699
/
12800000000000
)
≤
-
(
10468245961831071935927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4928305764699
/
12800000000000
)
≤
-
(
1098880688224468762929
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4928305764699
/
12800000000000
)
≤
-
(
5879909935102141370187
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4928305764699
/
12800000000000
)
≤
-
(
12902600052262391086187
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4928305764699
/
12800000000000
)
≤
-
(
7334647102916508509139
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4928305764699
/
12800000000000
)
≤
-
(
17950290879875761555441
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4928305764699
/
12800000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4928305764699
/
12800000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4928305764699
/
12800000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4928305764699
/
12800000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4928305764699
/
12800000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_390_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4928305764699
/
12800000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_390
:
Uρ
(
4928305764699
/
12800000000000
)
≤
-
(
13704718217822075139391
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
12362622986877
/
32000000000000
)
≤
-
(
9679051542797064085659
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
12362622986877
/
32000000000000
)
≤
-
(
608903127591907559467
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
12362622986877
/
32000000000000
)
≤
-
(
4935357126377696842237
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
12362622986877
/
32000000000000
)
≤
-
(
10088233099897932006419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
12362622986877
/
32000000000000
)
≤
-
(
10430973256828805279317
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
12362622986877
/
32000000000000
)
≤
-
(
1094941439062756986717
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
12362622986877
/
32000000000000
)
≤
-
(
11716929769262015717329
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
12362622986877
/
32000000000000
)
≤
-
(
12853559027970004128109
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
12362622986877
/
32000000000000
)
≤
-
(
14607525600897892519987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
12362622986877
/
32000000000000
)
≤
-
(
17843043740896604037687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
12362622986877
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
12362622986877
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
12362622986877
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
12362622986877
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
12362622986877
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_391_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
12362622986877
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_391
:
Uρ
(
12362622986877
/
32000000000000
)
≤
-
(
1708931642661093442263
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
24808963124013
/
64000000000000
)
≤
-
(
9644676083344422677201
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
24808963124013
/
64000000000000
)
≤
-
(
4853927077589738354537
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
24808963124013
/
64000000000000
)
≤
-
(
983566585803844534669
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
24808963124013
/
64000000000000
)
≤
-
(
10052396650727247046407
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
24808963124013
/
64000000000000
)
≤
-
(
10393839554312362094071
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
24808963124013
/
64000000000000
)
≤
-
(
5455089082246591798157
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
24808963124013
/
64000000000000
)
≤
-
(
11674227833276534326773
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
24808963124013
/
64000000000000
)
≤
-
(
12804773572830401849953
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
24808963124013
/
64000000000000
)
≤
-
(
14546205320110649728969
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
24808963124013
/
64000000000000
)
≤
-
(
8868874065295747246851
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
24808963124013
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
24808963124013
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
24808963124013
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
24808963124013
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
24808963124013
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_392_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
24808963124013
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_392
:
Uρ
(
24808963124013
/
64000000000000
)
≤
-
(
13638472530975199410167
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
777896258571
/
2000000000000
)
≤
-
(
9610418389026122523323
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
777896258571
/
2000000000000
)
≤
-
(
9673377561479211552663
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
777896258571
/
2000000000000
)
≤
-
(
4900369968979588461839
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
777896258571
/
2000000000000
)
≤
-
(
10016688368706092780689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
777896258571
/
2000000000000
)
≤
-
(
1294605477124456972273
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
777896258571
/
2000000000000
)
≤
-
(
10871096955729972325563
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
777896258571
/
2000000000000
)
≤
-
(
5815856187888038278651
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
777896258571
/
2000000000000
)
≤
-
(
6378120437829771179201
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
777896258571
/
2000000000000
)
≤
-
(
7242662998772565864273
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
777896258571
/
2000000000000
)
≤
-
(
17634312313178388895607
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
777896258571
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
777896258571
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
777896258571
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
777896258571
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
777896258571
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_393_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
777896258571
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_393
:
Uρ
(
777896258571
/
2000000000000
)
≤
-
(
13605767210096107167543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
24976397424531
/
64000000000000
)
≤
-
(
478813882784368812437
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
24976397424531
/
64000000000000
)
≤
-
(
4819509720196513865331
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
24976397424531
/
64000000000000
)
≤
-
(
152592744360776913309
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
24976397424531
/
64000000000000
)
≤
-
(
1247638417364616165651
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
24976397424531
/
64000000000000
)
≤
-
(
10319985019208236224207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
24976397424531
/
64000000000000
)
≤
-
(
2708042382818369174677
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
24976397424531
/
64000000000000
)
≤
-
(
11589381733398019179671
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
24976397424531
/
64000000000000
)
≤
-
(
12707958173717871882943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
24976397424531
/
64000000000000
)
≤
-
(
14424880463678895676333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
24976397424531
/
64000000000000
)
≤
-
(
2191581450344132072969
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
24976397424531
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
24976397424531
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
24976397424531
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
24976397424531
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
24976397424531
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_394_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
24976397424531
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_394
:
Uρ
(
24976397424531
/
64000000000000
)
≤
-
(
3393332157828625400013
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2506011457479
/
6400000000000
)
≤
-
(
1908450617476454881111
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2506011457479
/
6400000000000
)
≤
-
(
9604778980370867307719
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2506011457479
/
6400000000000
)
≤
-
(
4865626058448077485459
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2506011457479
/
6400000000000
)
≤
-
(
9945652656219027259689
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2506011457479
/
6400000000000
)
≤
-
(
2570815536680449644243
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2506011457479
/
6400000000000
)
≤
-
(
2698348668215771873327
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2506011457479
/
6400000000000
)
≤
-
(
11547234265459707690501
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2506011457479
/
6400000000000
)
≤
-
(
6329961375780254349371
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2506011457479
/
6400000000000
)
≤
-
(
14364861738092443484433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2506011457479
/
6400000000000
)
≤
-
(
4358171905916996388157
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2506011457479
/
6400000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2506011457479
/
6400000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2506011457479
/
6400000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2506011457479
/
6400000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2506011457479
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_395_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2506011457479
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_395
:
Uρ
(
2506011457479
/
6400000000000
)
≤
-
(
13541148812692470789573
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
25143831725049
/
64000000000000
)
≤
-
(
9508343896262421957543
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
25143831725049
/
64000000000000
)
≤
-
(
4785327689087111628957
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
25143831725049
/
64000000000000
)
≤
-
(
9696688535615259549621
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
25143831725049
/
64000000000000
)
≤
-
(
9910323425109448560787
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
25143831725049
/
64000000000000
)
≤
-
(
10246674196579949227919
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
25143831725049
/
64000000000000
)
≤
-
(
5377385588401860750483
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
25143831725049
/
64000000000000
)
≤
-
(
2876317088384850507541
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
25143831725049
/
64000000000000
)
≤
-
(
12612131939922347998239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
25143831725049
/
64000000000000
)
≤
-
(
7152631511257893339269
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
25143831725049
/
64000000000000
)
≤
-
(
17334347667952915807461
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
25143831725049
/
64000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
25143831725049
/
64000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
25143831725049
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
25143831725049
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
25143831725049
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_396_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
25143831725049
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_396
:
Uρ
(
25143831725049
/
64000000000000
)
≤
-
(
13509220281971782976273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
6306887218827
/
16000000000000
)
≤
-
(
9474549302467474731171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
6306887218827
/
16000000000000
)
≤
-
(
2384161959690752671551
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
6306887218827
/
16000000000000
)
≤
-
(
483112203406672262523
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
6306887218827
/
16000000000000
)
≤
-
(
395004750383460144211
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
6306887218827
/
16000000000000
)
≤
-
(
10210220176931123704729
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
6306887218827
/
16000000000000
)
≤
-
(
1071629785373233403567
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
6306887218827
/
16000000000000
)
≤
-
(
1146348240106701236677
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
6306887218827
/
16000000000000
)
≤
-
(
785286444664797924013
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
6306887218827
/
16000000000000
)
≤
-
(
14246077694202213291207
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
6306887218827
/
16000000000000
)
≤
-
(
17237564134643599097387
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
6306887218827
/
16000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
6306887218827
/
16000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
6306887218827
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
6306887218827
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
6306887218827
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_397_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
6306887218827
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_397
:
Uρ
(
6306887218827
/
16000000000000
)
≤
-
(
2695507205577800469069
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
12697491587913
/
32000000000000
)
≤
-
(
4703650413353603050421
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
12697491587913
/
32000000000000
)
≤
-
(
9468977808463272198431
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
12697491587913
/
32000000000000
)
≤
-
(
1199213651081101815863
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
12697491587913
/
32000000000000
)
≤
-
(
9805079627997499469213
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
12697491587913
/
32000000000000
)
≤
-
(
10137710016249584730821
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
12697491587913
/
32000000000000
)
≤
-
(
10639797039393326246521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
12697491587913
/
32000000000000
)
≤
-
(
11380444095054808415279
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
12697491587913
/
32000000000000
)
≤
-
(
12470201145686833426751
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
12697491587913
/
32000000000000
)
≤
-
(
3532230387094757563699
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
12697491587913
/
32000000000000
)
≤
-
(
17048418578553716535903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
12697491587913
/
32000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
12697491587913
/
32000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
12697491587913
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
12697491587913
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
12697491587913
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_398_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
12697491587913
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_398
:
Uρ
(
12697491587913
/
32000000000000
)
≤
-
(
13414874358368062389781
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
3195302184543
/
8000000000000
)
≤
-
(
4670250788467362062751
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
3195302184543
/
8000000000000
)
≤
-
(
376070507557605859629
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
3195302184543
/
8000000000000
)
≤
-
(
1905128218010882884229
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
3195302184543
/
8000000000000
)
≤
-
(
243388208960620545919
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
3195302184543
/
8000000000000
)
≤
-
(
5032861972902583863707
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
3195302184543
/
8000000000000
)
≤
-
(
5281941496501066055649
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
3195302184543
/
8000000000000
)
≤
-
(
1412263374616923864879
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
3195302184543
/
8000000000000
)
≤
-
(
3094189178564688703663
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
3195302184543
/
8000000000000
)
≤
-
(
14013343596192001386277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
3195302184543
/
8000000000000
)
≤
-
(
843239751853213725649
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
3195302184543
/
8000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
3195302184543
/
8000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
3195302184543
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
3195302184543
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
3195302184543
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_399_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
3195302184543
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_399
:
Uρ
(
3195302184543
/
8000000000000
)
≤
-
(
13353115432411953119471
/
10000000000000000000000
)