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Zeta5Irrational
.
Table
.
U47
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_568_1
Zeta5Irrational
.
U_568_2
Zeta5Irrational
.
U_568_3
Zeta5Irrational
.
U_568_4
Zeta5Irrational
.
U_568_5
Zeta5Irrational
.
U_568_6
Zeta5Irrational
.
U_568_7
Zeta5Irrational
.
U_568_8
Zeta5Irrational
.
U_568_9
Zeta5Irrational
.
U_568_10
Zeta5Irrational
.
U_568_11
Zeta5Irrational
.
U_568_12
Zeta5Irrational
.
U_568_13
Zeta5Irrational
.
U_568_14
Zeta5Irrational
.
U_568_15
Zeta5Irrational
.
U_568_16
Zeta5Irrational
.
U_568
Zeta5Irrational
.
U_569_1
Zeta5Irrational
.
U_569_2
Zeta5Irrational
.
U_569_3
Zeta5Irrational
.
U_569_4
Zeta5Irrational
.
U_569_5
Zeta5Irrational
.
U_569_6
Zeta5Irrational
.
U_569_7
Zeta5Irrational
.
U_569_8
Zeta5Irrational
.
U_569_9
Zeta5Irrational
.
U_569_10
Zeta5Irrational
.
U_569_11
Zeta5Irrational
.
U_569_12
Zeta5Irrational
.
U_569_13
Zeta5Irrational
.
U_569_14
Zeta5Irrational
.
U_569_15
Zeta5Irrational
.
U_569_16
Zeta5Irrational
.
U_569
Zeta5Irrational
.
U_570_1
Zeta5Irrational
.
U_570_2
Zeta5Irrational
.
U_570_3
Zeta5Irrational
.
U_570_4
Zeta5Irrational
.
U_570_5
Zeta5Irrational
.
U_570_6
Zeta5Irrational
.
U_570_7
Zeta5Irrational
.
U_570_8
Zeta5Irrational
.
U_570_9
Zeta5Irrational
.
U_570_10
Zeta5Irrational
.
U_570_11
Zeta5Irrational
.
U_570_12
Zeta5Irrational
.
U_570_13
Zeta5Irrational
.
U_570_14
Zeta5Irrational
.
U_570_15
Zeta5Irrational
.
U_570_16
Zeta5Irrational
.
U_570
Zeta5Irrational
.
U_571_1
Zeta5Irrational
.
U_571_2
Zeta5Irrational
.
U_571_3
Zeta5Irrational
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U_571_4
Zeta5Irrational
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U_571_5
Zeta5Irrational
.
U_571_6
Zeta5Irrational
.
U_571_7
Zeta5Irrational
.
U_571_8
Zeta5Irrational
.
U_571_9
Zeta5Irrational
.
U_571_10
Zeta5Irrational
.
U_571_11
Zeta5Irrational
.
U_571_12
Zeta5Irrational
.
U_571_13
Zeta5Irrational
.
U_571_14
Zeta5Irrational
.
U_571_15
Zeta5Irrational
.
U_571_16
Zeta5Irrational
.
U_571
Zeta5Irrational
.
U_572_1
Zeta5Irrational
.
U_572_2
Zeta5Irrational
.
U_572_3
Zeta5Irrational
.
U_572_4
Zeta5Irrational
.
U_572_5
Zeta5Irrational
.
U_572_6
Zeta5Irrational
.
U_572_7
Zeta5Irrational
.
U_572_8
Zeta5Irrational
.
U_572_9
Zeta5Irrational
.
U_572_10
Zeta5Irrational
.
U_572_11
Zeta5Irrational
.
U_572_12
Zeta5Irrational
.
U_572_13
Zeta5Irrational
.
U_572_14
Zeta5Irrational
.
U_572_15
Zeta5Irrational
.
U_572_16
Zeta5Irrational
.
U_572
Zeta5Irrational
.
U_573_1
Zeta5Irrational
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U_573_2
Zeta5Irrational
.
U_573_3
Zeta5Irrational
.
U_573_4
Zeta5Irrational
.
U_573_5
Zeta5Irrational
.
U_573_6
Zeta5Irrational
.
U_573_7
Zeta5Irrational
.
U_573_8
Zeta5Irrational
.
U_573_9
Zeta5Irrational
.
U_573_10
Zeta5Irrational
.
U_573_11
Zeta5Irrational
.
U_573_12
Zeta5Irrational
.
U_573_13
Zeta5Irrational
.
U_573_14
Zeta5Irrational
.
U_573_15
Zeta5Irrational
.
U_573_16
Zeta5Irrational
.
U_573
Zeta5Irrational
.
U_574_1
Zeta5Irrational
.
U_574_2
Zeta5Irrational
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U_574_3
Zeta5Irrational
.
U_574_4
Zeta5Irrational
.
U_574_5
Zeta5Irrational
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U_574_6
Zeta5Irrational
.
U_574_7
Zeta5Irrational
.
U_574_8
Zeta5Irrational
.
U_574_9
Zeta5Irrational
.
U_574_10
Zeta5Irrational
.
U_574_11
Zeta5Irrational
.
U_574_12
Zeta5Irrational
.
U_574_13
Zeta5Irrational
.
U_574_14
Zeta5Irrational
.
U_574_15
Zeta5Irrational
.
U_574_16
Zeta5Irrational
.
U_574
Zeta5Irrational
.
U_575_1
Zeta5Irrational
.
U_575_2
Zeta5Irrational
.
U_575_3
Zeta5Irrational
.
U_575_4
Zeta5Irrational
.
U_575_5
Zeta5Irrational
.
U_575_6
Zeta5Irrational
.
U_575_7
Zeta5Irrational
.
U_575_8
Zeta5Irrational
.
U_575_9
Zeta5Irrational
.
U_575_10
Zeta5Irrational
.
U_575_11
Zeta5Irrational
.
U_575_12
Zeta5Irrational
.
U_575_13
Zeta5Irrational
.
U_575_14
Zeta5Irrational
.
U_575_15
Zeta5Irrational
.
U_575_16
Zeta5Irrational
.
U_575
Zeta5Irrational
.
U_576_1
Zeta5Irrational
.
U_576_2
Zeta5Irrational
.
U_576_3
Zeta5Irrational
.
U_576_4
Zeta5Irrational
.
U_576_5
Zeta5Irrational
.
U_576_6
Zeta5Irrational
.
U_576_7
Zeta5Irrational
.
U_576_8
Zeta5Irrational
.
U_576_9
Zeta5Irrational
.
U_576_10
Zeta5Irrational
.
U_576_11
Zeta5Irrational
.
U_576_12
Zeta5Irrational
.
U_576_13
Zeta5Irrational
.
U_576_14
Zeta5Irrational
.
U_576_15
Zeta5Irrational
.
U_576_16
Zeta5Irrational
.
U_576
Zeta5Irrational
.
U_577_1
Zeta5Irrational
.
U_577_2
Zeta5Irrational
.
U_577_3
Zeta5Irrational
.
U_577_4
Zeta5Irrational
.
U_577_5
Zeta5Irrational
.
U_577_6
Zeta5Irrational
.
U_577_7
Zeta5Irrational
.
U_577_8
Zeta5Irrational
.
U_577_9
Zeta5Irrational
.
U_577_10
Zeta5Irrational
.
U_577_11
Zeta5Irrational
.
U_577_12
Zeta5Irrational
.
U_577_13
Zeta5Irrational
.
U_577_14
Zeta5Irrational
.
U_577_15
Zeta5Irrational
.
U_577_16
Zeta5Irrational
.
U_577
Zeta5Irrational
.
U_578_1
Zeta5Irrational
.
U_578_2
Zeta5Irrational
.
U_578_3
Zeta5Irrational
.
U_578_4
Zeta5Irrational
.
U_578_5
Zeta5Irrational
.
U_578_6
Zeta5Irrational
.
U_578_7
Zeta5Irrational
.
U_578_8
Zeta5Irrational
.
U_578_9
Zeta5Irrational
.
U_578_10
Zeta5Irrational
.
U_578_11
Zeta5Irrational
.
U_578_12
Zeta5Irrational
.
U_578_13
Zeta5Irrational
.
U_578_14
Zeta5Irrational
.
U_578_15
Zeta5Irrational
.
U_578_16
Zeta5Irrational
.
U_578
Zeta5Irrational
.
U_579_1
Zeta5Irrational
.
U_579_2
Zeta5Irrational
.
U_579_3
Zeta5Irrational
.
U_579_4
Zeta5Irrational
.
U_579_5
Zeta5Irrational
.
U_579_6
Zeta5Irrational
.
U_579_7
Zeta5Irrational
.
U_579_8
Zeta5Irrational
.
U_579_9
Zeta5Irrational
.
U_579_10
Zeta5Irrational
.
U_579_11
Zeta5Irrational
.
U_579_12
Zeta5Irrational
.
U_579_13
Zeta5Irrational
.
U_579_14
Zeta5Irrational
.
U_579_15
Zeta5Irrational
.
U_579_16
Zeta5Irrational
.
U_579
Certified arcsine potential bounds (U47)
#
source
theorem
Zeta5Irrational
.
U_568_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5245138462927
/
8000000000000
)
≤
-
(
4320296992729446895061
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5245138462927
/
8000000000000
)
≤
-
(
2178596304860126658363
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5245138462927
/
8000000000000
)
≤
-
(
553922780094374103553
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5245138462927
/
8000000000000
)
≤
-
(
36446318800435169751
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5245138462927
/
8000000000000
)
≤
-
(
1187039758133659573379
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5245138462927
/
8000000000000
)
≤
-
(
5030412153596103091251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5245138462927
/
8000000000000
)
≤
-
(
5428221581310503912809
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5245138462927
/
8000000000000
)
≤
-
(
597109085408817176559
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5245138462927
/
8000000000000
)
≤
-
(
3346738440394695985477
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5245138462927
/
8000000000000
)
≤
-
(
7638238555624362940643
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5245138462927
/
8000000000000
)
≤
-
(
2216547990186434725099
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5245138462927
/
8000000000000
)
≤
-
(
2621534172356183131653
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5245138462927
/
8000000000000
)
≤
-
(
12791974179380312102249
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5245138462927
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5245138462927
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_568_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5245138462927
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_568
:
Uρ
(
5245138462927
/
8000000000000
)
≤
-
(
7197794843052013057711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10559069530791
/
16000000000000
)
≤
-
(
4254285836572129056119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10559069530791
/
16000000000000
)
≤
-
(
4290936846030395396877
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10559069530791
/
16000000000000
)
≤
-
(
4364630488213829430073
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10559069530791
/
16000000000000
)
≤
-
(
448819378046638877049
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10559069530791
/
16000000000000
)
≤
-
(
935845087457148488507
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10559069530791
/
16000000000000
)
≤
-
(
1239860650579759773883
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10559069530791
/
16000000000000
)
≤
-
(
535422405003292823967
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10559069530791
/
16000000000000
)
≤
-
(
589263219909437068171
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10559069530791
/
16000000000000
)
≤
-
(
826051030152510713157
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10559069530791
/
16000000000000
)
≤
-
(
7543122663510840268807
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10559069530791
/
16000000000000
)
≤
-
(
1750982146713054436347
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10559069530791
/
16000000000000
)
≤
-
(
5172777597921439708851
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10559069530791
/
16000000000000
)
≤
-
(
393112829726998233739
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10559069530791
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10559069530791
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_569_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10559069530791
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_569
:
Uρ
(
10559069530791
/
16000000000000
)
≤
-
(
35589846219897266431
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
664241383483
/
1000000000000
)
≤
-
(
4188707574941079792709
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
664241383483
/
1000000000000
)
≤
-
(
4225117198853214904403
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
664241383483
/
1000000000000
)
≤
-
(
429832144022243457453
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
664241383483
/
1000000000000
)
≤
-
(
552631475048740095093
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
664241383483
/
1000000000000
)
≤
-
(
4610764411565489378927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
664241383483
/
1000000000000
)
≤
-
(
2444487408756060489599
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
664241383483
/
1000000000000
)
≤
-
(
5280774161118552785937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
664241383483
/
1000000000000
)
≤
-
(
5814794347494712517697
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
664241383483
/
1000000000000
)
≤
-
(
1631020436464782829367
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
664241383483
/
1000000000000
)
≤
-
(
744896543364644492559
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
664241383483
/
1000000000000
)
≤
-
(
4322513676307216232947
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
664241383483
/
1000000000000
)
≤
-
(
10207502320509313781759
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
664241383483
/
1000000000000
)
≤
-
(
6187441800526216948877
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
664241383483
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
664241383483
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_570_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
664241383483
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_570
:
Uρ
(
664241383483
/
1000000000000
)
≤
-
(
1407853005784725932979
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4261528693017
/
6400000000000
)
≤
-
(
4164072279252109276981
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4261528693017
/
6400000000000
)
≤
-
(
1050097909525026300293
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4261528693017
/
6400000000000
)
≤
-
(
4273412884176880161469
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4261528693017
/
6400000000000
)
≤
-
(
549478980034508885777
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4261528693017
/
6400000000000
)
≤
-
(
4585051419903753167239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4261528693017
/
6400000000000
)
≤
-
(
303907000827735205621
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4261528693017
/
6400000000000
)
≤
-
(
65664971709746093159
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4261528693017
/
6400000000000
)
≤
-
(
1446395180466007862889
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4261528693017
/
6400000000000
)
≤
-
(
324622520228389607363
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4261528693017
/
6400000000000
)
≤
-
(
1482735833462658137863
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4261528693017
/
6400000000000
)
≤
-
(
4301958498077105265997
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4261528693017
/
6400000000000
)
≤
-
(
10156041558459248697277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4261528693017
/
6400000000000
)
≤
-
(
614973329293170409787
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4261528693017
/
6400000000000
)
≤
-
(
16967115179877088640491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4261528693017
/
6400000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_571_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4261528693017
/
6400000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_571
:
Uρ
(
4261528693017
/
6400000000000
)
≤
-
(
435371962683215891223
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
10679781329357
/
16000000000000
)
≤
-
(
2069748762339204639219
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
10679781329357
/
16000000000000
)
≤
-
(
4175727064915972273783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
10679781329357
/
16000000000000
)
≤
-
(
4248566228358807393553
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
10679781329357
/
16000000000000
)
≤
-
(
2185337678456050449133
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
10679781329357
/
16000000000000
)
≤
-
(
2279702231101783945013
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
10679781329357
/
16000000000000
)
≤
-
(
4836119278634238343609
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
10679781329357
/
16000000000000
)
≤
-
(
2612848856110541349761
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
10679781329357
/
16000000000000
)
≤
-
(
5756453563723046984991
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
10679781329357
/
16000000000000
)
≤
-
(
3230461078330779039389
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
10679781329357
/
16000000000000
)
≤
-
(
7378525449464564730863
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
10679781329357
/
16000000000000
)
≤
-
(
4281499084663921275759
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
10679781329357
/
16000000000000
)
≤
-
(
2020984027645203037053
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
10679781329357
/
16000000000000
)
≤
-
(
12225004331939791329417
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
10679781329357
/
16000000000000
)
≤
-
(
16558394140482642990089
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
10679781329357
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_572_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
10679781329357
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_572
:
Uρ
(
10679781329357
/
16000000000000
)
≤
-
(
13837047140647643897
/
20000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21411481852343
/
32000000000000
)
≤
-
(
4114983014388123040979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21411481852343
/
32000000000000
)
≤
-
(
4151123179164884118219
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21411481852343
/
32000000000000
)
≤
-
(
1055945291455342745149
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21411481852343
/
32000000000000
)
≤
-
(
2172791015703680314347
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21411481852343
/
32000000000000
)
≤
-
(
4533823199721012871099
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21411481852343
/
32000000000000
)
≤
-
(
4809796242406969208233
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21411481852343
/
32000000000000
)
≤
-
(
324892103887673495129
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21411481852343
/
32000000000000
)
≤
-
(
5727412354734878097163
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21411481852343
/
32000000000000
)
≤
-
(
803687038877101364811
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21411481852343
/
32000000000000
)
≤
-
(
1835875806775894467537
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21411481852343
/
32000000000000
)
≤
-
(
8522268895539115610217
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21411481852343
/
32000000000000
)
≤
-
(
10054132744104097026937
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21411481852343
/
32000000000000
)
≤
-
(
1215146544888570115507
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21411481852343
/
32000000000000
)
≤
-
(
8122578466833861866631
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21411481852343
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_573_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21411481852343
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_573
:
Uρ
(
21411481852343
/
32000000000000
)
≤
-
(
3437741571450890412419
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5365850261493
/
8000000000000
)
≤
-
(
2045264226863557451219
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5365850261493
/
8000000000000
)
≤
-
(
206328984146057335773
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5365850261493
/
8000000000000
)
≤
-
(
2099528695947786887917
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5365850261493
/
8000000000000
)
≤
-
(
4320551547269413483711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5365850261493
/
8000000000000
)
≤
-
(
450830729631545839137
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5365850261493
/
8000000000000
)
≤
-
(
956708507247560145543
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5365850261493
/
8000000000000
)
≤
-
(
5170925165050416482019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5365850261493
/
8000000000000
)
≤
-
(
356153536329907708581
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5365850261493
/
8000000000000
)
≤
-
(
6398172183635422242973
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5365850261493
/
8000000000000
)
≤
-
(
7308611460365759401711
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5365850261493
/
8000000000000
)
≤
-
(
8481727231061772560251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5365850261493
/
8000000000000
)
≤
-
(
625229637354933601691
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5365850261493
/
8000000000000
)
≤
-
(
12078820249414143656001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5365850261493
/
8000000000000
)
≤
-
(
1598140732969455004503
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5365850261493
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_574_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5365850261493
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_574
:
Uρ
(
5365850261493
/
8000000000000
)
≤
-
(
3417392158413140254523
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21515320239601
/
32000000000000
)
≤
-
(
1016533387549429410351
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21515320239601
/
32000000000000
)
≤
-
(
4102096280447662030521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21515320239601
/
32000000000000
)
≤
-
(
4174394604167777532657
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21515320239601
/
32000000000000
)
≤
-
(
4295583590380036756359
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21515320239601
/
32000000000000
)
≤
-
(
448285641842292237797
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21515320239601
/
32000000000000
)
≤
-
(
594669724340460638439
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21515320239601
/
32000000000000
)
≤
-
(
102873036052304889857
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21515320239601
/
32000000000000
)
≤
-
(
708698216798880485127
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21515320239601
/
32000000000000
)
≤
-
(
198967159298271784199
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21515320239601
/
32000000000000
)
≤
-
(
290953964891705276277
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21515320239601
/
32000000000000
)
≤
-
(
4220685632138396378261
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21515320239601
/
32000000000000
)
≤
-
(
9953539452871187747641
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21515320239601
/
32000000000000
)
≤
-
(
6003520311026841393907
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21515320239601
/
32000000000000
)
≤
-
(
15749320931358898036187
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21515320239601
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_575_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21515320239601
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_575
:
Uρ
(
21515320239601
/
32000000000000
)
≤
-
(
5436506260804101737
/
8000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43082559672831
/
64000000000000
)
≤
-
(
2026979189518170120827
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43082559672831
/
64000000000000
)
≤
-
(
2044938511275047845963
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43082559672831
/
64000000000000
)
≤
-
(
4162085986235097085897
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43082559672831
/
64000000000000
)
≤
-
(
4283122962134978443037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43082559672831
/
64000000000000
)
≤
-
(
4470155260503364583741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43082559672831
/
64000000000000
)
≤
-
(
1186072793078736166699
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43082559672831
/
64000000000000
)
≤
-
(
128251079179985541609
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43082559672831
/
64000000000000
)
≤
-
(
2827591000309687841803
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43082559672831
/
64000000000000
)
≤
-
(
3175687617663083390177
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43082559672831
/
64000000000000
)
≤
-
(
3628258085777660704223
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43082559672831
/
64000000000000
)
≤
-
(
4210631164367377930677
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43082559672831
/
64000000000000
)
≤
-
(
7756712472024757971
/
7812500000000000000
)
source
theorem
Zeta5Irrational
.
U_576_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43082559672831
/
64000000000000
)
≤
-
(
5985733507685321610093
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43082559672831
/
64000000000000
)
≤
-
(
15642119863862916581919
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43082559672831
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_576_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43082559672831
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_576
:
Uρ
(
43082559672831
/
64000000000000
)
≤
-
(
211765684898012963771
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2156723943323
/
3200000000000
)
≤
-
(
4041798013437740677517
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2156723943323
/
3200000000000
)
≤
-
(
254854542385908595437
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2156723943323
/
3200000000000
)
≤
-
(
4149792502457496461927
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2156723943323
/
3200000000000
)
≤
-
(
4270677848971521522911
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2156723943323
/
3200000000000
)
≤
-
(
4457470235029769292473
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2156723943323
/
3200000000000
)
≤
-
(
2365620827675887082541
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2156723943323
/
3200000000000
)
≤
-
(
1279113290058657057013
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2156723943323
/
3200000000000
)
≤
-
(
1128159861942127147153
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2156723943323
/
3200000000000
)
≤
-
(
6335826382699116403269
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2156723943323
/
3200000000000
)
≤
-
(
3619607599305394259193
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2156723943323
/
3200000000000
)
≤
-
(
4200599557466197558131
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2156723943323
/
3200000000000
)
≤
-
(
1980744718241945239729
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2156723943323
/
3200000000000
)
≤
-
(
596804995792744646391
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2156723943323
/
3200000000000
)
≤
-
(
3884938065980386746899
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2156723943323
/
3200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_577_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2156723943323
/
3200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_577
:
Uρ
(
2156723943323
/
3200000000000
)
≤
-
(
6757620034057452785879
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
43186398060089
/
64000000000000
)
≤
-
(
4029652417436910217643
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
43186398060089
/
64000000000000
)
≤
-
(
4065483210959910322499
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
43186398060089
/
64000000000000
)
≤
-
(
4137514115657745432343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
43186398060089
/
64000000000000
)
≤
-
(
2129124106141065259827
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
43186398060089
/
64000000000000
)
≤
-
(
1111200325254916125143
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
43186398060089
/
64000000000000
)
≤
-
(
1179552299741664472367
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
43186398060089
/
64000000000000
)
≤
-
(
5102881730426360024451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
43186398060089
/
64000000000000
)
≤
-
(
1125287519865866481021
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
43186398060089
/
64000000000000
)
≤
-
(
6320302456974391084841
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
43186398060089
/
64000000000000
)
≤
-
(
3610973039310716154581
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
43186398060089
/
64000000000000
)
≤
-
(
8381181392621563129199
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
43186398060089
/
64000000000000
)
≤
-
(
9878933738315134485679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
43186398060089
/
64000000000000
)
≤
-
(
2975234050794647865737
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
43186398060089
/
64000000000000
)
≤
-
(
15441627376211997410399
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
43186398060089
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_578_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
43186398060089
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_578
:
Uρ
(
43186398060089
/
64000000000000
)
≤
-
(
6738960652673771386763
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21619158626859
/
32000000000000
)
≤
-
(
2008760777599865418403
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21619158626859
/
32000000000000
)
≤
-
(
506663573084745193583
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21619158626859
/
32000000000000
)
≤
-
(
4125250788795458835007
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21619158626859
/
32000000000000
)
≤
-
(
2122917006801633900917
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21619158626859
/
32000000000000
)
≤
-
(
1108037104411686499443
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21619158626859
/
32000000000000
)
≤
-
(
4705193758468929470479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21619158626859
/
32000000000000
)
≤
-
(
508932882669316172813
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21619158626859
/
32000000000000
)
≤
-
(
5612096807420582264481
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21619158626859
/
32000000000000
)
≤
-
(
6304803375883815152733
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21619158626859
/
32000000000000
)
≤
-
(
1440941737503140562409
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21619158626859
/
32000000000000
)
≤
-
(
4180604466712982170821
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21619158626859
/
32000000000000
)
≤
-
(
9854221817320635336431
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21619158626859
/
32000000000000
)
≤
-
(
741623302233828881753
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21619158626859
/
32000000000000
)
≤
-
(
15347266115033912343549
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21619158626859
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_579_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21619158626859
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_579
:
Uρ
(
21619158626859
/
32000000000000
)
≤
-
(
6720502213295018558049
/
10000000000000000000000
)