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.
Zeta5Irrational
.
Table
.
U42
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Imports
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_508_1
Zeta5Irrational
.
U_508_2
Zeta5Irrational
.
U_508_3
Zeta5Irrational
.
U_508_4
Zeta5Irrational
.
U_508_5
Zeta5Irrational
.
U_508_6
Zeta5Irrational
.
U_508_7
Zeta5Irrational
.
U_508_8
Zeta5Irrational
.
U_508_9
Zeta5Irrational
.
U_508_10
Zeta5Irrational
.
U_508_11
Zeta5Irrational
.
U_508_12
Zeta5Irrational
.
U_508_13
Zeta5Irrational
.
U_508_14
Zeta5Irrational
.
U_508_15
Zeta5Irrational
.
U_508_16
Zeta5Irrational
.
U_508
Zeta5Irrational
.
U_509_1
Zeta5Irrational
.
U_509_2
Zeta5Irrational
.
U_509_3
Zeta5Irrational
.
U_509_4
Zeta5Irrational
.
U_509_5
Zeta5Irrational
.
U_509_6
Zeta5Irrational
.
U_509_7
Zeta5Irrational
.
U_509_8
Zeta5Irrational
.
U_509_9
Zeta5Irrational
.
U_509_10
Zeta5Irrational
.
U_509_11
Zeta5Irrational
.
U_509_12
Zeta5Irrational
.
U_509_13
Zeta5Irrational
.
U_509_14
Zeta5Irrational
.
U_509_15
Zeta5Irrational
.
U_509_16
Zeta5Irrational
.
U_509
Zeta5Irrational
.
U_510_1
Zeta5Irrational
.
U_510_2
Zeta5Irrational
.
U_510_3
Zeta5Irrational
.
U_510_4
Zeta5Irrational
.
U_510_5
Zeta5Irrational
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U_510_6
Zeta5Irrational
.
U_510_7
Zeta5Irrational
.
U_510_8
Zeta5Irrational
.
U_510_9
Zeta5Irrational
.
U_510_10
Zeta5Irrational
.
U_510_11
Zeta5Irrational
.
U_510_12
Zeta5Irrational
.
U_510_13
Zeta5Irrational
.
U_510_14
Zeta5Irrational
.
U_510_15
Zeta5Irrational
.
U_510_16
Zeta5Irrational
.
U_510
Zeta5Irrational
.
U_511_1
Zeta5Irrational
.
U_511_2
Zeta5Irrational
.
U_511_3
Zeta5Irrational
.
U_511_4
Zeta5Irrational
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U_511_5
Zeta5Irrational
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U_511_6
Zeta5Irrational
.
U_511_7
Zeta5Irrational
.
U_511_8
Zeta5Irrational
.
U_511_9
Zeta5Irrational
.
U_511_10
Zeta5Irrational
.
U_511_11
Zeta5Irrational
.
U_511_12
Zeta5Irrational
.
U_511_13
Zeta5Irrational
.
U_511_14
Zeta5Irrational
.
U_511_15
Zeta5Irrational
.
U_511_16
Zeta5Irrational
.
U_511
Zeta5Irrational
.
U_512_1
Zeta5Irrational
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U_512_2
Zeta5Irrational
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U_512_3
Zeta5Irrational
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U_512_4
Zeta5Irrational
.
U_512_5
Zeta5Irrational
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U_512_6
Zeta5Irrational
.
U_512_7
Zeta5Irrational
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U_512_8
Zeta5Irrational
.
U_512_9
Zeta5Irrational
.
U_512_10
Zeta5Irrational
.
U_512_11
Zeta5Irrational
.
U_512_12
Zeta5Irrational
.
U_512_13
Zeta5Irrational
.
U_512_14
Zeta5Irrational
.
U_512_15
Zeta5Irrational
.
U_512_16
Zeta5Irrational
.
U_512
Zeta5Irrational
.
U_513_1
Zeta5Irrational
.
U_513_2
Zeta5Irrational
.
U_513_3
Zeta5Irrational
.
U_513_4
Zeta5Irrational
.
U_513_5
Zeta5Irrational
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U_513_6
Zeta5Irrational
.
U_513_7
Zeta5Irrational
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U_513_8
Zeta5Irrational
.
U_513_9
Zeta5Irrational
.
U_513_10
Zeta5Irrational
.
U_513_11
Zeta5Irrational
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U_513_12
Zeta5Irrational
.
U_513_13
Zeta5Irrational
.
U_513_14
Zeta5Irrational
.
U_513_15
Zeta5Irrational
.
U_513_16
Zeta5Irrational
.
U_513
Zeta5Irrational
.
U_514_1
Zeta5Irrational
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U_514_2
Zeta5Irrational
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U_514_3
Zeta5Irrational
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U_514_4
Zeta5Irrational
.
U_514_5
Zeta5Irrational
.
U_514_6
Zeta5Irrational
.
U_514_7
Zeta5Irrational
.
U_514_8
Zeta5Irrational
.
U_514_9
Zeta5Irrational
.
U_514_10
Zeta5Irrational
.
U_514_11
Zeta5Irrational
.
U_514_12
Zeta5Irrational
.
U_514_13
Zeta5Irrational
.
U_514_14
Zeta5Irrational
.
U_514_15
Zeta5Irrational
.
U_514_16
Zeta5Irrational
.
U_514
Zeta5Irrational
.
U_515_1
Zeta5Irrational
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U_515_2
Zeta5Irrational
.
U_515_3
Zeta5Irrational
.
U_515_4
Zeta5Irrational
.
U_515_5
Zeta5Irrational
.
U_515_6
Zeta5Irrational
.
U_515_7
Zeta5Irrational
.
U_515_8
Zeta5Irrational
.
U_515_9
Zeta5Irrational
.
U_515_10
Zeta5Irrational
.
U_515_11
Zeta5Irrational
.
U_515_12
Zeta5Irrational
.
U_515_13
Zeta5Irrational
.
U_515_14
Zeta5Irrational
.
U_515_15
Zeta5Irrational
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U_515_16
Zeta5Irrational
.
U_515
Zeta5Irrational
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U_516_1
Zeta5Irrational
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U_516_2
Zeta5Irrational
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U_516_3
Zeta5Irrational
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U_516_4
Zeta5Irrational
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U_516_5
Zeta5Irrational
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U_516_6
Zeta5Irrational
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U_516_7
Zeta5Irrational
.
U_516_8
Zeta5Irrational
.
U_516_9
Zeta5Irrational
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U_516_10
Zeta5Irrational
.
U_516_11
Zeta5Irrational
.
U_516_12
Zeta5Irrational
.
U_516_13
Zeta5Irrational
.
U_516_14
Zeta5Irrational
.
U_516_15
Zeta5Irrational
.
U_516_16
Zeta5Irrational
.
U_516
Zeta5Irrational
.
U_517_1
Zeta5Irrational
.
U_517_2
Zeta5Irrational
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U_517_3
Zeta5Irrational
.
U_517_4
Zeta5Irrational
.
U_517_5
Zeta5Irrational
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U_517_6
Zeta5Irrational
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U_517_7
Zeta5Irrational
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U_517_8
Zeta5Irrational
.
U_517_9
Zeta5Irrational
.
U_517_10
Zeta5Irrational
.
U_517_11
Zeta5Irrational
.
U_517_12
Zeta5Irrational
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U_517_13
Zeta5Irrational
.
U_517_14
Zeta5Irrational
.
U_517_15
Zeta5Irrational
.
U_517_16
Zeta5Irrational
.
U_517
Zeta5Irrational
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U_518_1
Zeta5Irrational
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U_518_2
Zeta5Irrational
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U_518_3
Zeta5Irrational
.
U_518_4
Zeta5Irrational
.
U_518_5
Zeta5Irrational
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U_518_6
Zeta5Irrational
.
U_518_7
Zeta5Irrational
.
U_518_8
Zeta5Irrational
.
U_518_9
Zeta5Irrational
.
U_518_10
Zeta5Irrational
.
U_518_11
Zeta5Irrational
.
U_518_12
Zeta5Irrational
.
U_518_13
Zeta5Irrational
.
U_518_14
Zeta5Irrational
.
U_518_15
Zeta5Irrational
.
U_518_16
Zeta5Irrational
.
U_518
Zeta5Irrational
.
U_519_1
Zeta5Irrational
.
U_519_2
Zeta5Irrational
.
U_519_3
Zeta5Irrational
.
U_519_4
Zeta5Irrational
.
U_519_5
Zeta5Irrational
.
U_519_6
Zeta5Irrational
.
U_519_7
Zeta5Irrational
.
U_519_8
Zeta5Irrational
.
U_519_9
Zeta5Irrational
.
U_519_10
Zeta5Irrational
.
U_519_11
Zeta5Irrational
.
U_519_12
Zeta5Irrational
.
U_519_13
Zeta5Irrational
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U_519_14
Zeta5Irrational
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U_519_15
Zeta5Irrational
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U_519_16
Zeta5Irrational
.
U_519
Certified arcsine potential bounds (U42)
#
source
theorem
Zeta5Irrational
.
U_508_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
17856057682947
/
32000000000000
)
≤
-
(
5950243241019627244583
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
17856057682947
/
32000000000000
)
≤
-
(
1498432447403128669001
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
17856057682947
/
32000000000000
)
≤
-
(
3040652460816649757537
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
17856057682947
/
32000000000000
)
≤
-
(
3114282215668375516407
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
17856057682947
/
32000000000000
)
≤
-
(
645730810402355959231
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
17856057682947
/
32000000000000
)
≤
-
(
271814105316008456471
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
17856057682947
/
32000000000000
)
≤
-
(
7277132358554394793971
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
17856057682947
/
32000000000000
)
≤
-
(
7946056761336366334497
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
17856057682947
/
32000000000000
)
≤
-
(
1772195515441329619083
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
17856057682947
/
32000000000000
)
≤
-
(
10114145609446987792001
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
17856057682947
/
32000000000000
)
≤
-
(
1189203117663709979711
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
17856057682947
/
32000000000000
)
≤
-
(
2965401357108477598221
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
17856057682947
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
17856057682947
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
17856057682947
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_508_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
17856057682947
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_508
:
Uρ
(
17856057682947
/
32000000000000
)
≤
-
(
9335334772364821229953
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
35792002247929
/
64000000000000
)
≤
-
(
5927637299159037206243
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
35792002247929
/
64000000000000
)
≤
-
(
5971024764218213295379
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
35792002247929
/
64000000000000
)
≤
-
(
6058398365511501288333
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
35792002247929
/
64000000000000
)
≤
-
(
620531287292092823143
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
35792002247929
/
64000000000000
)
≤
-
(
201047027513926073651
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
35792002247929
/
64000000000000
)
≤
-
(
1692674274647282850247
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
35792002247929
/
64000000000000
)
≤
-
(
3625589665429885931267
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
35792002247929
/
64000000000000
)
≤
-
(
7918120550604440884439
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
35792002247929
/
64000000000000
)
≤
-
(
220748048573075527627
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
35792002247929
/
64000000000000
)
≤
-
(
157466091658155803863
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
35792002247929
/
64000000000000
)
≤
-
(
11845313439531267758087
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
35792002247929
/
64000000000000
)
≤
-
(
14746519519992178665709
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
35792002247929
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
35792002247929
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
35792002247929
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_509_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
35792002247929
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_509
:
Uρ
(
35792002247929
/
64000000000000
)
≤
-
(
1861727304759575972879
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
8967972282491
/
16000000000000
)
≤
-
(
5905082345456817827057
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
8967972282491
/
16000000000000
)
≤
-
(
5948371177474891842903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
8967972282491
/
16000000000000
)
≤
-
(
150888604337680130333
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
8967972282491
/
16000000000000
)
≤
-
(
154552882294875529027
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
8967972282491
/
16000000000000
)
≤
-
(
100152473289647147279
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
8967972282491
/
16000000000000
)
≤
-
(
843262811570624237493
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
8967972282491
/
16000000000000
)
≤
-
(
7225294229954618860193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
8967972282491
/
16000000000000
)
≤
-
(
1578052819405799303733
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
8967972282491
/
16000000000000
)
≤
-
(
2199741917220122414509
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
8967972282491
/
16000000000000
)
≤
-
(
2510415298336719111113
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
8967972282491
/
16000000000000
)
≤
-
(
11798874026815627584347
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
8967972282491
/
16000000000000
)
≤
-
(
57293994566708123539
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_510_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
8967972282491
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
8967972282491
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
8967972282491
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_510_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
8967972282491
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_510
:
Uρ
(
8967972282491
/
16000000000000
)
≤
-
(
2320524321799194358933
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
35951776011999
/
64000000000000
)
≤
-
(
5882578150418441128189
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
35951776011999
/
64000000000000
)
≤
-
(
592576879682269358441
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
35951776011999
/
64000000000000
)
≤
-
(
300637105334994580849
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
35951776011999
/
64000000000000
)
≤
-
(
6158971437747780164537
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
35951776011999
/
64000000000000
)
≤
-
(
1277213612986815760097
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
35951776011999
/
64000000000000
)
≤
-
(
6721568513029647007487
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
35951776011999
/
64000000000000
)
≤
-
(
359973834867452409587
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
35951776011999
/
64000000000000
)
≤
-
(
491405433481033414363
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
35951776011999
/
64000000000000
)
≤
-
(
4384057031379989668599
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
35951776011999
/
64000000000000
)
≤
-
(
10005638286124311866309
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
35951776011999
/
64000000000000
)
≤
-
(
11752709006505664412089
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
35951776011999
/
64000000000000
)
≤
-
(
3647296514749162681049
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
35951776011999
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
35951776011999
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
35951776011999
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_511_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
35951776011999
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_511
:
Uρ
(
35951776011999
/
64000000000000
)
≤
-
(
9255712914413268703163
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18015831447017
/
32000000000000
)
≤
-
(
1465031121523832597231
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18015831447017
/
32000000000000
)
≤
-
(
368951086954716155551
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18015831447017
/
32000000000000
)
≤
-
(
5989991927800893399251
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18015831447017
/
32000000000000
)
≤
-
(
6135881062304958525311
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18015831447017
/
32000000000000
)
≤
-
(
318121696809580573499
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18015831447017
/
32000000000000
)
≤
-
(
1674273715108017435577
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18015831447017
/
32000000000000
)
≤
-
(
7173726377413230075053
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18015831447017
/
32000000000000
)
≤
-
(
1958697151459010594993
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18015831447017
/
32000000000000
)
≤
-
(
1747472087922510415983
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18015831447017
/
32000000000000
)
≤
-
(
9969759858022321014881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18015831447017
/
32000000000000
)
≤
-
(
2926703634558700865789
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18015831447017
/
32000000000000
)
≤
-
(
1814030401212492219359
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18015831447017
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18015831447017
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18015831447017
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_512_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18015831447017
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_512
:
Uρ
(
18015831447017
/
32000000000000
)
≤
-
(
461473975122939147761
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
36111549776069
/
64000000000000
)
≤
-
(
2918860563035500800487
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
36111549776069
/
64000000000000
)
≤
-
(
2940358365703278109947
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
36111549776069
/
64000000000000
)
≤
-
(
18647791878558030403
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
36111549776069
/
64000000000000
)
≤
-
(
1222568783742651878327
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
36111549776069
/
64000000000000
)
≤
-
(
396178477423036181643
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
36111549776069
/
64000000000000
)
≤
-
(
133453624748920267399
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
36111549776069
/
64000000000000
)
≤
-
(
7148042917346742296531
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
36111549776069
/
64000000000000
)
≤
-
(
1561433730153791004607
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
36111549776069
/
64000000000000
)
≤
-
(
8706706121751562856749
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
36111549776069
/
64000000000000
)
≤
-
(
9934024640806293113911
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
36111549776069
/
64000000000000
)
≤
-
(
5830593435133916158567
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
36111549776069
/
64000000000000
)
≤
-
(
288727808611259611257
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
36111549776069
/
64000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
36111549776069
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
36111549776069
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_513_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
36111549776069
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_513
:
Uρ
(
36111549776069
/
64000000000000
)
≤
-
(
4601696685902667401401
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4523929582263
/
8000000000000
)
≤
-
(
290768392272368305341
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4523929582263
/
8000000000000
)
≤
-
(
234330663573394913113
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4523929582263
/
8000000000000
)
≤
-
(
2972323146321819319241
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4523929582263
/
8000000000000
)
≤
-
(
3044929880962231886749
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4523929582263
/
8000000000000
)
≤
-
(
6315332909008076166521
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4523929582263
/
8000000000000
)
≤
-
(
6648327348947931113759
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4523929582263
/
8000000000000
)
≤
-
(
7122425967148344153303
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4523929582263
/
8000000000000
)
≤
-
(
3889813308929943655439
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4523929582263
/
8000000000000
)
≤
-
(
8676150438646844351813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4523929582263
/
8000000000000
)
≤
-
(
395937255363209419699
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4523929582263
/
8000000000000
)
≤
-
(
5807911168319489409469
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4523929582263
/
8000000000000
)
≤
-
(
179519835636495302763
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4523929582263
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4523929582263
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4523929582263
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_514_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4523929582263
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_514
:
Uρ
(
4523929582263
/
8000000000000
)
≤
-
(
9177451047149676338567
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18175605211087
/
32000000000000
)
≤
-
(
2885405315160330269137
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18175605211087
/
32000000000000
)
≤
-
(
1162703390940672187211
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18175605211087
/
32000000000000
)
≤
-
(
5899505401803822401993
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18175605211087
/
32000000000000
)
≤
-
(
6044049436994200835527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18175605211087
/
32000000000000
)
≤
-
(
6268453107162976316631
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18175605211087
/
32000000000000
)
≤
-
(
6599797605804451610419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18175605211087
/
32000000000000
)
≤
-
(
7071390210168205466577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18175605211087
/
32000000000000
)
≤
-
(
1544954905579950569431
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18175605211087
/
32000000000000
)
≤
-
(
1723066465949345500237
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18175605211087
/
32000000000000
)
≤
-
(
2456916459404556892093
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18175605211087
/
32000000000000
)
≤
-
(
11525868421030432666923
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18175605211087
/
32000000000000
)
≤
-
(
14214976197084333418893
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18175605211087
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18175605211087
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18175605211087
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_515_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18175605211087
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_515
:
Uρ
(
18175605211087
/
32000000000000
)
≤
-
(
9125984834938814482263
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9127746046561
/
16000000000000
)
≤
-
(
572645107138737305937
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9127746046561
/
16000000000000
)
≤
-
(
5768966694719913615483
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9127746046561
/
16000000000000
)
≤
-
(
1170913482845522262301
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9127746046561
/
16000000000000
)
≤
-
(
5998448160638532935769
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9127746046561
/
16000000000000
)
≤
-
(
6221792458419681924697
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9127746046561
/
16000000000000
)
≤
-
(
6551503313245521501489
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9127746046561
/
16000000000000
)
≤
-
(
1755154090330776418639
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9127746046561
/
16000000000000
)
≤
-
(
7670228793910646247569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9127746046561
/
16000000000000
)
≤
-
(
34219603551607253439
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9127746046561
/
16000000000000
)
≤
-
(
9757453559173009449761
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9127746046561
/
16000000000000
)
≤
-
(
5718462538789883425289
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9127746046561
/
16000000000000
)
≤
-
(
7036065505652730763057
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9127746046561
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9127746046561
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9127746046561
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_516_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9127746046561
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_516
:
Uρ
(
9127746046561
/
16000000000000
)
≤
-
(
453752827101751907257
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18335378975157
/
32000000000000
)
≤
-
(
568228742276248743139
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18335378975157
/
32000000000000
)
≤
-
(
2862307020290630033483
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18335378975157
/
32000000000000
)
≤
-
(
1161966102717595133409
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18335378975157
/
32000000000000
)
≤
-
(
5953054032277824673143
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18335378975157
/
32000000000000
)
≤
-
(
3087674459787515912569
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18335378975157
/
32000000000000
)
≤
-
(
1300688437478143619327
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18335378975157
/
32000000000000
)
≤
-
(
6970101718382483444987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18335378975157
/
32000000000000
)
≤
-
(
304639437420347823563
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18335378975157
/
32000000000000
)
≤
-
(
1698970199231094459177
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18335378975157
/
32000000000000
)
≤
-
(
4843892576607819671637
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18335378975157
/
32000000000000
)
≤
-
(
2269793160077358042791
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18335378975157
/
32000000000000
)
≤
-
(
13932802330277890281229
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18335378975157
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18335378975157
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18335378975157
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_517_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18335378975157
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_517
:
Uρ
(
18335378975157
/
32000000000000
)
≤
-
(
451232209478411826957
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2301908232149
/
4000000000000
)
≤
-
(
704789745198935614057
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2301908232149
/
4000000000000
)
≤
-
(
568045724692035134871
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2301908232149
/
4000000000000
)
≤
-
(
5765292907843755640569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2301908232149
/
4000000000000
)
≤
-
(
184620786785993711109
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2301908232149
/
4000000000000
)
≤
-
(
1225824095183702422711
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2301908232149
/
4000000000000
)
≤
-
(
403475748598469510607
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2301908232149
/
4000000000000
)
≤
-
(
6919843623735854358829
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2301908232149
/
4000000000000
)
≤
-
(
7562042532521178980667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2301908232149
/
4000000000000
)
≤
-
(
843517764254758507903
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2301908232149
/
4000000000000
)
≤
-
(
9618651478160744289729
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2301908232149
/
4000000000000
)
≤
-
(
2252393043687111150489
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2301908232149
/
4000000000000
)
≤
-
(
6898383884473223033613
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2301908232149
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2301908232149
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2301908232149
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_518_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2301908232149
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_518
:
Uρ
(
2301908232149
/
4000000000000
)
≤
-
(
8974727806232595687023
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
18495152739227
/
32000000000000
)
≤
-
(
2797270493823523605897
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
18495152739227
/
32000000000000
)
≤
-
(
5636494591394130888957
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
18495152739227
/
32000000000000
)
≤
-
(
178779775900266116243
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
18495152739227
/
32000000000000
)
≤
-
(
5862879745853656565577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
18495152739227
/
32000000000000
)
≤
-
(
6083105140703991195419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
18495152739227
/
32000000000000
)
≤
-
(
3204005232853766005531
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
18495152739227
/
32000000000000
)
≤
-
(
214682482910002087813
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
18495152739227
/
32000000000000
)
≤
-
(
3754197611789808260037
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
18495152739227
/
32000000000000
)
≤
-
(
1046984489645930925899
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
18495152739227
/
32000000000000
)
≤
-
(
4775021818429599099321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
18495152739227
/
32000000000000
)
≤
-
(
11175899028160388580739
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
18495152739227
/
32000000000000
)
≤
-
(
13663827683608571830467
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
18495152739227
/
32000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
18495152739227
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
18495152739227
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_519_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
18495152739227
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_519
:
Uρ
(
18495152739227
/
32000000000000
)
≤
-
(
1785057830144805199833
/
2000000000000000000000
)