Documentation
LeanPool
.
Zeta5Irrational
.
Table
.
U01
Search
return to top
source
Imports
Init
LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_12_1
Zeta5Irrational
.
U_12_2
Zeta5Irrational
.
U_12_3
Zeta5Irrational
.
U_12_4
Zeta5Irrational
.
U_12_5
Zeta5Irrational
.
U_12_6
Zeta5Irrational
.
U_12_7
Zeta5Irrational
.
U_12_8
Zeta5Irrational
.
U_12_9
Zeta5Irrational
.
U_12_10
Zeta5Irrational
.
U_12_11
Zeta5Irrational
.
U_12_12
Zeta5Irrational
.
U_12_13
Zeta5Irrational
.
U_12_14
Zeta5Irrational
.
U_12_15
Zeta5Irrational
.
U_12_16
Zeta5Irrational
.
U_12
Zeta5Irrational
.
U_13_1
Zeta5Irrational
.
U_13_2
Zeta5Irrational
.
U_13_3
Zeta5Irrational
.
U_13_4
Zeta5Irrational
.
U_13_5
Zeta5Irrational
.
U_13_6
Zeta5Irrational
.
U_13_7
Zeta5Irrational
.
U_13_8
Zeta5Irrational
.
U_13_9
Zeta5Irrational
.
U_13_10
Zeta5Irrational
.
U_13_11
Zeta5Irrational
.
U_13_12
Zeta5Irrational
.
U_13_13
Zeta5Irrational
.
U_13_14
Zeta5Irrational
.
U_13_15
Zeta5Irrational
.
U_13_16
Zeta5Irrational
.
U_13
Zeta5Irrational
.
U_14_1
Zeta5Irrational
.
U_14_2
Zeta5Irrational
.
U_14_3
Zeta5Irrational
.
U_14_4
Zeta5Irrational
.
U_14_5
Zeta5Irrational
.
U_14_6
Zeta5Irrational
.
U_14_7
Zeta5Irrational
.
U_14_8
Zeta5Irrational
.
U_14_9
Zeta5Irrational
.
U_14_10
Zeta5Irrational
.
U_14_11
Zeta5Irrational
.
U_14_12
Zeta5Irrational
.
U_14_13
Zeta5Irrational
.
U_14_14
Zeta5Irrational
.
U_14_15
Zeta5Irrational
.
U_14_16
Zeta5Irrational
.
U_14
Zeta5Irrational
.
U_15_1
Zeta5Irrational
.
U_15_2
Zeta5Irrational
.
U_15_3
Zeta5Irrational
.
U_15_4
Zeta5Irrational
.
U_15_5
Zeta5Irrational
.
U_15_6
Zeta5Irrational
.
U_15_7
Zeta5Irrational
.
U_15_8
Zeta5Irrational
.
U_15_9
Zeta5Irrational
.
U_15_10
Zeta5Irrational
.
U_15_11
Zeta5Irrational
.
U_15_12
Zeta5Irrational
.
U_15_13
Zeta5Irrational
.
U_15_14
Zeta5Irrational
.
U_15_15
Zeta5Irrational
.
U_15_16
Zeta5Irrational
.
U_15
Zeta5Irrational
.
U_16_1
Zeta5Irrational
.
U_16_2
Zeta5Irrational
.
U_16_3
Zeta5Irrational
.
U_16_4
Zeta5Irrational
.
U_16_5
Zeta5Irrational
.
U_16_6
Zeta5Irrational
.
U_16_7
Zeta5Irrational
.
U_16_8
Zeta5Irrational
.
U_16_9
Zeta5Irrational
.
U_16_10
Zeta5Irrational
.
U_16_11
Zeta5Irrational
.
U_16_12
Zeta5Irrational
.
U_16_13
Zeta5Irrational
.
U_16_14
Zeta5Irrational
.
U_16_15
Zeta5Irrational
.
U_16_16
Zeta5Irrational
.
U_16
Zeta5Irrational
.
U_17_1
Zeta5Irrational
.
U_17_2
Zeta5Irrational
.
U_17_3
Zeta5Irrational
.
U_17_4
Zeta5Irrational
.
U_17_5
Zeta5Irrational
.
U_17_6
Zeta5Irrational
.
U_17_7
Zeta5Irrational
.
U_17_8
Zeta5Irrational
.
U_17_9
Zeta5Irrational
.
U_17_10
Zeta5Irrational
.
U_17_11
Zeta5Irrational
.
U_17_12
Zeta5Irrational
.
U_17_13
Zeta5Irrational
.
U_17_14
Zeta5Irrational
.
U_17_15
Zeta5Irrational
.
U_17_16
Zeta5Irrational
.
U_17
Zeta5Irrational
.
U_18_1
Zeta5Irrational
.
U_18_2
Zeta5Irrational
.
U_18_3
Zeta5Irrational
.
U_18_4
Zeta5Irrational
.
U_18_5
Zeta5Irrational
.
U_18_6
Zeta5Irrational
.
U_18_7
Zeta5Irrational
.
U_18_8
Zeta5Irrational
.
U_18_9
Zeta5Irrational
.
U_18_10
Zeta5Irrational
.
U_18_11
Zeta5Irrational
.
U_18_12
Zeta5Irrational
.
U_18_13
Zeta5Irrational
.
U_18_14
Zeta5Irrational
.
U_18_15
Zeta5Irrational
.
U_18_16
Zeta5Irrational
.
U_18
Zeta5Irrational
.
U_19_1
Zeta5Irrational
.
U_19_2
Zeta5Irrational
.
U_19_3
Zeta5Irrational
.
U_19_4
Zeta5Irrational
.
U_19_5
Zeta5Irrational
.
U_19_6
Zeta5Irrational
.
U_19_7
Zeta5Irrational
.
U_19_8
Zeta5Irrational
.
U_19_9
Zeta5Irrational
.
U_19_10
Zeta5Irrational
.
U_19_11
Zeta5Irrational
.
U_19_12
Zeta5Irrational
.
U_19_13
Zeta5Irrational
.
U_19_14
Zeta5Irrational
.
U_19_15
Zeta5Irrational
.
U_19_16
Zeta5Irrational
.
U_19
Zeta5Irrational
.
U_20_1
Zeta5Irrational
.
U_20_2
Zeta5Irrational
.
U_20_3
Zeta5Irrational
.
U_20_4
Zeta5Irrational
.
U_20_5
Zeta5Irrational
.
U_20_6
Zeta5Irrational
.
U_20_7
Zeta5Irrational
.
U_20_8
Zeta5Irrational
.
U_20_9
Zeta5Irrational
.
U_20_10
Zeta5Irrational
.
U_20_11
Zeta5Irrational
.
U_20_12
Zeta5Irrational
.
U_20_13
Zeta5Irrational
.
U_20_14
Zeta5Irrational
.
U_20_15
Zeta5Irrational
.
U_20_16
Zeta5Irrational
.
U_20
Zeta5Irrational
.
U_21_1
Zeta5Irrational
.
U_21_2
Zeta5Irrational
.
U_21_3
Zeta5Irrational
.
U_21_4
Zeta5Irrational
.
U_21_5
Zeta5Irrational
.
U_21_6
Zeta5Irrational
.
U_21_7
Zeta5Irrational
.
U_21_8
Zeta5Irrational
.
U_21_9
Zeta5Irrational
.
U_21_10
Zeta5Irrational
.
U_21_11
Zeta5Irrational
.
U_21_12
Zeta5Irrational
.
U_21_13
Zeta5Irrational
.
U_21_14
Zeta5Irrational
.
U_21_15
Zeta5Irrational
.
U_21_16
Zeta5Irrational
.
U_21
Zeta5Irrational
.
U_22_1
Zeta5Irrational
.
U_22_2
Zeta5Irrational
.
U_22_3
Zeta5Irrational
.
U_22_4
Zeta5Irrational
.
U_22_5
Zeta5Irrational
.
U_22_6
Zeta5Irrational
.
U_22_7
Zeta5Irrational
.
U_22_8
Zeta5Irrational
.
U_22_9
Zeta5Irrational
.
U_22_10
Zeta5Irrational
.
U_22_11
Zeta5Irrational
.
U_22_12
Zeta5Irrational
.
U_22_13
Zeta5Irrational
.
U_22_14
Zeta5Irrational
.
U_22_15
Zeta5Irrational
.
U_22_16
Zeta5Irrational
.
U_22
Zeta5Irrational
.
U_23_1
Zeta5Irrational
.
U_23_2
Zeta5Irrational
.
U_23_3
Zeta5Irrational
.
U_23_4
Zeta5Irrational
.
U_23_5
Zeta5Irrational
.
U_23_6
Zeta5Irrational
.
U_23_7
Zeta5Irrational
.
U_23_8
Zeta5Irrational
.
U_23_9
Zeta5Irrational
.
U_23_10
Zeta5Irrational
.
U_23_11
Zeta5Irrational
.
U_23_12
Zeta5Irrational
.
U_23_13
Zeta5Irrational
.
U_23_14
Zeta5Irrational
.
U_23_15
Zeta5Irrational
.
U_23_16
Zeta5Irrational
.
U_23
Certified arcsine potential bounds (U01)
#
source
theorem
Zeta5Irrational
.
U_12_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
496117379
/
2000000000000
)
≤
-
(
51279014775995128440791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
496117379
/
2000000000000
)
≤
-
(
3094041904103170921061
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
496117379
/
2000000000000
)
≤
-
(
23350817492635683984117
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
496117379
/
2000000000000
)
≤
-
(
8663759421672724895473
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
496117379
/
2000000000000
)
≤
-
(
39733556029110319524967
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
496117379
/
2000000000000
)
≤
-
(
36207282453746924592843
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
496117379
/
2000000000000
)
≤
-
(
32923939525185939772853
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
496117379
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
496117379
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
496117379
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
496117379
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
496117379
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
496117379
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
496117379
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
496117379
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_12_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
496117379
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_12
:
Uρ
(
496117379
/
2000000000000
)
≤
-
(
27776595649486878085457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
283911191
/
1000000000000
)
≤
-
(
25671310519013681683207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
283911191
/
1000000000000
)
≤
-
(
9913844635044356752717
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
283911191
/
1000000000000
)
≤
-
(
46768288274873095600687
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
283911191
/
1000000000000
)
≤
-
(
5423700856563990487439
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
283911191
/
1000000000000
)
≤
-
(
39812819146312822009509
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
283911191
/
1000000000000
)
≤
-
(
18153609865494868493647
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
283911191
/
1000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
283911191
/
1000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
283911191
/
1000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
283911191
/
1000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
283911191
/
1000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
283911191
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
283911191
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
283911191
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
283911191
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_13_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
283911191
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_13
:
Uρ
(
283911191
/
1000000000000
)
≤
-
(
5565255693326323982243
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
170058951
/
500000000000
)
≤
-
(
5144324067033277739057
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
170058951
/
500000000000
)
≤
-
(
496717399318518904317
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
170058951
/
500000000000
)
≤
-
(
1875002690401424918243
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
170058951
/
500000000000
)
≤
-
(
5438137640616013885629
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
170058951
/
500000000000
)
≤
-
(
39947577872317960521831
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
170058951
/
500000000000
)
≤
-
(
36504445610949767396391
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
170058951
/
500000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
170058951
/
500000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
170058951
/
500000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
170058951
/
500000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
170058951
/
500000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
170058951
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
170058951
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
170058951
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
170058951
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_14_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
170058951
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_14
:
Uρ
(
170058951
/
500000000000
)
≤
-
(
13933261935333362960321
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
396324613
/
1000000000000
)
≤
-
(
10308997249903148058101
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
396324613
/
1000000000000
)
≤
-
(
24887961647494144053291
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
396324613
/
1000000000000
)
≤
-
(
11746208074433576911541
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
396324613
/
1000000000000
)
≤
-
(
43626843011011594664449
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
396324613
/
1000000000000
)
≤
-
(
20049749814838098711663
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
396324613
/
1000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
396324613
/
1000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
396324613
/
1000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
396324613
/
1000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
396324613
/
1000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
396324613
/
1000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
396324613
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
396324613
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
396324613
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
396324613
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_15_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
396324613
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_15
:
Uρ
(
396324613
/
1000000000000
)
≤
-
(
27930518333896095285283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
974522519
/
2000000000000
)
≤
-
(
51712055896552965688933
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
974522519
/
2000000000000
)
≤
-
(
49948197000145039205691
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
974522519
/
2000000000000
)
≤
-
(
11792350042914402417241
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
974522519
/
2000000000000
)
≤
-
(
219200189839688302473
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
974522519
/
2000000000000
)
≤
-
(
808167918466123975469
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
974522519
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
974522519
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
974522519
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
974522519
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
974522519
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
974522519
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
974522519
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
974522519
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
974522519
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
974522519
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_16_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
974522519
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_16
:
Uρ
(
974522519
/
2000000000000
)
≤
-
(
27979010994860448204283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
289098953
/
500000000000
)
≤
-
(
1037645395330397781579
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
289098953
/
500000000000
)
≤
-
(
50125360529440552437197
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
289098953
/
500000000000
)
≤
-
(
47363740868116265483369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
289098953
/
500000000000
)
≤
-
(
11019964131301389298539
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
289098953
/
500000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
289098953
/
500000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
289098953
/
500000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
289098953
/
500000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
289098953
/
500000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
289098953
/
500000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
289098953
/
500000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
289098953
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
289098953
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
289098953
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
289098953
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_17_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
289098953
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_17
:
Uρ
(
289098953
/
500000000000
)
≤
-
(
14029924784689781065817
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
729961631
/
1000000000000
)
≤
-
(
52173705525642853674791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
729961631
/
1000000000000
)
≤
-
(
157603058690652939389
/
31250000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
729961631
/
1000000000000
)
≤
-
(
5964321618170938271907
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
729961631
/
1000000000000
)
≤
-
(
44582338407334756483981
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
729961631
/
1000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
729961631
/
1000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
729961631
/
1000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
729961631
/
1000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
729961631
/
1000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
729961631
/
1000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
729961631
/
1000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
729961631
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
729961631
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
729961631
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
729961631
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_18_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
729961631
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_18
:
Uρ
(
729961631
/
1000000000000
)
≤
-
(
1124651582364191246041
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1611686987
/
2000000000000
)
≤
-
(
26161527144129535042071
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1611686987
/
2000000000000
)
≤
-
(
10118588778586567237301
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1611686987
/
2000000000000
)
≤
-
(
47905346243074077148493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1611686987
/
2000000000000
)
≤
-
(
8987625693749818873013
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1611686987
/
2000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1611686987
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1611686987
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1611686987
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1611686987
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1611686987
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1611686987
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1611686987
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1611686987
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1611686987
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1611686987
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_19_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1611686987
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_19
:
Uρ
(
1611686987
/
2000000000000
)
≤
-
(
1126058948715908662283
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
220431339
/
250000000000
)
≤
-
(
10494988835400103718169
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
220431339
/
250000000000
)
≤
-
(
50757420127736585768143
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
220431339
/
250000000000
)
≤
-
(
24054501625710163523737
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
220431339
/
250000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
220431339
/
250000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
220431339
/
250000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
220431339
/
250000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
220431339
/
250000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
220431339
/
250000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
220431339
/
250000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
220431339
/
250000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
220431339
/
250000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
220431339
/
250000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
220431339
/
250000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
220431339
/
250000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_20_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
220431339
/
250000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_20
:
Uρ
(
220431339
/
250000000000
)
≤
-
(
7054177370793323835461
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4047462733
/
4000000000000
)
≤
-
(
329635258503986697477
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4047462733
/
4000000000000
)
≤
-
(
25525528995361187317657
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4047462733
/
4000000000000
)
≤
-
(
48497352170934822805119
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4047462733
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4047462733
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4047462733
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4047462733
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4047462733
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4047462733
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4047462733
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4047462733
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4047462733
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4047462733
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4047462733
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4047462733
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_21_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4047462733
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_21
:
Uρ
(
4047462733
/
4000000000000
)
≤
-
(
28244841495459020605873
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
2284012021
/
2000000000000
)
≤
-
(
2650831856230185575557
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
2284012021
/
2000000000000
)
≤
-
(
51361201358950362094901
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
2284012021
/
2000000000000
)
≤
-
(
979184520167902038687
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
2284012021
/
2000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
2284012021
/
2000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
2284012021
/
2000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
2284012021
/
2000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
2284012021
/
2000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
2284012021
/
2000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
2284012021
/
2000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
2284012021
/
2000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
2284012021
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
2284012021
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
2284012021
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
2284012021
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_22_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
2284012021
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_22
:
Uρ
(
2284012021
/
2000000000000
)
≤
-
(
2827670396385794487423
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
5088585351
/
4000000000000
)
≤
-
(
26650264330778109932447
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
5088585351
/
4000000000000
)
≤
-
(
206762531076714809157
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
5088585351
/
4000000000000
)
≤
-
(
49562765747407728412987
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
5088585351
/
4000000000000
)
≤
-
(
11449496158609380585237
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
5088585351
/
4000000000000
)
≤
-
(
20577364119368339121527
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
5088585351
/
4000000000000
)
≤
-
(
3698074464695343529243
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
5088585351
/
4000000000000
)
≤
-
(
33239459906384759787341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
5088585351
/
4000000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
5088585351
/
4000000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
5088585351
/
4000000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
5088585351
/
4000000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
5088585351
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
5088585351
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
5088585351
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
5088585351
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_23_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
5088585351
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_23
:
Uρ
(
5088585351
/
4000000000000
)
≤
-
(
14157655382134504069693
/
5000000000000000000000
)