Documentation
LeanPool
.
Zeta5Irrational
.
Table
.
U34
Search
return to top
source
Imports
Init
LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_412_1
Zeta5Irrational
.
U_412_2
Zeta5Irrational
.
U_412_3
Zeta5Irrational
.
U_412_4
Zeta5Irrational
.
U_412_5
Zeta5Irrational
.
U_412_6
Zeta5Irrational
.
U_412_7
Zeta5Irrational
.
U_412_8
Zeta5Irrational
.
U_412_9
Zeta5Irrational
.
U_412_10
Zeta5Irrational
.
U_412_11
Zeta5Irrational
.
U_412_12
Zeta5Irrational
.
U_412_13
Zeta5Irrational
.
U_412_14
Zeta5Irrational
.
U_412_15
Zeta5Irrational
.
U_412_16
Zeta5Irrational
.
U_412
Zeta5Irrational
.
U_413_1
Zeta5Irrational
.
U_413_2
Zeta5Irrational
.
U_413_3
Zeta5Irrational
.
U_413_4
Zeta5Irrational
.
U_413_5
Zeta5Irrational
.
U_413_6
Zeta5Irrational
.
U_413_7
Zeta5Irrational
.
U_413_8
Zeta5Irrational
.
U_413_9
Zeta5Irrational
.
U_413_10
Zeta5Irrational
.
U_413_11
Zeta5Irrational
.
U_413_12
Zeta5Irrational
.
U_413_13
Zeta5Irrational
.
U_413_14
Zeta5Irrational
.
U_413_15
Zeta5Irrational
.
U_413_16
Zeta5Irrational
.
U_413
Zeta5Irrational
.
U_414_1
Zeta5Irrational
.
U_414_2
Zeta5Irrational
.
U_414_3
Zeta5Irrational
.
U_414_4
Zeta5Irrational
.
U_414_5
Zeta5Irrational
.
U_414_6
Zeta5Irrational
.
U_414_7
Zeta5Irrational
.
U_414_8
Zeta5Irrational
.
U_414_9
Zeta5Irrational
.
U_414_10
Zeta5Irrational
.
U_414_11
Zeta5Irrational
.
U_414_12
Zeta5Irrational
.
U_414_13
Zeta5Irrational
.
U_414_14
Zeta5Irrational
.
U_414_15
Zeta5Irrational
.
U_414_16
Zeta5Irrational
.
U_414
Zeta5Irrational
.
U_415_1
Zeta5Irrational
.
U_415_2
Zeta5Irrational
.
U_415_3
Zeta5Irrational
.
U_415_4
Zeta5Irrational
.
U_415_5
Zeta5Irrational
.
U_415_6
Zeta5Irrational
.
U_415_7
Zeta5Irrational
.
U_415_8
Zeta5Irrational
.
U_415_9
Zeta5Irrational
.
U_415_10
Zeta5Irrational
.
U_415_11
Zeta5Irrational
.
U_415_12
Zeta5Irrational
.
U_415_13
Zeta5Irrational
.
U_415_14
Zeta5Irrational
.
U_415_15
Zeta5Irrational
.
U_415_16
Zeta5Irrational
.
U_415
Zeta5Irrational
.
U_416_1
Zeta5Irrational
.
U_416_2
Zeta5Irrational
.
U_416_3
Zeta5Irrational
.
U_416_4
Zeta5Irrational
.
U_416_5
Zeta5Irrational
.
U_416_6
Zeta5Irrational
.
U_416_7
Zeta5Irrational
.
U_416_8
Zeta5Irrational
.
U_416_9
Zeta5Irrational
.
U_416_10
Zeta5Irrational
.
U_416_11
Zeta5Irrational
.
U_416_12
Zeta5Irrational
.
U_416_13
Zeta5Irrational
.
U_416_14
Zeta5Irrational
.
U_416_15
Zeta5Irrational
.
U_416_16
Zeta5Irrational
.
U_416
Zeta5Irrational
.
U_417_1
Zeta5Irrational
.
U_417_2
Zeta5Irrational
.
U_417_3
Zeta5Irrational
.
U_417_4
Zeta5Irrational
.
U_417_5
Zeta5Irrational
.
U_417_6
Zeta5Irrational
.
U_417_7
Zeta5Irrational
.
U_417_8
Zeta5Irrational
.
U_417_9
Zeta5Irrational
.
U_417_10
Zeta5Irrational
.
U_417_11
Zeta5Irrational
.
U_417_12
Zeta5Irrational
.
U_417_13
Zeta5Irrational
.
U_417_14
Zeta5Irrational
.
U_417_15
Zeta5Irrational
.
U_417_16
Zeta5Irrational
.
U_417
Zeta5Irrational
.
U_418_1
Zeta5Irrational
.
U_418_2
Zeta5Irrational
.
U_418_3
Zeta5Irrational
.
U_418_4
Zeta5Irrational
.
U_418_5
Zeta5Irrational
.
U_418_6
Zeta5Irrational
.
U_418_7
Zeta5Irrational
.
U_418_8
Zeta5Irrational
.
U_418_9
Zeta5Irrational
.
U_418_10
Zeta5Irrational
.
U_418_11
Zeta5Irrational
.
U_418_12
Zeta5Irrational
.
U_418_13
Zeta5Irrational
.
U_418_14
Zeta5Irrational
.
U_418_15
Zeta5Irrational
.
U_418_16
Zeta5Irrational
.
U_418
Zeta5Irrational
.
U_419_1
Zeta5Irrational
.
U_419_2
Zeta5Irrational
.
U_419_3
Zeta5Irrational
.
U_419_4
Zeta5Irrational
.
U_419_5
Zeta5Irrational
.
U_419_6
Zeta5Irrational
.
U_419_7
Zeta5Irrational
.
U_419_8
Zeta5Irrational
.
U_419_9
Zeta5Irrational
.
U_419_10
Zeta5Irrational
.
U_419_11
Zeta5Irrational
.
U_419_12
Zeta5Irrational
.
U_419_13
Zeta5Irrational
.
U_419_14
Zeta5Irrational
.
U_419_15
Zeta5Irrational
.
U_419_16
Zeta5Irrational
.
U_419
Zeta5Irrational
.
U_420_1
Zeta5Irrational
.
U_420_2
Zeta5Irrational
.
U_420_3
Zeta5Irrational
.
U_420_4
Zeta5Irrational
.
U_420_5
Zeta5Irrational
.
U_420_6
Zeta5Irrational
.
U_420_7
Zeta5Irrational
.
U_420_8
Zeta5Irrational
.
U_420_9
Zeta5Irrational
.
U_420_10
Zeta5Irrational
.
U_420_11
Zeta5Irrational
.
U_420_12
Zeta5Irrational
.
U_420_13
Zeta5Irrational
.
U_420_14
Zeta5Irrational
.
U_420_15
Zeta5Irrational
.
U_420_16
Zeta5Irrational
.
U_420
Zeta5Irrational
.
U_421_1
Zeta5Irrational
.
U_421_2
Zeta5Irrational
.
U_421_3
Zeta5Irrational
.
U_421_4
Zeta5Irrational
.
U_421_5
Zeta5Irrational
.
U_421_6
Zeta5Irrational
.
U_421_7
Zeta5Irrational
.
U_421_8
Zeta5Irrational
.
U_421_9
Zeta5Irrational
.
U_421_10
Zeta5Irrational
.
U_421_11
Zeta5Irrational
.
U_421_12
Zeta5Irrational
.
U_421_13
Zeta5Irrational
.
U_421_14
Zeta5Irrational
.
U_421_15
Zeta5Irrational
.
U_421_16
Zeta5Irrational
.
U_421
Zeta5Irrational
.
U_422_1
Zeta5Irrational
.
U_422_2
Zeta5Irrational
.
U_422_3
Zeta5Irrational
.
U_422_4
Zeta5Irrational
.
U_422_5
Zeta5Irrational
.
U_422_6
Zeta5Irrational
.
U_422_7
Zeta5Irrational
.
U_422_8
Zeta5Irrational
.
U_422_9
Zeta5Irrational
.
U_422_10
Zeta5Irrational
.
U_422_11
Zeta5Irrational
.
U_422_12
Zeta5Irrational
.
U_422_13
Zeta5Irrational
.
U_422_14
Zeta5Irrational
.
U_422_15
Zeta5Irrational
.
U_422_16
Zeta5Irrational
.
U_422
Zeta5Irrational
.
U_423_1
Zeta5Irrational
.
U_423_2
Zeta5Irrational
.
U_423_3
Zeta5Irrational
.
U_423_4
Zeta5Irrational
.
U_423_5
Zeta5Irrational
.
U_423_6
Zeta5Irrational
.
U_423_7
Zeta5Irrational
.
U_423_8
Zeta5Irrational
.
U_423_9
Zeta5Irrational
.
U_423_10
Zeta5Irrational
.
U_423_11
Zeta5Irrational
.
U_423_12
Zeta5Irrational
.
U_423_13
Zeta5Irrational
.
U_423_14
Zeta5Irrational
.
U_423_15
Zeta5Irrational
.
U_423_16
Zeta5Irrational
.
U_423
Certified arcsine potential bounds (U34)
#
source
theorem
Zeta5Irrational
.
U_412_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
441401103427
/
1000000000000
)
≤
-
(
8325295657190344060219
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
441401103427
/
1000000000000
)
≤
-
(
335222984107915235267
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
441401103427
/
1000000000000
)
≤
-
(
8492201232119775677881
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
441401103427
/
1000000000000
)
≤
-
(
4340422539223208551097
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
441401103427
/
1000000000000
)
≤
-
(
4488166174250952639887
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
441401103427
/
1000000000000
)
≤
-
(
470947097206575796623
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
441401103427
/
1000000000000
)
≤
-
(
10063552978277690335471
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
441401103427
/
1000000000000
)
≤
-
(
274774647827680332549
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
441401103427
/
1000000000000
)
≤
-
(
1234130017850107135807
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
441401103427
/
1000000000000
)
≤
-
(
14443658687485022068619
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
441401103427
/
1000000000000
)
≤
-
(
19162436512716292548947
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
441401103427
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
441401103427
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
441401103427
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
441401103427
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_412_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
441401103427
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_412
:
Uρ
(
441401103427
/
1000000000000
)
≤
-
(
6106371938425516455039
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
885450806607
/
2000000000000
)
≤
-
(
829489431824442098373
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
885450806607
/
2000000000000
)
≤
-
(
417500176740119125927
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
885450806607
/
2000000000000
)
≤
-
(
1692256610190248951243
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
885450806607
/
2000000000000
)
≤
-
(
1729865328848618984599
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
885450806607
/
2000000000000
)
≤
-
(
8943837665525954089233
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
885450806607
/
2000000000000
)
≤
-
(
9384896663309727471479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
885450806607
/
2000000000000
)
≤
-
(
10027038309970569596151
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
885450806607
/
2000000000000
)
≤
-
(
10950399669358784600239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
885450806607
/
2000000000000
)
≤
-
(
6146682270563129851507
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
885450806607
/
2000000000000
)
≤
-
(
3594754308831076809627
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
885450806607
/
2000000000000
)
≤
-
(
18974596681744203262247
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
885450806607
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
885450806607
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
885450806607
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
885450806607
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_413_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
885450806607
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_413
:
Uρ
(
885450806607
/
2000000000000
)
≤
-
(
1217216813364887052379
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
22202485159
/
50000000000
)
≤
-
(
8264585124940494284273
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
22202485159
/
50000000000
)
≤
-
(
8319525651625783148213
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
22202485159
/
50000000000
)
≤
-
(
4215230103394798454407
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
22202485159
/
50000000000
)
≤
-
(
8617907356384918787213
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
22202485159
/
50000000000
)
≤
-
(
8911448565837778337919
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
22202485159
/
50000000000
)
≤
-
(
9350967824237916076221
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
22202485159
/
50000000000
)
≤
-
(
4995329531900420707149
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
22202485159
/
50000000000
)
≤
-
(
10909985018713567947419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
22202485159
/
50000000000
)
≤
-
(
191338797200200775319
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
22202485159
/
50000000000
)
≤
-
(
286298355615774617203
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
22202485159
/
50000000000
)
≤
-
(
3759439815845592521937
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
22202485159
/
50000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
22202485159
/
50000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
22202485159
/
50000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
22202485159
/
50000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_414_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
22202485159
/
50000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_414
:
Uρ
(
22202485159
/
50000000000
)
≤
-
(
485301670043732980539
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
890748006113
/
2000000000000
)
≤
-
(
2058591880093690254427
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
890748006113
/
2000000000000
)
≤
-
(
4144570193375825698037
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
890748006113
/
2000000000000
)
≤
-
(
4199866056630123266719
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
890748006113
/
2000000000000
)
≤
-
(
8586586592335453971777
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
890748006113
/
2000000000000
)
≤
-
(
34684235794435448991
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_415_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
890748006113
/
2000000000000
)
≤
-
(
4658577313435840435391
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
890748006113
/
2000000000000
)
≤
-
(
9954414220290087389677
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
890748006113
/
2000000000000
)
≤
-
(
5434870227411690620931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
890748006113
/
2000000000000
)
≤
-
(
12198252685595503436989
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
890748006113
/
2000000000000
)
≤
-
(
1781418685494105864799
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
890748006113
/
2000000000000
)
≤
-
(
9314361252783403192807
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
890748006113
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
890748006113
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
890748006113
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
890748006113
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_415_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
890748006113
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_415
:
Uρ
(
890748006113
/
2000000000000
)
≤
-
(
12093743108271133476063
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
446698302933
/
1000000000000
)
≤
-
(
8204240952676966510493
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
446698302933
/
1000000000000
)
≤
-
(
1032355897364107694117
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
446698302933
/
1000000000000
)
≤
-
(
8369098189383941263791
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
446698302933
/
1000000000000
)
≤
-
(
8555363735410042263653
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
446698302933
/
1000000000000
)
≤
-
(
884698437876299503827
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
446698302933
/
1000000000000
)
≤
-
(
9283456279446531117199
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
446698302933
/
1000000000000
)
≤
-
(
2479575692907522664859
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
446698302933
/
1000000000000
)
≤
-
(
2165932898364507387119
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
446698302933
/
1000000000000
)
≤
-
(
12151070657503466858303
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
446698302933
/
1000000000000
)
≤
-
(
3547075465469153810511
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
446698302933
/
1000000000000
)
≤
-
(
738719378596878066367
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
446698302933
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
446698302933
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
446698302933
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
446698302933
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_416_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
446698302933
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_416
:
Uρ
(
446698302933
/
1000000000000
)
≤
-
(
1506959668461532668943
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
896045205619
/
2000000000000
)
≤
-
(
2043551218737480737427
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
896045205619
/
2000000000000
)
≤
-
(
2057161367982340828791
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
896045205619
/
2000000000000
)
≤
-
(
833855785951075132007
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
896045205619
/
2000000000000
)
≤
-
(
1704847634940521090967
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
896045205619
/
2000000000000
)
≤
-
(
1101863492402909633239
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
896045205619
/
2000000000000
)
≤
-
(
9249871998363191376847
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
896045205619
/
2000000000000
)
≤
-
(
494116186075126798691
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
896045205619
/
2000000000000
)
≤
-
(
10789755663946743181419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
896045205619
/
2000000000000
)
≤
-
(
756508381948669364161
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
896045205619
/
2000000000000
)
≤
-
(
2825152954444311047283
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
896045205619
/
2000000000000
)
≤
-
(
3662808807969156807193
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
896045205619
/
2000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
896045205619
/
2000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
896045205619
/
2000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
896045205619
/
2000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_417_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
896045205619
/
2000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_417
:
Uρ
(
896045205619
/
2000000000000
)
≤
-
(
2403653742116277630583
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1794739010991
/
4000000000000
)
≤
-
(
326368824010608195853
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1794739010991
/
4000000000000
)
≤
-
(
4106789379413987168301
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1794739010991
/
4000000000000
)
≤
-
(
8323322613875938862681
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1794739010991
/
4000000000000
)
≤
-
(
8508711691084804030819
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1794739010991
/
4000000000000
)
≤
-
(
2199727085099057476111
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1794739010991
/
4000000000000
)
≤
-
(
4616561195014913821701
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1794739010991
/
4000000000000
)
≤
-
(
4932191768818572964023
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1794739010991
/
4000000000000
)
≤
-
(
2153972694606828066529
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1794739010991
/
4000000000000
)
≤
-
(
12080757024811163845657
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1794739010991
/
4000000000000
)
≤
-
(
14094684596889839880361
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1794739010991
/
4000000000000
)
≤
-
(
18239378751248439378963
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1794739010991
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1794739010991
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1794739010991
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1794739010991
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_418_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1794739010991
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_418
:
Uρ
(
1794739010991
/
4000000000000
)
≤
-
(
599989554116664840691
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
224673451343
/
500000000000
)
≤
-
(
2036064686302483332461
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
224673451343
/
500000000000
)
≤
-
(
8198534714646879541903
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
224673451343
/
500000000000
)
≤
-
(
4154055276627529415703
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
224673451343
/
500000000000
)
≤
-
(
53082558156334955823
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
224673451343
/
500000000000
)
≤
-
(
2195733594623203264179
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
224673451343
/
500000000000
)
≤
-
(
92164010080748980551
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
224673451343
/
500000000000
)
≤
-
(
9846476084902234316057
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
224673451343
/
500000000000
)
≤
-
(
2687503131290268703811
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
224673451343
/
500000000000
)
≤
-
(
1507180034067428396347
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
224673451343
/
500000000000
)
≤
-
(
7031864198912791906271
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
224673451343
/
500000000000
)
≤
-
(
9083068948402617052851
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
224673451343
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
224673451343
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
224673451343
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
224673451343
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_419_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
224673451343
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_419
:
Uρ
(
224673451343
/
500000000000
)
≤
-
(
2396291097251474981877
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1800036210497
/
4000000000000
)
≤
-
(
4064659621397125910963
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1800036210497
/
4000000000000
)
≤
-
(
4091756635633582914549
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1800036210497
/
4000000000000
)
≤
-
(
8292921607161953238429
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1800036210497
/
4000000000000
)
≤
-
(
1059716367714879467071
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1800036210497
/
4000000000000
)
≤
-
(
1753397194246807411647
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1800036210497
/
4000000000000
)
≤
-
(
183994155135901900949
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1800036210497
/
4000000000000
)
≤
-
(
9828601241911390730523
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1800036210497
/
4000000000000
)
≤
-
(
1073020264259629767199
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1800036210497
/
4000000000000
)
≤
-
(
12034183515403065078679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1800036210497
/
4000000000000
)
≤
-
(
561315799852319578607
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1800036210497
/
4000000000000
)
≤
-
(
18094246652620039559979
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1800036210497
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1800036210497
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1800036210497
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1800036210497
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_420_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1800036210497
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_420
:
Uρ
(
1800036210497
/
4000000000000
)
≤
-
(
5981627919399893279119
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7210739241
/
16000000000
)
≤
-
(
8114402026328109846991
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7210739241
/
16000000000
)
≤
-
(
4084257180438267317039
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7210739241
/
16000000000
)
≤
-
(
8277755705431535785367
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7210739241
/
16000000000
)
≤
-
(
67698212214232369843
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7210739241
/
16000000000
)
≤
-
(
8751063036737577972069
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7210739241
/
16000000000
)
≤
-
(
2295760635244161997167
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7210739241
/
16000000000
)
≤
-
(
306586215248868418239
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7210739241
/
16000000000
)
≤
-
(
1338804206099587571027
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7210739241
/
16000000000
)
≤
-
(
12010986417487087268443
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7210739241
/
16000000000
)
≤
-
(
350054580804219201741
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7210739241
/
16000000000
)
≤
-
(
4505909143362031622123
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7210739241
/
16000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7210739241
/
16000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7210739241
/
16000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7210739241
/
16000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_421_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7210739241
/
16000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_421
:
Uρ
(
7210739241
/
16000000000
)
≤
-
(
11945186561807156496291
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
1805333410003
/
4000000000000
)
≤
-
(
2024876757354868561347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
1805333410003
/
4000000000000
)
≤
-
(
1630707583193492241937
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
1805333410003
/
4000000000000
)
≤
-
(
4131306389108922398569
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
1805333410003
/
4000000000000
)
≤
-
(
8446845986117236546949
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
1805333410003
/
4000000000000
)
≤
-
(
8735165493515219476671
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
1805333410003
/
4000000000000
)
≤
-
(
9166405265891975863527
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
1805333410003
/
4000000000000
)
≤
-
(
4896474451519480225219
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
1805333410003
/
4000000000000
)
≤
-
(
10690705368396436709341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
1805333410003
/
4000000000000
)
≤
-
(
5993924322941902594337
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
1805333410003
/
4000000000000
)
≤
-
(
2794318392676469736287
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
1805333410003
/
4000000000000
)
≤
-
(
3590848971023895272907
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
1805333410003
/
4000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
1805333410003
/
4000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
1805333410003
/
4000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
1805333410003
/
4000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_422_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
1805333410003
/
4000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_422
:
Uρ
(
1805333410003
/
4000000000000
)
≤
-
(
11927242524291849257171
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
451995502439
/
1000000000000
)
≤
-
(
4042317092986279800841
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
451995502439
/
1000000000000
)
≤
-
(
4069291934667686941101
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
451995502439
/
1000000000000
)
≤
-
(
4123746377996051450701
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
451995502439
/
1000000000000
)
≤
-
(
4215719623000383988557
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
451995502439
/
1000000000000
)
≤
-
(
1743858652094064989949
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
451995502439
/
1000000000000
)
≤
-
(
914979583729635317381
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
451995502439
/
1000000000000
)
≤
-
(
9775171167791601484043
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
451995502439
/
1000000000000
)
≤
-
(
1067101762719614924343
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
451995502439
/
1000000000000
)
≤
-
(
239295397413106100289
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
451995502439
/
1000000000000
)
≤
-
(
6970560032833848866531
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
451995502439
/
1000000000000
)
≤
-
(
4471503425795417789409
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
451995502439
/
1000000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
451995502439
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
451995502439
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
451995502439
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_423_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
451995502439
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_423
:
Uρ
(
451995502439
/
1000000000000
)
≤
-
(
744338687036184402011
/
625000000000000000000
)