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.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
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Zeta5Irrational
.
U_520_1
Zeta5Irrational
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U_520_2
Zeta5Irrational
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U_520_3
Zeta5Irrational
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U_520_4
Zeta5Irrational
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U_520_5
Zeta5Irrational
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U_520_6
Zeta5Irrational
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U_520_7
Zeta5Irrational
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U_520_8
Zeta5Irrational
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U_520_9
Zeta5Irrational
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U_520_10
Zeta5Irrational
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U_520_11
Zeta5Irrational
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U_520_12
Zeta5Irrational
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U_520_13
Zeta5Irrational
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U_520_14
Zeta5Irrational
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U_520_15
Zeta5Irrational
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U_520_16
Zeta5Irrational
.
U_520
Zeta5Irrational
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U_521_1
Zeta5Irrational
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U_521_2
Zeta5Irrational
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U_521_3
Zeta5Irrational
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U_521_4
Zeta5Irrational
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U_521_5
Zeta5Irrational
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U_521_6
Zeta5Irrational
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U_521_7
Zeta5Irrational
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U_521_8
Zeta5Irrational
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U_521_9
Zeta5Irrational
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U_521_10
Zeta5Irrational
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U_521_11
Zeta5Irrational
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U_521_12
Zeta5Irrational
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U_521_13
Zeta5Irrational
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U_521_14
Zeta5Irrational
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U_521_15
Zeta5Irrational
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U_521_16
Zeta5Irrational
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U_521
Zeta5Irrational
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U_522_1
Zeta5Irrational
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U_522_2
Zeta5Irrational
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U_522_3
Zeta5Irrational
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U_522_4
Zeta5Irrational
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U_522_5
Zeta5Irrational
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U_522_6
Zeta5Irrational
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U_522_7
Zeta5Irrational
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U_522_8
Zeta5Irrational
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U_522_9
Zeta5Irrational
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U_522_10
Zeta5Irrational
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U_522_11
Zeta5Irrational
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U_522_12
Zeta5Irrational
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U_522_13
Zeta5Irrational
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U_522_14
Zeta5Irrational
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U_522_15
Zeta5Irrational
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U_522_16
Zeta5Irrational
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U_522
Zeta5Irrational
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U_523_1
Zeta5Irrational
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U_523_2
Zeta5Irrational
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U_523_3
Zeta5Irrational
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U_523_4
Zeta5Irrational
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U_523_5
Zeta5Irrational
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U_523_6
Zeta5Irrational
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U_523_7
Zeta5Irrational
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U_523_8
Zeta5Irrational
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U_523_9
Zeta5Irrational
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U_523_10
Zeta5Irrational
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U_523_11
Zeta5Irrational
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U_523_12
Zeta5Irrational
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U_523_13
Zeta5Irrational
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U_523_14
Zeta5Irrational
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U_523_15
Zeta5Irrational
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U_523_16
Zeta5Irrational
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U_523
Zeta5Irrational
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U_524_1
Zeta5Irrational
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U_524_2
Zeta5Irrational
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U_524_3
Zeta5Irrational
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U_524_4
Zeta5Irrational
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U_524_5
Zeta5Irrational
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U_524_6
Zeta5Irrational
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U_524_7
Zeta5Irrational
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U_524_8
Zeta5Irrational
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U_524_9
Zeta5Irrational
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U_524_10
Zeta5Irrational
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U_524_11
Zeta5Irrational
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U_524_12
Zeta5Irrational
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U_524_13
Zeta5Irrational
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U_524_14
Zeta5Irrational
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U_524_15
Zeta5Irrational
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U_524_16
Zeta5Irrational
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U_524
Zeta5Irrational
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U_525_1
Zeta5Irrational
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U_525_2
Zeta5Irrational
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U_525_3
Zeta5Irrational
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U_525_4
Zeta5Irrational
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U_525_5
Zeta5Irrational
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U_525_6
Zeta5Irrational
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U_525_7
Zeta5Irrational
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U_525_8
Zeta5Irrational
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U_525_9
Zeta5Irrational
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U_525_10
Zeta5Irrational
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U_525_11
Zeta5Irrational
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U_525_12
Zeta5Irrational
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U_525_13
Zeta5Irrational
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U_525_14
Zeta5Irrational
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U_525_15
Zeta5Irrational
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U_525_16
Zeta5Irrational
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U_525
Zeta5Irrational
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U_526_1
Zeta5Irrational
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U_526_2
Zeta5Irrational
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U_526_3
Zeta5Irrational
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U_526_4
Zeta5Irrational
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U_526_5
Zeta5Irrational
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U_526_6
Zeta5Irrational
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U_526_7
Zeta5Irrational
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U_526_8
Zeta5Irrational
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U_526_9
Zeta5Irrational
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U_526_10
Zeta5Irrational
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U_526_11
Zeta5Irrational
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U_526_12
Zeta5Irrational
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U_526_13
Zeta5Irrational
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U_526_14
Zeta5Irrational
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U_526_15
Zeta5Irrational
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U_526_16
Zeta5Irrational
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U_526
Zeta5Irrational
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U_527_1
Zeta5Irrational
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U_527_2
Zeta5Irrational
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U_527_3
Zeta5Irrational
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U_527_4
Zeta5Irrational
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U_527_5
Zeta5Irrational
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U_527_6
Zeta5Irrational
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U_527_7
Zeta5Irrational
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U_527_8
Zeta5Irrational
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U_527_9
Zeta5Irrational
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U_527_10
Zeta5Irrational
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U_527_11
Zeta5Irrational
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U_527_12
Zeta5Irrational
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U_527_13
Zeta5Irrational
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U_527_14
Zeta5Irrational
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U_527_15
Zeta5Irrational
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U_527_16
Zeta5Irrational
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U_527
Zeta5Irrational
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U_528_1
Zeta5Irrational
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U_528_2
Zeta5Irrational
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U_528_3
Zeta5Irrational
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U_528_4
Zeta5Irrational
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U_528_5
Zeta5Irrational
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U_528_6
Zeta5Irrational
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U_528_7
Zeta5Irrational
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U_528_8
Zeta5Irrational
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U_528_9
Zeta5Irrational
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U_528_10
Zeta5Irrational
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U_528_11
Zeta5Irrational
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U_528_12
Zeta5Irrational
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U_528_13
Zeta5Irrational
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U_528_14
Zeta5Irrational
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U_528_15
Zeta5Irrational
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U_528_16
Zeta5Irrational
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U_528
Zeta5Irrational
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U_529_1
Zeta5Irrational
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U_529_2
Zeta5Irrational
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U_529_3
Zeta5Irrational
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U_529_4
Zeta5Irrational
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U_529_5
Zeta5Irrational
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U_529_6
Zeta5Irrational
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U_529_7
Zeta5Irrational
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U_529_8
Zeta5Irrational
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U_529_9
Zeta5Irrational
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U_529_10
Zeta5Irrational
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U_529_11
Zeta5Irrational
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U_529_12
Zeta5Irrational
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U_529_13
Zeta5Irrational
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U_529_14
Zeta5Irrational
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U_529_15
Zeta5Irrational
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U_529_16
Zeta5Irrational
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U_529
Zeta5Irrational
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U_530_1
Zeta5Irrational
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U_530_2
Zeta5Irrational
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U_530_3
Zeta5Irrational
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U_530_4
Zeta5Irrational
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U_530_5
Zeta5Irrational
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U_530_6
Zeta5Irrational
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U_530_7
Zeta5Irrational
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U_530_8
Zeta5Irrational
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U_530_9
Zeta5Irrational
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U_530_10
Zeta5Irrational
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U_530_11
Zeta5Irrational
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U_530_12
Zeta5Irrational
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U_530_13
Zeta5Irrational
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U_530_14
Zeta5Irrational
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U_530_15
Zeta5Irrational
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U_530_16
Zeta5Irrational
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U_530
Zeta5Irrational
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U_531_1
Zeta5Irrational
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U_531_2
Zeta5Irrational
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U_531_3
Zeta5Irrational
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U_531_4
Zeta5Irrational
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U_531_5
Zeta5Irrational
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U_531_6
Zeta5Irrational
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U_531_7
Zeta5Irrational
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U_531_8
Zeta5Irrational
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U_531_9
Zeta5Irrational
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U_531_10
Zeta5Irrational
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U_531_11
Zeta5Irrational
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U_531_12
Zeta5Irrational
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U_531_13
Zeta5Irrational
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U_531_14
Zeta5Irrational
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U_531_15
Zeta5Irrational
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U_531_16
Zeta5Irrational
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U_531
Certified arcsine potential bounds (U43)
#
source
theorem
Zeta5Irrational
.
U_520_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9287519810631
/
16000000000000
)
≤
-
(
2775477411467269153561
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9287519810631
/
16000000000000
)
≤
-
(
5592724374280311294667
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9287519810631
/
16000000000000
)
≤
-
(
5676808531728931494759
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9287519810631
/
16000000000000
)
≤
-
(
5818095913874656755391
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9287519810631
/
16000000000000
)
≤
-
(
3018650477316833315497
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9287519810631
/
16000000000000
)
≤
-
(
795079433204800478269
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9287519810631
/
16000000000000
)
≤
-
(
6820086630363946455629
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9287519810631
/
16000000000000
)
≤
-
(
7455040704754400716783
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9287519810631
/
16000000000000
)
≤
-
(
8316941009312002770807
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9287519810631
/
16000000000000
)
≤
-
(
4740976483772919301281
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9287519810631
/
16000000000000
)
≤
-
(
5545371965551789929277
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9287519810631
/
16000000000000
)
≤
-
(
1353380204255246507751
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9287519810631
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9287519810631
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9287519810631
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_520_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9287519810631
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_520
:
Uρ
(
9287519810631
/
16000000000000
)
≤
-
(
8876311486619942590457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
4683703346333
/
8000000000000
)
≤
-
(
218573932723313454971
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
4683703346333
/
8000000000000
)
≤
-
(
5505754567146598031943
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
4683703346333
/
8000000000000
)
≤
-
(
698637552390495291897
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
4683703346333
/
8000000000000
)
≤
-
(
5729125871667981875797
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
4683703346333
/
8000000000000
)
≤
-
(
2973159163481224856561
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
4683703346333
/
8000000000000
)
≤
-
(
7833195515449707049
/
12500000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
4683703346333
/
8000000000000
)
≤
-
(
6721324909858084649313
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
4683703346333
/
8000000000000
)
≤
-
(
1469839420203114228919
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
4683703346333
/
8000000000000
)
≤
-
(
6406369439884059803
/
7812500000000000000
)
source
theorem
Zeta5Irrational
.
U_521_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
4683703346333
/
8000000000000
)
≤
-
(
9347289623404676103549
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
4683703346333
/
8000000000000
)
≤
-
(
2730769626571057740701
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
4683703346333
/
8000000000000
)
≤
-
(
6640928384740651911177
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
4683703346333
/
8000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
4683703346333
/
8000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
4683703346333
/
8000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_521_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
4683703346333
/
8000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_521
:
Uρ
(
4683703346333
/
8000000000000
)
≤
-
(
877967859898227552371
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9447293574701
/
16000000000000
)
≤
-
(
2689242726636831311537
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9447293574701
/
16000000000000
)
≤
-
(
2709767332690208033799
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9447293574701
/
16000000000000
)
≤
-
(
275107753260969971343
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9447293574701
/
16000000000000
)
≤
-
(
5640940935750156606193
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9447293574701
/
16000000000000
)
≤
-
(
292807872430797669627
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9447293574701
/
16000000000000
)
≤
-
(
3086678972250842838001
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9447293574701
/
16000000000000
)
≤
-
(
1655884651729656945347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9447293574701
/
16000000000000
)
≤
-
(
3622243194618693881327
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9447293574701
/
16000000000000
)
≤
-
(
1616955332102858313771
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9447293574701
/
16000000000000
)
≤
-
(
9214596541511311802389
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9447293574701
/
16000000000000
)
≤
-
(
10758800567764580269163
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9447293574701
/
16000000000000
)
≤
-
(
1629974352488310309933
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9447293574701
/
16000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9447293574701
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9447293574701
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_522_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9447293574701
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_522
:
Uρ
(
9447293574701
/
16000000000000
)
≤
-
(
108558985643967623763
/
125000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
297724389273
/
500000000000
)
≤
-
(
1323338391653748969901
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
297724389273
/
500000000000
)
≤
-
(
2667025923201519139487
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
297724389273
/
500000000000
)
≤
-
(
5415959314664550473199
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
297724389273
/
500000000000
)
≤
-
(
694190920277763514999
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
297724389273
/
500000000000
)
≤
-
(
1441700895845914328219
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
297724389273
/
500000000000
)
≤
-
(
1216204732437666014063
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
297724389273
/
500000000000
)
≤
-
(
326335422999999054939
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
297724389273
/
500000000000
)
≤
-
(
7140884075452489921343
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
297724389273
/
500000000000
)
≤
-
(
3985388580009479571857
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
297724389273
/
500000000000
)
≤
-
(
9083812071916347774149
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
297724389273
/
500000000000
)
≤
-
(
10597754534486675358283
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
297724389273
/
500000000000
)
≤
-
(
12806664000284943041083
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
297724389273
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
297724389273
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
297724389273
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_523_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
297724389273
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_523
:
Uρ
(
297724389273
/
500000000000
)
≤
-
(
8591336616545901455247
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19123153518409
/
32000000000000
)
≤
-
(
1314230248183163826137
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19123153518409
/
32000000000000
)
≤
-
(
5297470015337856711679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19123153518409
/
32000000000000
)
≤
-
(
107581485947053385999
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19123153518409
/
32000000000000
)
≤
-
(
5516124554661589611093
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19123153518409
/
32000000000000
)
≤
-
(
5728576098328493848859
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19123153518409
/
32000000000000
)
≤
-
(
6041530126911093500149
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19123153518409
/
32000000000000
)
≤
-
(
3242653404335615268931
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19123153518409
/
32000000000000
)
≤
-
(
7096612213048692962003
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19123153518409
/
32000000000000
)
≤
-
(
1584421749117207670283
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19123153518409
/
32000000000000
)
≤
-
(
72224593962241507771
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19123153518409
/
32000000000000
)
≤
-
(
10529373141229537227421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19123153518409
/
32000000000000
)
≤
-
(
2541766278107864221893
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19123153518409
/
32000000000000
)
≤
-
(
3569539676245047689691
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19123153518409
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19123153518409
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_524_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19123153518409
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_524
:
Uρ
(
19123153518409
/
32000000000000
)
≤
-
(
530057725649425284243
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
9595973061673
/
16000000000000
)
≤
-
(
522062067163280364799
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
9595973061673
/
16000000000000
)
≤
-
(
328813845489025310421
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
9595973061673
/
16000000000000
)
≤
-
(
5342324859967229659017
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
9595973061673
/
16000000000000
)
≤
-
(
2739430605522132083087
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
9595973061673
/
16000000000000
)
≤
-
(
5690494434089613539713
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
9595973061673
/
16000000000000
)
≤
-
(
3001096294645691980019
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
9595973061673
/
16000000000000
)
≤
-
(
3222038740598697037627
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
9595973061673
/
16000000000000
)
≤
-
(
1763134895300513255911
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
9595973061673
/
16000000000000
)
≤
-
(
1574737327668269272281
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
9595973061673
/
16000000000000
)
≤
-
(
8972674828002439749491
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
9595973061673
/
16000000000000
)
≤
-
(
52307765738945663703
/
50000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
9595973061673
/
16000000000000
)
≤
-
(
12612446007478394770303
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
9595973061673
/
16000000000000
)
≤
-
(
17351210317533614871703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
9595973061673
/
16000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
9595973061673
/
16000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_525_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
9595973061673
/
16000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_525
:
Uρ
(
9595973061673
/
16000000000000
)
≤
-
(
1682447810411330092499
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19260738728283
/
32000000000000
)
≤
-
(
1296112911651224119971
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19260738728283
/
32000000000000
)
≤
-
(
5224705415238725644339
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19260738728283
/
32000000000000
)
≤
-
(
1326427502307451136827
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19260738728283
/
32000000000000
)
≤
-
(
5441736294544028744673
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19260738728283
/
32000000000000
)
≤
-
(
113051149611568404339
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19260738728283
/
32000000000000
)
≤
-
(
1192601963369088836747
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19260738728283
/
32000000000000
)
≤
-
(
6403019035753007704611
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19260738728283
/
32000000000000
)
≤
-
(
1752166089705982821403
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19260738728283
/
32000000000000
)
≤
-
(
1565101650889641952791
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19260738728283
/
32000000000000
)
≤
-
(
2229402349962983556549
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19260738728283
/
32000000000000
)
≤
-
(
5197141997269709507939
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19260738728283
/
32000000000000
)
≤
-
(
12517454039065267076341
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19260738728283
/
32000000000000
)
≤
-
(
16970931968603725312893
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19260738728283
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19260738728283
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_526_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19260738728283
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_526
:
Uρ
(
19260738728283
/
32000000000000
)
≤
-
(
1670131396109797597861
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
38590270061503
/
64000000000000
)
≤
-
(
645802009247295681979
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
38590270061503
/
64000000000000
)
≤
-
(
1301649174932163817053
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
38590270061503
/
64000000000000
)
≤
-
(
660931593304168506057
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
38590270061503
/
64000000000000
)
≤
-
(
1355806356402784096183
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
38590270061503
/
64000000000000
)
≤
-
(
352102682931682360927
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
38590270061503
/
64000000000000
)
≤
-
(
46433406925091649199
/
78125000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
38590270061503
/
64000000000000
)
≤
-
(
6382553448201340794523
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
38590270061503
/
64000000000000
)
≤
-
(
3493400107016278783557
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
38590270061503
/
64000000000000
)
≤
-
(
7801509662796789883127
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
38590270061503
/
64000000000000
)
≤
-
(
4445100287735114038913
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
38590270061503
/
64000000000000
)
≤
-
(
10360852771929530826219
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
38590270061503
/
64000000000000
)
≤
-
(
2494092935186941707943
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
38590270061503
/
64000000000000
)
≤
-
(
16805116772664291941307
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
38590270061503
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
38590270061503
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_527_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
38590270061503
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_527
:
Uρ
(
38590270061503
/
64000000000000
)
≤
-
(
832139470866167297877
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
966476566661
/
1600000000000
)
≤
-
(
2574206485641140088087
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
966476566661
/
1600000000000
)
≤
-
(
1297130179868403671289
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
966476566661
/
1600000000000
)
≤
-
(
5269228762739811181977
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
966476566661
/
1600000000000
)
≤
-
(
675593597482667857747
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
966476566661
/
1600000000000
)
≤
-
(
5614764140355019561613
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
966476566661
/
1600000000000
)
≤
-
(
5923980591695871839469
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
966476566661
/
1600000000000
)
≤
-
(
159053251217352304367
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
966476566661
/
1600000000000
)
≤
-
(
6964984750148177349421
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
966476566661
/
1600000000000
)
≤
-
(
7777571051986987253239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
966476566661
/
1600000000000
)
≤
-
(
4431436816050858759941
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
966476566661
/
1600000000000
)
≤
-
(
5163777722653102252189
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
966476566661
/
1600000000000
)
≤
-
(
2484760992263260070481
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
966476566661
/
1600000000000
)
≤
-
(
260170584264644178209
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
966476566661
/
1600000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
966476566661
/
1600000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_528_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
966476566661
/
1600000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_528
:
Uρ
(
966476566661
/
1600000000000
)
≤
-
(
518305002869011146653
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
38727855271377
/
64000000000000
)
≤
-
(
5130442221812664608347
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
38727855271377
/
64000000000000
)
≤
-
(
5170477356328555880841
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
38727855271377
/
64000000000000
)
≤
-
(
5251037937022816384007
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
38727855271377
/
64000000000000
)
≤
-
(
5386306230905287627101
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
38727855271377
/
64000000000000
)
≤
-
(
5595920985687641589971
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
38727855271377
/
64000000000000
)
≤
-
(
738065397838446361183
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
38727855271377
/
64000000000000
)
≤
-
(
792718582758281840787
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
38727855271377
/
64000000000000
)
≤
-
(
6943217746578683048433
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
38727855271377
/
64000000000000
)
≤
-
(
7753692110675952395933
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
38727855271377
/
64000000000000
)
≤
-
(
4417814021261383902239
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
38727855271377
/
64000000000000
)
≤
-
(
10294390783422403344033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
38727855271377
/
64000000000000
)
≤
-
(
12377469048134864274801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
38727855271377
/
64000000000000
)
≤
-
(
8253109536821764390211
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
38727855271377
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
38727855271377
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_529_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
38727855271377
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_529
:
Uρ
(
38727855271377
/
64000000000000
)
≤
-
(
8264987908352755707917
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19398323938157
/
32000000000000
)
≤
-
(
102250074189872219547
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19398323938157
/
32000000000000
)
≤
-
(
1288116623196728951863
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19398323938157
/
32000000000000
)
≤
-
(
1308220037204054730923
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19398323938157
/
32000000000000
)
≤
-
(
670987206631612576549
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19398323938157
/
32000000000000
)
≤
-
(
5577113328436471908801
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19398323938157
/
32000000000000
)
≤
-
(
5885103710340832165453
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19398323938157
/
32000000000000
)
≤
-
(
1264281822850228723667
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19398323938157
/
32000000000000
)
≤
-
(
6921498986855282207523
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19398323938157
/
32000000000000
)
≤
-
(
1932468132506487573157
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19398323938157
/
32000000000000
)
≤
-
(
8808463284906202056157
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19398323938157
/
32000000000000
)
≤
-
(
513067878678141954839
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19398323938157
/
32000000000000
)
≤
-
(
1541431407737169729987
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19398323938157
/
32000000000000
)
≤
-
(
16369481579601011001041
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19398323938157
/
32000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19398323938157
/
32000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_530_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19398323938157
/
32000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_530
:
Uρ
(
19398323938157
/
32000000000000
)
≤
-
(
8237627031248805762037
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
38865440481251
/
64000000000000
)
≤
-
(
1273649329718194240281
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
38865440481251
/
64000000000000
)
≤
-
(
1026897602395204205191
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
38865440481251
/
64000000000000
)
≤
-
(
5214755278309320413741
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
38865440481251
/
64000000000000
)
≤
-
(
5349522921308249214813
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
38865440481251
/
64000000000000
)
≤
-
(
5558341034894179748239
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
38865440481251
/
64000000000000
)
≤
-
(
2932861013183497161807
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
38865440481251
/
64000000000000
)
≤
-
(
6301111232271157612451
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
38865440481251
/
64000000000000
)
≤
-
(
6899828248220443165641
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
38865440481251
/
64000000000000
)
≤
-
(
1926528000919187657291
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
38865440481251
/
64000000000000
)
≤
-
(
8781378842744531549129
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
38865440481251
/
64000000000000
)
≤
-
(
1278556827644119619991
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
38865440481251
/
64000000000000
)
≤
-
(
6142873046797036347843
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
38865440481251
/
64000000000000
)
≤
-
(
16239541782885318070361
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
38865440481251
/
64000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
38865440481251
/
64000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_531_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
38865440481251
/
64000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_531
:
Uρ
(
38865440481251
/
64000000000000
)
≤
-
(
1642145670387592022313
/
2000000000000000000000
)