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Zeta5Irrational
.
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.
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LeanPool.Zeta5Irrational.Table.UpperCertificate
Imported by
Zeta5Irrational
.
U_0_1
Zeta5Irrational
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U_0_2
Zeta5Irrational
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U_0_3
Zeta5Irrational
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U_0_4
Zeta5Irrational
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U_0_5
Zeta5Irrational
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U_0_6
Zeta5Irrational
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U_0_7
Zeta5Irrational
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U_0_8
Zeta5Irrational
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U_0_9
Zeta5Irrational
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U_0_10
Zeta5Irrational
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U_0_11
Zeta5Irrational
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U_0_12
Zeta5Irrational
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U_0_13
Zeta5Irrational
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U_0_14
Zeta5Irrational
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U_0_15
Zeta5Irrational
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U_0_16
Zeta5Irrational
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U_0
Zeta5Irrational
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U_1_1
Zeta5Irrational
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U_1_2
Zeta5Irrational
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U_1_3
Zeta5Irrational
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U_1_4
Zeta5Irrational
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U_1_5
Zeta5Irrational
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U_1_6
Zeta5Irrational
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U_1_7
Zeta5Irrational
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U_1_8
Zeta5Irrational
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U_1_9
Zeta5Irrational
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U_1_10
Zeta5Irrational
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U_1_11
Zeta5Irrational
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U_1_12
Zeta5Irrational
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U_1_13
Zeta5Irrational
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U_1_14
Zeta5Irrational
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U_1_15
Zeta5Irrational
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U_1_16
Zeta5Irrational
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U_1
Zeta5Irrational
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U_2_1
Zeta5Irrational
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U_2_2
Zeta5Irrational
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U_2_3
Zeta5Irrational
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U_2_4
Zeta5Irrational
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U_2_5
Zeta5Irrational
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U_2_6
Zeta5Irrational
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U_2_7
Zeta5Irrational
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U_2_8
Zeta5Irrational
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U_2_9
Zeta5Irrational
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U_2_10
Zeta5Irrational
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U_2_11
Zeta5Irrational
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U_2_12
Zeta5Irrational
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U_2_13
Zeta5Irrational
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U_2_14
Zeta5Irrational
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U_2_15
Zeta5Irrational
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U_2_16
Zeta5Irrational
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U_2
Zeta5Irrational
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U_3_1
Zeta5Irrational
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U_3_2
Zeta5Irrational
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U_3_3
Zeta5Irrational
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U_3_4
Zeta5Irrational
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U_3_5
Zeta5Irrational
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U_3_6
Zeta5Irrational
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U_3_7
Zeta5Irrational
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U_3_8
Zeta5Irrational
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U_3_9
Zeta5Irrational
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U_3_10
Zeta5Irrational
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U_3_11
Zeta5Irrational
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U_3_12
Zeta5Irrational
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U_3_13
Zeta5Irrational
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U_3_14
Zeta5Irrational
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U_3_15
Zeta5Irrational
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U_3_16
Zeta5Irrational
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U_3
Zeta5Irrational
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U_4_1
Zeta5Irrational
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U_4_2
Zeta5Irrational
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U_4_3
Zeta5Irrational
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U_4_4
Zeta5Irrational
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U_4_5
Zeta5Irrational
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U_4_6
Zeta5Irrational
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U_4_7
Zeta5Irrational
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U_4_8
Zeta5Irrational
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U_4_9
Zeta5Irrational
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U_4_10
Zeta5Irrational
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U_4_11
Zeta5Irrational
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U_4_12
Zeta5Irrational
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U_4_13
Zeta5Irrational
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U_4_14
Zeta5Irrational
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U_4_15
Zeta5Irrational
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U_4_16
Zeta5Irrational
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U_4
Zeta5Irrational
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U_5_1
Zeta5Irrational
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U_5_2
Zeta5Irrational
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U_5_3
Zeta5Irrational
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U_5_4
Zeta5Irrational
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U_5_5
Zeta5Irrational
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U_5_6
Zeta5Irrational
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U_5_7
Zeta5Irrational
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U_5_8
Zeta5Irrational
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U_5_9
Zeta5Irrational
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U_5_10
Zeta5Irrational
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U_5_11
Zeta5Irrational
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U_5_12
Zeta5Irrational
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U_5_13
Zeta5Irrational
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U_5_14
Zeta5Irrational
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U_5_15
Zeta5Irrational
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U_5_16
Zeta5Irrational
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U_5
Zeta5Irrational
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U_6_1
Zeta5Irrational
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U_6_2
Zeta5Irrational
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U_6_3
Zeta5Irrational
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U_6_4
Zeta5Irrational
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U_6_5
Zeta5Irrational
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U_6_6
Zeta5Irrational
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U_6_7
Zeta5Irrational
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U_6_8
Zeta5Irrational
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U_6_9
Zeta5Irrational
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U_6_10
Zeta5Irrational
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U_6_11
Zeta5Irrational
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U_6_12
Zeta5Irrational
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U_6_13
Zeta5Irrational
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U_6_14
Zeta5Irrational
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U_6_15
Zeta5Irrational
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U_6_16
Zeta5Irrational
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U_6
Zeta5Irrational
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U_7_1
Zeta5Irrational
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U_7_2
Zeta5Irrational
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U_7_3
Zeta5Irrational
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U_7_4
Zeta5Irrational
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U_7_5
Zeta5Irrational
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U_7_6
Zeta5Irrational
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U_7_7
Zeta5Irrational
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U_7_8
Zeta5Irrational
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U_7_9
Zeta5Irrational
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U_7_10
Zeta5Irrational
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U_7_11
Zeta5Irrational
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U_7_12
Zeta5Irrational
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U_7_13
Zeta5Irrational
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U_7_14
Zeta5Irrational
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U_7_15
Zeta5Irrational
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U_7_16
Zeta5Irrational
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U_7
Zeta5Irrational
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U_8_1
Zeta5Irrational
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U_8_2
Zeta5Irrational
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U_8_3
Zeta5Irrational
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U_8_4
Zeta5Irrational
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U_8_5
Zeta5Irrational
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U_8_6
Zeta5Irrational
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U_8_7
Zeta5Irrational
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U_8_8
Zeta5Irrational
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U_8_9
Zeta5Irrational
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U_8_10
Zeta5Irrational
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U_8_11
Zeta5Irrational
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U_8_12
Zeta5Irrational
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U_8_13
Zeta5Irrational
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U_8_14
Zeta5Irrational
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U_8_15
Zeta5Irrational
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U_8_16
Zeta5Irrational
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U_8
Zeta5Irrational
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U_9_1
Zeta5Irrational
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U_9_2
Zeta5Irrational
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U_9_3
Zeta5Irrational
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U_9_4
Zeta5Irrational
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U_9_5
Zeta5Irrational
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U_9_6
Zeta5Irrational
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U_9_7
Zeta5Irrational
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U_9_8
Zeta5Irrational
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U_9_9
Zeta5Irrational
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U_9_10
Zeta5Irrational
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U_9_11
Zeta5Irrational
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U_9_12
Zeta5Irrational
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U_9_13
Zeta5Irrational
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U_9_14
Zeta5Irrational
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U_9_15
Zeta5Irrational
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U_9_16
Zeta5Irrational
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U_9
Zeta5Irrational
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U_10_1
Zeta5Irrational
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U_10_2
Zeta5Irrational
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U_10_3
Zeta5Irrational
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U_10_4
Zeta5Irrational
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U_10_5
Zeta5Irrational
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U_10_6
Zeta5Irrational
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U_10_7
Zeta5Irrational
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U_10_8
Zeta5Irrational
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U_10_9
Zeta5Irrational
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U_10_10
Zeta5Irrational
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U_10_11
Zeta5Irrational
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U_10_12
Zeta5Irrational
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U_10_13
Zeta5Irrational
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U_10_14
Zeta5Irrational
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U_10_15
Zeta5Irrational
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U_10_16
Zeta5Irrational
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U_10
Zeta5Irrational
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U_11_1
Zeta5Irrational
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U_11_2
Zeta5Irrational
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U_11_3
Zeta5Irrational
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U_11_4
Zeta5Irrational
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U_11_5
Zeta5Irrational
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U_11_6
Zeta5Irrational
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U_11_7
Zeta5Irrational
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U_11_8
Zeta5Irrational
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U_11_9
Zeta5Irrational
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U_11_10
Zeta5Irrational
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U_11_11
Zeta5Irrational
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U_11_12
Zeta5Irrational
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U_11_13
Zeta5Irrational
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U_11_14
Zeta5Irrational
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U_11_15
Zeta5Irrational
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U_11_16
Zeta5Irrational
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U_11
Certified arcsine potential bounds (U00)
#
source
theorem
Zeta5Irrational
.
U_0_1
:
Uω
(
aρ
1
)
(
bρ
1
)
0
≤
-
(
12712663703508542025099
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_2
:
Uω
(
aρ
2
)
(
bρ
2
)
0
≤
-
(
1962983986998948336949
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_3
:
Uω
(
aρ
3
)
(
bρ
3
)
0
≤
-
(
46267520391835680481277
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_4
:
Uω
(
aρ
4
)
(
bρ
4
)
0
≤
-
(
5359553913723040081263
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_5
:
Uω
(
aρ
5
)
(
bρ
5
)
0
≤
-
(
39275139978819449528723
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_6
:
Uω
(
aρ
6
)
(
bρ
6
)
0
≤
-
(
7143339604213661208809
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_7
:
Uω
(
aρ
7
)
(
bρ
7
)
0
≤
-
(
32351824960621028314427
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_8
:
Uω
(
aρ
8
)
(
bρ
8
)
0
≤
-
(
7315709960795885799737
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_9
:
Uω
(
aρ
9
)
(
bρ
9
)
0
≤
-
(
13245699571552860366621
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_10
:
Uω
(
aρ
10
)
(
bρ
10
)
0
≤
-
(
4811289393237367803367
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_11
:
Uω
(
aρ
11
)
(
bρ
11
)
0
≤
-
(
21964674985840736154593
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_12
:
Uω
(
aρ
12
)
(
bρ
12
)
0
≤
-
(
4043272987456227879851
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_13
:
Uω
(
aρ
13
)
(
bρ
13
)
0
≤
-
(
4702168270076774782451
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_14
:
Uω
(
aρ
14
)
(
bρ
14
)
0
≤
-
(
2217195343887504332233
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_15
:
Uω
(
aρ
15
)
(
bρ
15
)
0
≤
-
(
16999000975580328413317
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0_16
:
Uω
(
aρ
16
)
(
bρ
16
)
0
≤
-
(
1036850562756824007821
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_0
:
Uρ
0
≤
-
(
27385656762631359502577
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7174131
/
200000000000
)
≤
-
(
50911373318893302541507
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7174131
/
200000000000
)
≤
-
(
49135098078763348601453
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7174131
/
200000000000
)
≤
-
(
46327645463733161241931
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7174131
/
200000000000
)
≤
-
(
42936065490516840879561
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7174131
/
200000000000
)
≤
-
(
7866842272424100993973
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7174131
/
200000000000
)
≤
-
(
1431007411209519275791
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7174131
/
200000000000
)
≤
-
(
40512196593284858497
/
12500000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7174131
/
200000000000
)
≤
-
(
14660146048277734861007
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7174131
/
200000000000
)
≤
-
(
5309696547214735406207
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7174131
/
200000000000
)
≤
-
(
24113296642670996497633
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7174131
/
200000000000
)
≤
-
(
5505358080027453352527
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7174131
/
200000000000
)
≤
-
(
10136579785760210337841
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7174131
/
200000000000
)
≤
-
(
75462414402452552303
/
40000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7174131
/
200000000000
)
≤
-
(
8897340153662197454051
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7174131
/
200000000000
)
≤
-
(
8528150055396143754779
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7174131
/
200000000000
)
≤
-
(
16647030518034101616959
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_1
:
Uρ
(
7174131
/
200000000000
)
≤
-
(
27439164557690169188743
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
21522393
/
400000000000
)
≤
-
(
25470941903623612969977
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
21522393
/
400000000000
)
≤
-
(
49165552758527775040867
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
21522393
/
400000000000
)
≤
-
(
46358019844614904236579
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
21522393
/
400000000000
)
≤
-
(
2148318328187890160217
/
500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
21522393
/
400000000000
)
≤
-
(
19682243075206791475787
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
21522393
/
400000000000
)
≤
-
(
35805525469465709732703
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
21522393
/
400000000000
)
≤
-
(
2027518787259263390593
/
625000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
21522393
/
400000000000
)
≤
-
(
183445131700844988143
/
62500000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
21522393
/
400000000000
)
≤
-
(
13290010338352078837471
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
21522393
/
400000000000
)
≤
-
(
24145699467680874899253
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
21522393
/
400000000000
)
≤
-
(
22054972789443236367197
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
21522393
/
400000000000
)
≤
-
(
20308097898670736143723
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
21522393
/
400000000000
)
≤
-
(
18902136129446577859961
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
21522393
/
400000000000
)
≤
-
(
17832860086660498318657
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
21522393
/
400000000000
)
≤
-
(
17095939417607986453457
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
21522393
/
400000000000
)
≤
-
(
4171908594379160841333
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_2
:
Uρ
(
21522393
/
400000000000
)
≤
-
(
27469213456810556512581
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
7174131
/
100000000000
)
≤
-
(
50972496086807483658427
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
7174131
/
100000000000
)
≤
-
(
49196146549098639705941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
7174131
/
100000000000
)
≤
-
(
11597151895750616494561
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
7174131
/
100000000000
)
≤
-
(
429970042250669996509
/
100000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
7174131
/
100000000000
)
≤
-
(
9848821862142350549383
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
7174131
/
100000000000
)
≤
-
(
17918336888719840156369
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
7174131
/
100000000000
)
≤
-
(
32472061297251956228297
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
7174131
/
100000000000
)
≤
-
(
14691979007557547771577
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
7174131
/
100000000000
)
≤
-
(
26614221306142328686011
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
7174131
/
100000000000
)
≤
-
(
24182014718027931878799
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
7174131
/
100000000000
)
≤
-
(
22094280725116768354743
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
7174131
/
100000000000
)
≤
-
(
20351605328285829232061
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
7174131
/
100000000000
)
≤
-
(
18951542575309468805869
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
7174131
/
100000000000
)
≤
-
(
4472659389032352227177
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
7174131
/
100000000000
)
≤
-
(
17165962668190914916479
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
7174131
/
100000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_3
:
Uρ
(
7174131
/
100000000000
)
≤
-
(
27504182777521718667561
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
14825913
/
200000000000
)
≤
-
(
50976580114456355348677
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
14825913
/
200000000000
)
≤
-
(
1968009239129451754533
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
14825913
/
200000000000
)
≤
-
(
46392696947832317425569
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
14825913
/
200000000000
)
≤
-
(
21500554949887790778621
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
14825913
/
200000000000
)
≤
-
(
9849857532743252544909
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
14825913
/
200000000000
)
≤
-
(
17920442983008148696533
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
14825913
/
200000000000
)
≤
-
(
8119097615340380036387
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
14825913
/
200000000000
)
≤
-
(
2938847159611171861641
/
1000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
14825913
/
200000000000
)
≤
-
(
26619015513642536754779
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
14825913
/
200000000000
)
≤
-
(
24187231062536165434337
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
14825913
/
200000000000
)
≤
-
(
22100139537083282243419
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
14825913
/
200000000000
)
≤
-
(
20358481952867747024019
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
14825913
/
200000000000
)
≤
-
(
1896017617456667321
/
1000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
14825913
/
200000000000
)
≤
-
(
8951472576252204766649
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
14825913
/
200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_4_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
14825913
/
200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_4
:
Uρ
(
14825913
/
200000000000
)
≤
-
(
13755063908664878567303
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
78667711
/
1000000000000
)
≤
-
(
50984345571698067906027
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
78667711
/
1000000000000
)
≤
-
(
24603999536613700227217
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
78667711
/
1000000000000
)
≤
-
(
11600119550061847085141
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
78667711
/
1000000000000
)
≤
-
(
10752232140308635873551
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
78667711
/
1000000000000
)
≤
-
(
1231479042758063468317
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
78667711
/
1000000000000
)
≤
-
(
17924466660160898289283
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
78667711
/
1000000000000
)
≤
-
(
32484685260499643578059
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
78667711
/
1000000000000
)
≤
-
(
29397157238015419786121
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
78667711
/
1000000000000
)
≤
-
(
13314151100942602912333
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
78667711
/
1000000000000
)
≤
-
(
12098720823673483752803
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
78667711
/
1000000000000
)
≤
-
(
22111813113724319814737
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
78667711
/
1000000000000
)
≤
-
(
20372656090798980590323
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
78667711
/
1000000000000
)
≤
-
(
74138612372821309739
/
39062500000000000000
)
source
theorem
Zeta5Irrational
.
U_5_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
78667711
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
78667711
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_5_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
78667711
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_5
:
Uρ
(
78667711
/
1000000000000
)
≤
-
(
6880237177330760400461
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
85815639
/
1000000000000
)
≤
-
(
10199318023215378615661
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
85815639
/
1000000000000
)
≤
-
(
49220252785694328798381
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
85815639
/
1000000000000
)
≤
-
(
23206381385399735792023
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
85815639
/
1000000000000
)
≤
-
(
21510644677510011539679
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
85815639
/
1000000000000
)
≤
-
(
315358759639002277023
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
85815639
/
1000000000000
)
≤
-
(
35861726381563634540717
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
85815639
/
1000000000000
)
≤
-
(
32497938712340042706679
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
85815639
/
1000000000000
)
≤
-
(
29411142977102807541847
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
85815639
/
1000000000000
)
≤
-
(
6660859717657794390429
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
85815639
/
1000000000000
)
≤
-
(
4842885154875601165287
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
85815639
/
1000000000000
)
≤
-
(
4426395685635096752489
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
85815639
/
1000000000000
)
≤
-
(
5099845272237973435631
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
85815639
/
1000000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
85815639
/
1000000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
85815639
/
1000000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_6_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
85815639
/
1000000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_6
:
Uρ
(
85815639
/
1000000000000
)
≤
-
(
27537256492584381318183
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
19269871
/
200000000000
)
≤
-
(
25507332223904240133213
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
19269871
/
200000000000
)
≤
-
(
30773969948474174723
/
6250000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
19269871
/
200000000000
)
≤
-
(
23215465152356514085683
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
19269871
/
200000000000
)
≤
-
(
21519804344189444452201
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
19269871
/
200000000000
)
≤
-
(
315507654980808174019
/
80000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
19269871
/
200000000000
)
≤
-
(
8970212877133828550347
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
19269871
/
200000000000
)
≤
-
(
32517914390293590790913
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
19269871
/
200000000000
)
≤
-
(
5886499166201685248543
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
19269871
/
200000000000
)
≤
-
(
42667279831309115271
/
16000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
19269871
/
200000000000
)
≤
-
(
606049641346655113191
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
19269871
/
200000000000
)
≤
-
(
22167783768353140953257
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
19269871
/
200000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
19269871
/
200000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
19269871
/
200000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
19269871
/
200000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_7_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
19269871
/
200000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_7
:
Uρ
(
19269871
/
200000000000
)
≤
-
(
6889957110960769864817
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
55761057
/
500000000000
)
≤
-
(
51040761523417755773563
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
55761057
/
500000000000
)
≤
-
(
12316127176026878844577
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
55761057
/
500000000000
)
≤
-
(
46457234677264518279157
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
55761057
/
500000000000
)
≤
-
(
21533108620975871780131
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
55761057
/
500000000000
)
≤
-
(
1578625177908711877893
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
55761057
/
500000000000
)
≤
-
(
897725036415218135001
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
55761057
/
500000000000
)
≤
-
(
16273851117356851483897
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
55761057
/
500000000000
)
≤
-
(
7366260065742286983877
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
55761057
/
500000000000
)
≤
-
(
26704512040091709661141
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
55761057
/
500000000000
)
≤
-
(
24289887987277840384009
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
55761057
/
500000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
55761057
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
55761057
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
55761057
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
55761057
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_8_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
55761057
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_8
:
Uρ
(
55761057
/
500000000000
)
≤
-
(
5517964148274383717247
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
33336783
/
250000000000
)
≤
-
(
10215686268319257150869
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
33336783
/
250000000000
)
≤
-
(
9860463027542453411111
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
33336783
/
250000000000
)
≤
-
(
46495358210023539812961
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
33336783
/
250000000000
)
≤
-
(
21552482231997735895661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
33336783
/
250000000000
)
≤
-
(
19752753975247025066761
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
33336783
/
250000000000
)
≤
-
(
17975423546595465917579
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
33336783
/
250000000000
)
≤
-
(
6518591326819602089771
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
33336783
/
250000000000
)
≤
-
(
14758258563778426940663
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
33336783
/
250000000000
)
≤
-
(
5353890477833411319021
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
33336783
/
250000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
33336783
/
250000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
33336783
/
250000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
33336783
/
250000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
33336783
/
250000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
33336783
/
250000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_9_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
33336783
/
250000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_9
:
Uρ
(
33336783
/
250000000000
)
≤
-
(
6907239882122678168379
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
82548843
/
500000000000
)
≤
-
(
51133510883215947535941
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
82548843
/
500000000000
)
≤
-
(
24678851808854408309657
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
82548843
/
500000000000
)
≤
-
(
5818929893213673684367
/
1250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
82548843
/
500000000000
)
≤
-
(
43162374832339657159807
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
82548843
/
500000000000
)
≤
-
(
39565324440062555612331
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
82548843
/
500000000000
)
≤
-
(
36014967106290014530057
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
82548843
/
500000000000
)
≤
-
(
8166283330872021732883
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
82548843
/
500000000000
)
≤
-
(
592129837744490728151
/
200000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
82548843
/
500000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
82548843
/
500000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
82548843
/
500000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
82548843
/
500000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
82548843
/
500000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
82548843
/
500000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
82548843
/
500000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_10_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
82548843
/
500000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_10
:
Uρ
(
82548843
/
500000000000
)
≤
-
(
1107174623610650247861
/
400000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_1
:
Uω
(
aρ
1
)
(
bρ
1
)
(
53051547
/
250000000000
)
≤
-
(
10243169805498114481613
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_2
:
Uω
(
aρ
2
)
(
bρ
2
)
(
53051547
/
250000000000
)
≤
-
(
24720375964658024966207
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_3
:
Uω
(
aρ
3
)
(
bρ
3
)
(
53051547
/
250000000000
)
≤
-
(
46636055244366115624033
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_4
:
Uω
(
aρ
4
)
(
bρ
4
)
(
53051547
/
250000000000
)
≤
-
(
21624996699245277221649
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_5
:
Uω
(
aρ
5
)
(
bρ
5
)
(
53051547
/
250000000000
)
≤
-
(
39658512652531402453443
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_6
:
Uω
(
aρ
6
)
(
bρ
6
)
(
53051547
/
250000000000
)
≤
-
(
18059438196821077208529
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_7
:
Uω
(
aρ
7
)
(
bρ
7
)
(
53051547
/
250000000000
)
≤
-
(
6558653041860765113421
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_8
:
Uω
(
aρ
8
)
(
bρ
8
)
(
53051547
/
250000000000
)
≤
-
(
14956372202312055299661
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_9
:
Uω
(
aρ
9
)
(
bρ
9
)
(
53051547
/
250000000000
)
≤
-
(
26986659976834617141369
/
10000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_10
:
Uω
(
aρ
10
)
(
bρ
10
)
(
53051547
/
250000000000
)
≤
-
(
12224255358108186379559
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_11
:
Uω
(
aρ
11
)
(
bρ
11
)
(
53051547
/
250000000000
)
≤
-
(
4457298065613116122159
/
2000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_12
:
Uω
(
aρ
12
)
(
bρ
12
)
(
53051547
/
250000000000
)
≤
-
(
640305991230515290559
/
312500000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_13
:
Uω
(
aρ
13
)
(
bρ
13
)
(
53051547
/
250000000000
)
≤
-
(
4762195995179309567439
/
2500000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_14
:
Uω
(
aρ
14
)
(
bρ
14
)
(
53051547
/
250000000000
)
≤
-
(
8977612329965299982791
/
5000000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_15
:
Uω
(
aρ
15
)
(
bρ
15
)
(
53051547
/
250000000000
)
≤
-
(
268788866070650094343
/
156250000000000000000
)
source
theorem
Zeta5Irrational
.
U_11_16
:
Uω
(
aρ
16
)
(
bρ
16
)
(
53051547
/
250000000000
)
≤
-
(
419641552645073499393
/
250000000000000000000
)
source
theorem
Zeta5Irrational
.
U_11
:
Uρ
(
53051547
/
250000000000
)
≤
-
(
13871992575163789919237
/
5000000000000000000000
)