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The conjecture states that this phenomenon of repeated values holds for every ''n''.
{|class="wikitable"
|''n''
|numbers ''k'' such that φ(''k'') = ''n''
|number of such ''k''s
|-
|1
|1, 2
|2
|-
|2
|3, 4, 6
|3
|-
|4
|5, 8, 10, 12
|4
|-
|6
|7, 9, 14, 18
|4
|-
|8
|15, 16, 20, 24, 30
|5
|-
|10
|11, 22
|2
|-
|12
|13, 21, 26, 28, 36, 42
|6
|-
|16
|17, 32, 34, 40, 48, 60
|6
|-
|18
|19, 27, 38, 54
|4
|-
|20
|25, 33, 44, 50, 66
|5
|-
|22
|23, 46
|2
|-
|24
|35, 39, 45, 52, 56, 70, 72, 78, 84, 90
|10
|-
|28
|29, 58
|2
|-
|30
|31, 62
|2
|-
|32
|51, 64, 68, 80, 96, 102, 120
|7
|-
|36
|37, 57, 63, 74, 76, 108, 114, 126
|8
|-
|40
|41, 55, 75, 82, 88, 100, 110, 132, 150
|9
|-
|42
|43, 49, 86, 98
|4
|-
|44
|69, 92, 138
|3
|-
|46
|47, 94
|2
|-
|48
|65, 104, 105, 112, 130, 140, 144, 156, 168, 180, 210
|11
|-
|52
|53, 106
|2
|-
|54
|81, 162
|2
|-
|56
|87, 116, 174
|3
|-
|58
|59, 118
|2
|-
|60
|61, 77, 93, 99, 122, 124, 154, 186, 198
|9
|-
|64
|85, 128, 136, 160, 170, 192, 204, 240
|8
|-
|66
|67, 134
|2
|-
|70
|71, 142
|2
|-
|72
|73, 91, 95, 111, 117, 135, 146, 148, 152, 182, 190, 216, 222, 228, 234, 252, 270
|17
|}
==Lower bounds==
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