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The sequence of numbers ''a<sub>n</sub>'' begins
: 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 4, 1, 2, 2, 5, 1, 4, 1, 4, 2, 2, 1, 7, 2, 2, 3, 4, 1, 5, 1, 7, 2, 2, 2, 9, 1, 2, 2, ... {{OEIS|id=A001055}}.
Oppenheim also claimed an upper bound on ''a<sub>n</sub>'', of the form
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