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    Suzanne Set

    Definition

    The nth Suzanne set S_n is defined as the set of composite numbers x for which n|S(x) and n|S_p(x), where x | = | a_0 + a_1(10^1) + ... + a_d(10^d) | = | p_1 p_2 ...p_m, and S(x) | = | sum_(j = 0)^d a_j S_p(x) | = | sum_(i = 1)^m S(p_i). Every Suzanne set has an infinite number of elements. The following table gives the first few Suzanne numbers in S_n for small n.

    Related term

    Monica set

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