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    Stoneham Number

    Definition

    A Stoneham number is a number α_(b, c) of the form α_(b, c) = sum_(k = 1)^∞ 1/(b^(c^k) c^k), where b, c>1 are relatively prime positive integers. Stoneham proved that α_(b, c) is b-normal whenever c is an odd prime and p is a primitive root of c^2. This result was extended by Bailey and Crandall, who showed that α_(b, c) is normal for all positive integers b and c provided only that b and c are relatively prime.

    Related term

    normal number

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