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Smith multiples of a class of primes with small digital sum. (English) Zbl 1401.11013
Summary: Using prime numbers whose digits are zeros and ones, we demonstrate how to construct integers \(m\) for which \(mP\) is a Smith number for any prime \(P\) with a fixed, small digital sum. Conversely, using numbers with small digital sums, we can obtain Smith multiples of a given prime whose digits are zeros and ones. Our approach relies on small digital sums in order that every multiplication process is free from carries.
MSC:
11A63 Radix representation; digital problems
11A41 Primes
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