Multiples of repunits as sum of powers of ten
The sequence Pk,n = 1 + 10k + 102k + ⋯ + 10(n−1)k can be used to generate infinitely many Smith numbers with the help of a set of suitable multipliers. We prove the existence of such a set, consisting of constant multiples of repunits, that generalizes to any value of k ⩾ 9. This fact complements th...
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2014-07-01
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| Series: | Arab Journal of Mathematical Sciences |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516613000339 |