Corpus ID: 15911584

2178 And All That

@article{Sloane20132178AA,
  title={2178 And All That},
  author={N. Sloane},
  journal={arXiv: Number Theory},
  year={2013}
}
  • N. Sloane
  • Published 2013
  • Mathematics
  • arXiv: Number Theory
  • For integers g >= 3, k >= 2, call a number N a (g,k)-reverse multiple if the reversal of N in base g is equal to k times N. The numbers 1089 and 2178 are the two smallest (10,k)-reverse multiples, their reversals being 9801 = 9x1089 and 8712 = 4x2178. In 1992, A. L. Young introduced certain trees in order to study the problem of finding all (g,k)-reverse multiples. By using modified versions of her trees, which we call Young graphs, we determine the possible values of k for bases g = 2 through… CONTINUE READING

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