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单词 Repdigit
释义

repdigit


Given base b, a number of the form d(bn-1b-1) for n>0 and 0<d<b is written using using the digit d only, n times in that base and is therefore a repdigit. The term, short for ”repeated digit,” is credited to Beiler’s book Recreations in the theory of numbers, in chapter 11.

When d=1, the resulting repdigit is called a repunitMathworldPlanetmath. Only repunits can also be prime (and then they are rare). No other repdigit can be prime since it is obvious that it is a multipleMathworldPlanetmath of a repunit.

In a trivial way, all repdigits are palindromic numbersMathworldPlanetmath.

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更新时间:2025/5/5 0:21:34