Revfan9
12-31-2009, 04:40 PM
The number 13717421/1111111111 is quite curious: Its decimal representation is all the digits in order, repeated over and over again. In other words, 0.0123456789012345678901234567890....
The number 1/3 doesn't look like anything special at first, until you look at its base 2 decimal expansion, which is starkingly similar to the example above. 0.0101010101... For the purposes of this exercise, we shall call numbers which repeat all the digits in a given base in ascending order a Nigerian Number.
Other examples of Nigerian numbers include 5/26, 9/85, 97/1562, which are the Nigerian numbers of bases 3, 4, and 5 respectively. Base 16 (Hexadecimal's) Nigerian number is 5465701947765793/1229782938247303441.
What is the fraction form of the nigerian number of base 42?
The number 1/3 doesn't look like anything special at first, until you look at its base 2 decimal expansion, which is starkingly similar to the example above. 0.0101010101... For the purposes of this exercise, we shall call numbers which repeat all the digits in a given base in ascending order a Nigerian Number.
Other examples of Nigerian numbers include 5/26, 9/85, 97/1562, which are the Nigerian numbers of bases 3, 4, and 5 respectively. Base 16 (Hexadecimal's) Nigerian number is 5465701947765793/1229782938247303441.
What is the fraction form of the nigerian number of base 42?