Repdigit (no ontology)
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| - | A '''repdigit''', also known as a '''monomial number''', is a [[polynomial number]] of order [[1]], with all digits the same. As such, there are 9 repdigits for each digit-length of number; repdigits occupy 10<sup>1-n</sup> of the population of ''n''-digit numbers. | + | A '''repdigit''', also known as a '''monomial number''', is a [[polynomial number]] of order [[1]], with all digits the same. As such, there are 9 repdigits for each digit-length of number; repdigits occupy 10<sup>1-''n''</sup> of the population of ''n''-digit numbers. |
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| + | A repdigit with all digits 1 is also called a ''repunit''. | ||
Repdigits up to four digits long are listed as follows: | Repdigits up to four digits long are listed as follows: | ||
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*[[11]], [[22]], [[33]], [[44]], [[55]], [[66]], [[77]], [[88]], [[99]] | *[[11]], [[22]], [[33]], [[44]], [[55]], [[66]], [[77]], [[88]], [[99]] | ||
*[[111]], [[222]], [[333]], [[444]], [[555]], [[666]], [[777]], [[888]], [[999]] | *[[111]], [[222]], [[333]], [[444]], [[555]], [[666]], [[777]], [[888]], [[999]] | ||
| - | *[[ | + | *[[1,111]], [[2,222]], [[3,333]], [[4,444]], [[5,555]], [[6,666]], [[7,777]], [[8,888]], [[9,999]] |
[[Category:Polynomial numbers|1]] | [[Category:Polynomial numbers|1]] | ||
Latest revision as of 09:54, 8 July 2009
A repdigit, also known as a monomial number, is a polynomial number of order 1, with all digits the same. As such, there are 9 repdigits for each digit-length of number; repdigits occupy 101-n of the population of n-digit numbers.
A repdigit with all digits 1 is also called a repunit.
Repdigits up to four digits long are listed as follows:
