循環單位
Sign in to saveIn recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for "repeated unit" and was coined in 1966 by Albert H. Beiler in his book Recreations in the Theory of Numbers.
Key facts
- Integer sequence.name
- Repunit prime
- Integer sequence.terms_number
- 11
- Integer sequence.con_number
- Infinite
- Integer sequence.first_terms
- 11, 1111111111111111111, 11111111111111111111111
- Integer sequence.largest_known_term
- (108177207−1)/9
- Integer sequence.OEIS
- A004022
- Integer sequence.OEIS_name
- Primes of the form (10^n − 1)/9
via Wikipedia infobox
Wikidata facts
- Subclass of
- palindromic number
Show 3 more facts
- facet of
- 1
- maintained by WikiProject
- WikiProject Mathematics
- invariant under
- circular shift
Sources (1)
via Wikidata · CC0
Article · 中文
在趣味數學中，循環單位是由1組成的數如1, 11, 111, 1111等。 1966年，A.H. Beiler稱這類數為repunit，表示repeated unit。 對於n≥1，循環單位可以這樣定義： 亦可以用遞歸的方法： 其中是进位制的底。在這篇文章，循環單位都是指十进制中的。
Abstract from DBpedia / Wikipedia · CC BY-SA