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(Created page with "Eleven (11) is a positive integer one more than 10 and one less than 12. ==Properties== 11 is the fifth prime number (between 7 and 13). It is a member o...")
 
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11 is the fifth [[Lucas number]], between [[7]] and [[18]].
 
11 is the fifth [[Lucas number]], between [[7]] and [[18]].
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11 is the smallest non-trivial repdigit. Multiples of it up through [[99]] are also repdigits. 11 is a the first {{w|repunit}} number.
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11 is also equal to \(n(2)\) in the [[block subsequence theorem]].
   
 
== In googology ==
 
== In googology ==
 
In Greek-based number-naming systems, is associated with prefix "'''endeka-'''", and with prefix "'''undec-'''" in Latin systems.
 
In Greek-based number-naming systems, is associated with prefix "'''endeka-'''", and with prefix "'''undec-'''" in Latin systems.
 
Wiki user [[User:Denis Maksudov|Denis Maksudov]] calls this number '''zeralum''', and it's equal to f<sup>0</sup>(10) using the [[fast-growing hierarchy]].<ref>[http://sites.google.com/site/travelingtotheinfinity/my-system-of-number-names Traveling To The Infinity]</ref>
 
   
 
There are several methods to test for divisibility by 11. The easiest is to alternately add and subtract digits, starting from the left, and starting at a subtraction. So 429 is aa multiple of 11 since 4-2+9 = 11. Another way is to add groups of two digits, starting from the right.
 
There are several methods to test for divisibility by 11. The easiest is to alternately add and subtract digits, starting from the left, and starting at a subtraction. So 429 is aa multiple of 11 since 4-2+9 = 11. Another way is to add groups of two digits, starting from the right.
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== See also ==
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*[[Eleventy]]
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*[[Eleventyplex]]

Revision as of 12:59, February 6, 2018

Eleven (11) is a positive integer one more than 10 and one less than 12.

Properties

11 is the fifth prime number (between 7 and 13). It is a member of a twin prime pair with 13.

11 is the first prime that isn't a Mersenne exponent, since 211-1 = [[2047] = 23*89.

11 is the fifth Lucas number, between 7 and 18.

11 is the smallest non-trivial repdigit. Multiples of it up through 99 are also repdigits. 11 is a the first repunit number.

11 is also equal to \(n(2)\) in the block subsequence theorem.

In googology

In Greek-based number-naming systems, is associated with prefix "endeka-", and with prefix "undec-" in Latin systems.

There are several methods to test for divisibility by 11. The easiest is to alternately add and subtract digits, starting from the left, and starting at a subtraction. So 429 is aa multiple of 11 since 4-2+9 = 11. Another way is to add groups of two digits, starting from the right.

See also

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