116 (number)

From Wikipedia, the free encyclopedia
(Redirected from Number 116)
Jump to navigation Jump to search

Script error: No such module "redirect hatnote". Template:Infobox number 116 (one hundred [and] sixteen) is the natural number following 115 and preceding 117.

In mathematics

116 is a noncototient, meaning that there is no solution to the equation mφ(m) = nScript error: No such module "Check for unknown parameters"., where Template:Mvar stands for Euler's totient function.[1]

116! + 1 is a factorial prime.[2]

There are 116 ternary Lyndon words of length six, and 116 irreducible polynomials of degree six over a three-element field, which form the basis of a free Lie algebra of dimension 116.[3]

There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers.[4]

There are 116 different 6×6 Costas arrays.[5]

See also

References

<templatestyles src="Reflist/styles.css" />

  1. Script error: No such module "citation/CS1".Script error: No such module "Check for unknown parameters"..
  2. Script error: No such module "citation/CS1".Script error: No such module "Check for unknown parameters"..
  3. Script error: No such module "citation/CS1".Script error: No such module "Check for unknown parameters"..
  4. Script error: No such module "citation/CS1".Script error: No such module "Check for unknown parameters"..
  5. Script error: No such module "citation/CS1".Script error: No such module "Check for unknown parameters"..

Script error: No such module "Check for unknown parameters".

Template:Integers