204 (number)
204 (two hundred [and] four) is the natural number following 203 and preceding 205.
In mathematics
204 is a refactorable number.[1] 204 is a square pyramidal number: 204 balls may be stacked in a pyramid whose base is an 8 × 8 square.[2] Its square, 2042 = 41616, is the fourth square triangular number.[3] As a figurate number, 204 is also a nonagonal number[4] and a truncated triangular pyramid number.[5] 204 is a member of the Mian-Chowla sequence.[6]
There are exactly 204 irreducible quintic polynomials over a four-element field,[7] exactly 204 ways to place three non-attacking chess queens on a 5 × 5 board,[8] exactly 204 squares of an infinite chess move that are eight knight's moves from the center,[9] exactly 204 strings of length 11 over a three-letter alphabet with no consecutively-repeated substring,[10] and exactly 204 ways of immersing an oriented circle into the oriented plane so that it has four double points.[11]
Both 204 and its square are sums of a pair of twin primes: 204 = 101 + 103 and 2042 = 41616 = 20807 + 20809. The only smaller numbers with the same property are 12 and 84.[12]
204 is a sum of all the perfect squares from 1 to 64 (i.e. 12 + 22 + 32 + 42 + 52 + 62 + 72 + 82 = 204).
In other fields
- 204 is the HTTP status code indicating the request was successfully fulfilled and that there is no additional content to send in the response payload body.[13]
References
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- ↑ Script error: No such module "citation/CS1".Script error: No such module "Check for unknown parameters".
- ↑ Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content, itef.org, retrieved 2014-07-29.
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