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204 (two hundred [and] four) is the natural number following 203 and preceding 205.
204 is a square pyramidal number: 204 balls may be stacked in a pyramid whose base is an 8 × 8 square.[1] Its square, 2042 = 41616, is the fourth square triangular number.[2] As a figurate number, 204 is also a nonagonal number[3] and a truncated triangular pyramid number.[4]
There are exactly 204 irreducible quintic polynomials over a four-element field,[5] exactly 204 ways to place three non-attacking chess queens on a 5 × 5 board,[6] exactly 204 squares of an infinite chess move that are eight knight's moves from the center,[7] exactly 204 strings of length 11 over a three-letter alphabet with no consecutively-repeated substring,[8] and exactly 204 ways of immersing an oriented circle into the oriented plane so that it has four double points.[9]
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.[10]
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