57 (number)

Template:Infobox number 57 (fifty-seven) is the natural number following 56 and preceding 58. It is a composite number.

In mathematics

57 is semiprime,<ref>Template:Cite OEIS</ref> a Blum integer,<ref>Template:Cite OEIS</ref> and a Leyland number.<ref>Template:Cite OEIS</ref>

The split Lie algebra [[E7½|E_{Template:Sfrac}]] has a 57-dimensional Heisenberg algebra as its nilradical, and the smallest possible homogeneous space for E₈ is also 57-dimensional.<ref>Template:Citation</ref>

Although fifty-seven is not prime, it is jokingly known as the Grothendieck prime after a legend in which the mathematician Alexander Grothendieck gave it as an example of a prime number, not realizing it was divisible by three.<ref>Template:Cite journal</ref> The same error was made by another famous mathematician, Hermann Weyl, in a published article.<ref>Template:Cite journal</ref>

References

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