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57 (number)
| Field | Value |
|---|---|
| number | 57 |
| divisor | 1, 3, 19, 57 |
57 (fifty-seven) is the natural number following 56 and preceding 58. It is a composite number.
In mathematics
57 is a semiprime, a Blum integer, and a Leyland number.
The split Lie algebra E has a 57-dimensional Heisenberg algebra as its nilradical, and the smallest possible homogeneous space for E8 is also 57-dimensional.
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 and nineteen. The same error was made by another famous mathematician, Hermann Weyl, in a published article.
References
References
- {{Cite OEIS. A001358. Semiprimes (or biprimes): products of two primes
- {{cite OEIS. A016105. Blum integers
- {{cite OEIS. A076980. Leyland numbers
- Vogan, David. (2007). "The character table for E8". Notices of the American Mathematical Society.
- Jackson, Allyn. (2004b). "Comme Appelé du Néant—As if Summoned from the Void: The Life of Alexandre Grothendieck". [[American Mathematical Society]].
- (1951). "A Half-Century of Mathematics". [[Mathematical Association of America]].
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