Английская Википедия:251 (number)

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Версия от 19:24, 25 декабря 2023; EducationBot (обсуждение | вклад) (Новая страница: «{{Английская Википедия/Панель перехода}} {{Infobox number | number = 251 | prime = 54th }} '''251''' ('''two hundred [and] fifty-one''') is the natural number between 250 and 252. It is also a prime number. ==In mathematics== '''251''' is: *a Sophie Germain prime.<ref>{{Cite OEIS|A005384|name=Sophie Germain primes p: 2p+1 is also prime}}</ref> *the sum of three consecutive primes (79...»)
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Шаблон:Infobox number 251 (two hundred [and] fifty-one) is the natural number between 250 and 252. It is also a prime number.

In mathematics

251 is:

  • a Sophie Germain prime.[1]
  • the sum of three consecutive primes (79 + 83 + 89) and seven consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47).
  • a Chen prime.
  • an Eisenstein prime with no imaginary part.
  • a de Polignac number, meaning that it is odd and cannot be formed by adding a power of two to a prime number.[2][3]
  • the smallest number that can be formed in more than one way by summing three positive cubes:[4][5]<math>251 = 2^3 + 3^3 + 6^3 = 1^3 + 5^3 + 5^3.</math>

Every 5 × 5 matrix has exactly 251 square submatrices.[6]

References

Шаблон:Reflist

Шаблон:Integers