Английская Википедия:215 (number)

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Шаблон:Refimprove Шаблон:Infobox number 215 (two hundred [and] fifteen) is the natural number following 214 and preceding 216.

In mathematics

  • 215 is a composite number and a semiprime (<math>=5\times43</math>).
  • <math>215 = (3!)^3 - 1</math>
  • 215 is the second smallest integer (after 5) such that <math>n^2-17</math> is twice a square: <math>215^2-17 = 2 \times 152^2</math>.[1]
  • 215 is a vertically symmetric number on a calculator display Шаблон:OEIS.
  • There are 215 sequences of four integers, counting re-arrangements as distinct, such that the sum of their reciprocals is 1.[2] These are
    • 24 arrangements of (2,3,7,42), (2,3,8,24), (2,3,9,18), (2,3,10,15), (2,4,5,20) and (2,4,6,12).
    • 12 arrangements of (3,3,4,12), (3,4,4,6), (2,3,12,12), (2,4,8,8) and (2,5,5,10).
    • 6 arrangements of (3,3,6,6).
    • 4 arrangements of (2,6,6,6).
    • 1 arrangement of (4,4,4,4).

In other fields

215 is also:

References

Шаблон:Reflist

Шаблон:Integers Шаблон:Num-stub

ca:Nombre 210#Nombres del 211 al 219