Английская Википедия:145 (number)

Материал из Онлайн справочника
Перейти к навигацииПерейти к поиску

Шаблон:Infobox number

145 (one hundred [and] forty-five) is the natural number following 144 and preceding 146.

In mathematics

  • Although composite, 145 is a Fermat pseudoprime to sixteen bases with b < 145. In four of those bases, it is a strong pseudoprime: 1, 12, 17, and 144.
  • Given 145, the Mertens function returns 0.[1]
  • 145 is a pentagonal number[2] and a centered square number.[3]
  • <math>145 = 12^2 + 1^2 = 8^2 + 9^2</math>. 145 is the fourth number that is the sum of two different pairs of squares. Also, 145 is the result of 34 + 43, making it a Leyland number.
  • <math>145 = 1! + 4! + 5!</math>, making it a factorion.[4] The only other numbers that have the property that they are the sum of the factorials of their digits are 1, 2 and 40585.[4]
  • <math>145=5^2+5!=11^2+4!=12^2+1!</math>, making 145 the smallest number that can be written as the sum of a perfect square and a factorial in exactly 3 distinct ways. The next number with this property is 46249.[5]

In the military

In sports

In transportation

In other fields

145 is also:

See also

References

Шаблон:Reflist

External links

Шаблон:Commons category

Шаблон:Integers