Английская Википедия:177 (number)

Содержание

Текст

Текст

Текст

Текст

Текст

Текст

Текст

Текст

Текст

Шаблон:For Шаблон:Infobox number 177 (one hundred [and] seventy-seven) is the natural number following 176 and preceding 178.

In mathematics

One hundred and seventy-seven is the ninth Leyland number, where

<math display="block">177 = 2^7 + 7^2.</math>

The fifty-seventh semiprime is 177 (after the square of 13), and it is the fifty-first semiprime with distinct prime factors.Шаблон:Efn

The magic constant <math>M</math> of the smallest full <math>3 \times 3</math> magic square consisting of distinct primes is 177:Шаблон:Efn

47	89	101
113	59	5
17	29	71

Where the central cell <math>\text { } 59 = \tfrac {177}{3}\text { }</math> represents the seventeenth prime number, and seventh super-prime; equal to the sum of all prime numbers up to 17, including one: <math>1 + 2 + 3 + 5 + 7 + 11 + 13 + 17 = 59.</math>

177 is also an arithmetic number, whose <math>\sigma_0</math> holds an integer arithmetic mean of <math>60</math> — it is the one hundred and nineteenth indexed member in this sequence, where <math>\text { }59 + 60 = 119.</math> The first non-trivial 60-gonal number is 177.Шаблон:Efn

177 is the tenth Leonardo number, part of a sequence of numbers closely related to the Fibonacci numbers.

In graph enumeration, there are

• 177 rooted trees with 10 nodes and height at most 3,
• 177 undirected graphs (not necessarily connected) that have 7 edges and no isolated vertices.

There are 177 ways of re-connecting the (labeled) vertices of a regular octagon into a star polygon that does not use any of the octagon edges.

In other fields

177 is the second highest score for a flight of three darts, below the highest score of 180.

See also

The year AD 177 or 177 BC