User:ColorfulGalaxy/Encyclopedia of numbers：修订间差异

2025年1月7日 (二) 22:06的版本

This article is inspired by this article, which was biased towards decimal properties and did not mention imaginary numbers. This article, instead, is biased towards septenary and tetradecimal properties, though the numbers are written in decimal. Shidinn-related entries are also welcome.

目录
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Top of page — Legend — See also — External links

Legend

Positive prime numbers

Number (excluding positive prime numbers) whose absolute value is an integer

Number whose absolute value is a rational number that is not integer

Number whose absolute value is an algebraic irrational number

Number whose absolute value is a transcendental real number

Unknown/approximation

Some terms can have subscripts. "Digit₁₄"^[1] is read as "tetradecimal digit".

Numbers

0

... is the smallest non-negative number.
... is the additive identity.

1

... is the smallest positive number.
... is the multiplicative identity.

2

... is the smallest positive prime number.
... is the only even positive prime number.

3

... is the smallest odd positive prime number.

4

... is the smallest positive composite number.

5

... is the smallest positive odd number that is not a repunit²^[2] number.
... is the number of Platonic solids.

6

... is the smallest positive composite number that is not a perfect power.
... is the largest digit₇^[1].

7

... is the third smallest repunit₂^[2] number.
... is the smallest positive two-digit₇^[1] number.
... is the smallest positive strobogrammatic_xdi8 number.
... is the number of classical elements in Shidinn culture. See Seven elements.

8

... is the smallest positive composite cube number.
... is the smallest positive composite Fibonacci number.
... is the largest cube in the Fibonacci sequence.
... is the second smallest repunit₇^[2] number.

9

... is the smallest positive odd composite number.
... is the second smallest Smarandache₇^[3] number.

10

... is the smallest positive even number n where n-1 is a Fermat pseudoprime_n.

11

... is the smallest positive odd prime number that is not palindromic₂^[4].

12

... is the smallest abundant number.

13

... is the number of Archimedean solids.
... is the largest digit₁₄^[1].
... is the third smallest repunit₃^[2] number.
... is the smallest positive odd Fibonacci number that is not palindromic₂^[4].

14

... is the smallest positive two-digit₁₄^[1] number.

15

... is the smallest positive odd composite number that is not a perfect power.
... is the second smallest repunit₁₄^[2] number.

16

... is the second smallest positive tesseractic number.
... is the smallest positive integer with five positive factors.
... is a repdigit₇^[5] number.
... is the second smallest Smarandache₁₄^[3] number.
... is the smallest positive composite number whose reversal₁₄^[6] is prime.

17

... is a Fermat prime.
... is the smallest prime number that is the concatenation₇^[7] of two prime numbers.

18

... is the smallest two-digit₁₄^[1] number in the Fibonacci-like sequence starting with 2 and 1.

19

... is the smallest positive odd prime number whose reversal₂^[6] is composite.

20

21

... is the third smallest repunit₄^[2] number.

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29

... is the smallest positive odd prime number whose reversal₁₄^[6] is composite.
... is the second smallest two-digit₁₄^[1] number in the Fibonacci-like sequence starting with 2 and 1.
... is a repfigit₁₄^[8] number.

30

... is a repdigit₁₄^[5] number.
... is a strobogrammatic_xdi8 number.

31

... is a Mersenne prime.
... is the smallest prime number that is the concatenation₁₄^[7] of two prime numbers.
... is the third smallest repunit₅^[2] number.

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Notes

References

↑ ^1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 Digit on Wolfram Mathworld
↑ ^2.0 ^2.1 ^2.2 ^2.3 ^2.4 ^2.5 ^2.6 Repunit on Wolfram Mathworld
↑ ^3.0 ^3.1 Smarandache number on Wolfram Mathworld
↑ ^4.0 ^4.1 Palindromic on Wolfram Mathworld
↑ ^5.0 ^5.1 Repdigit on Wolfram Mathworld
↑ ^6.0 ^6.1 ^6.2 Reversal on Wolfram Mathworld
↑ ^7.0 ^7.1 Concatenation on Wolfram Mathworld
↑ Repfigit on Wolfram Mathworld

External links

Numbers on Archimedes Lab

[digit-1] 1.0 ^1.1 ^1.2 ^1.3 ^1.4 ^1.5 ^1.6 Digit on Wolfram Mathworld

[repunit-2] 2.0 ^2.1 ^2.2 ^2.3 ^2.4 ^2.5 ^2.6 Repunit on Wolfram Mathworld

[smarandache-3] 3.0 ^3.1 Smarandache number on Wolfram Mathworld

[palindromic-4] 4.0 ^4.1 Palindromic on Wolfram Mathworld

[repdigit-5] 5.0 ^5.1 Repdigit on Wolfram Mathworld

[reversal-6] 6.0 ^6.1 ^6.2 Reversal on Wolfram Mathworld

[concatenation-7] 7.0 ^7.1 Concatenation on Wolfram Mathworld

[repfigit-8] Repfigit on Wolfram Mathworld

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