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

此后如竟没有炬火,我便是唯一的光。
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* ... is the smallest positive odd prime number that is not a twin prime.
* ... is the smallest positive odd prime number that is not a twin prime.
* ... is the smaller prime factor of 2047, the smallest Mersenne composite number.
* ... is the smaller prime factor of 2047, the smallest Mersenne composite number.
* ... is the smallest prime number that is not a "deletable prime"<sub>14</sub><ref name="deletable"/>.
* ... is the smallest two-digit<sub>14</sub><ref name="digit"/> prime number ''n'' such that 210-''n'' is composite.
* ... is the smallest two-digit<sub>14</sub><ref name="digit"/> prime number ''n'' such that 210-''n'' is composite.
* ... is the smallest positive integer ''n'' such that 2<sup>''n''</sup> starts in two identical digits<sub>14</sub><ref name="digit"/>.
* ... is the smallest positive integer ''n'' such that 2<sup>''n''</sup> starts in two identical digits<sub>14</sub><ref name="digit"/>.
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<ref name="narcissistic">[http://mathworld.wolfram.com/NarcissisticNumber.html Narcissistic number] on Wolfram Mathworld<br>&#8226;[http://oeis.org/A023052 k-Narcissistic number] on OEIS<br>&#8226;[http://www.numbersaplenty.com/set/narcissistic_number/ Narcissistic number] on NUMBERSAPLENTY</ref>
<ref name="narcissistic">[http://mathworld.wolfram.com/NarcissisticNumber.html Narcissistic number] on Wolfram Mathworld<br>&#8226;[http://oeis.org/A023052 k-Narcissistic number] on OEIS<br>&#8226;[http://www.numbersaplenty.com/set/narcissistic_number/ Narcissistic number] on NUMBERSAPLENTY</ref>
<ref name="disarium">[http://oeis.org/A032799 Disarium number] on OEIS</ref>
<ref name="disarium">[http://oeis.org/A032799 Disarium number] on OEIS</ref>
<ref name="emirp">[http://oeis.org/a6567 emirP] on OEIS<br>&#8226;[http://www.numbersaplenty.com/set/emirp/ emirP] on NUMBERSAPLENTY</ref>
<ref name="emirp">[http://oeis.org/a6567 emirP] on OEIS<br>&#8226;[http://www.numbersaplenty.com/set/emirp/ "emirP"] on NUMBERSAPLENTY</ref>
<ref name="deletable">[http://t5k.org/glossary/page.php?sort=DeletablePrime "Deletable prime"] on t5k</ref>
<ref name="honaker">[http://www.numbersaplenty.com/set/Honaker_prime/ Honaker prime] on NUMBERSAPLENTY<!--Digit sum of n = digit sum of pi(n)--></ref>
<ref name="honaker">[http://www.numbersaplenty.com/set/Honaker_prime/ Honaker prime] on NUMBERSAPLENTY<!--Digit sum of n = digit sum of pi(n)--></ref>
<ref name="psp">[http://mathworld.wolfram.com/FermatPseudoprime.html Fermat pseudoprime] on Wolfram Mathworld. Note: Numbers that share a prime factor with the base is usually not taken into consideration unless otherwise noted.</ref>
<ref name="psp">[http://mathworld.wolfram.com/FermatPseudoprime.html Fermat pseudoprime] on Wolfram Mathworld. Note: Numbers that share a prime factor with the base is usually not taken into consideration unless otherwise noted.</ref>

2026年4月1日 (三) 08:33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, including those notable noticed by other Shidinn enthusiasts, are also welcome.

Readers may try to verify these as an exercise. If there is something wrong, please contact the author.

目录
0 1 2 7 14 49 196 343 2401 2744
Top of pageLegendSee alsoExternal 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. They indicate which base[1] the property applies in. For example, "digit14"[2] is read as "tetradecimal digit".

Numbers

0

  • ... is the smallest non-negative number.
  • ... is the additive identity.
  • ... is the number of "a-pointer prime"7[3] numbers.
  • ... is the number of two-digit7[2] prime numbers that are both "emirp7"[4] and Mersenne.
  • ... is the number of two-digit7[2] prime numbers that are neither "emirp7"[4] nor Mersenne.

1

  • ... is the smallest positive number.
  • ... is the multiplicative identity.
  • ... has a Shidinn letter shaped like it: Shidinn letter 1
  • ... percent is approximately the relative frequency of three-letter palindromic Shidinn words among all Shidinn words (not counting legacy spelling).
  • ... is the only digit14(za)[2][note 1] with an ascender pointing at the top left corner. (citation needed)

2

  • ... is the smallest positive prime number.
  • ... is the only even positive prime number.
  • ... is an RDI7[5] of order 2.
  • ... is an RDI7[5] of order 3.
  • ... is the last distinct digit7[2] to encounter when the digits7 of π are scanned[6].
  • ... is an honest number[7] in Shidinn.

3

  • ... is the smallest odd positive prime number.
  • ... is a Kaprekar7[8] number.
  • ... is the smallest Full Reptend Prime14[9].
  • ... percent is approximately the relative frequency of five-letter Shidinn words among all Shidinn words (not counting legacy spelling).

π

  • ... contains almost everyone's birthday in 6-digit or 8-digit form.
  • ... is the irrational number that we most known.
  • ... is shaped like the middle case form of the Shidinn letter N.

4

  • ... is the smallest positive composite number.
  • ... is the 2nd smallest positive square number.
  • ... is a Kaprekar7[8] number.
  • ... is the number of two-digit14[2] repdigit14[10] triangular numbers.
  • ... is the largest known positive integer n such that there exists an arithmetic progression with n terms (all positive, indexed 1 through n) satisfying the fact that the number of positive factors each term has is exactly equal to the term's index.
  • ... has a Shidinn letter shaped like it: Shidinn letter 4
  • ... percent is approximately the relative frequency of two-letter Shidinn words among all Shidinn words (not counting legacy spelling).

5

  • ... is the smallest positive odd number that is not a repunit2[11] number.
  • ... is the number of Platonic solids.
  • ... is the number of letters in the longest word in Shidinn. There are 278 known five-letter words.
  • ... was the number of members in the Shidinn community administration committee when it started.
  • ... consecutive digits7[2] immediately after the point in π are multiples of 3.

6

  • ... is the smallest positive composite number that is not a perfect power.
  • ... is the largest digit7[2].
  • ... is the smallest perfect number.
  • ... is a Kaprekar7[8] number.
  • ... is the smallest positive integer value of n such that the digits7[2] of n are all even, while the digits7 of n2 are all odd.
  • ... is the smallest strobogrammatic14(za)[note 1] non-negative integer. Note that 0 is not strobogrammatic in this writing system.
  • ... has a Shidinn letter shaped like it: Shidinn letter 6
  • ... , as 3 plus 3, is an honest number[7] in Shidinn.
  • ... is the smallest positive integer that is not a self-ranked10[12] number in Shidinn, although it used to be a self-ranked10 number in Shidinn.
  • ... is the number of known Shidinn characters with gematria value of exactly 100000.

7

  • ... is the third smallest repunit2[11] number.
  • ... is the smallest positive two-digit7[2] number.
  • ... is the second smallest positive 1-automorphic14[13] number.
  • ... is the numerator of a fractional Friedman14[14] number: 7/5 = (8-1)/5 ≈ 1 + 5×14-1 + 8×14-2
  • ... is the smallest positive strobogrammaticxdi8 number.
  • ... is the number of classical elements in Shidinn culture. See Seven elements.
  • ... is the unique positive integer n such that "the smallest integer m such that em exceeds nn is exactly equal to 2n".
  • ... is the smallest positive non-unity integer n such that there exists a two-digitn[2] narcissisticn[15] square number.
  • ... is the smallest positive non-unity integer n such that there exists a four-digitn[2] repdigitn[10] square number.
  • ... is the smallest known positive non-unity integer n such that there exists a three-digitn[2] number k=a×n2+b×n+c satisfying that k-1, k and k+1 have a, b and c (i. e. its digits) positive factors respectively.
  • ... , as 5 plus 2, is an honest number[7] in Shidinn.
  • ... is the number that represents God in western culture.

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[11] number.
  • ... is the smallest known repfigit7[16] number.
  • ... is a hoax7[17] number.
  • ... is the third smallest positive 1-automorphic14[13] number.
  • ... is the numerator of a "nice" fractional Friedman14[14] number: 8/5 = 1×8/5 ≈ 1 + 8×14-1 + 5×14-2
  • ... is the second positive cubic number.

9

  • ... is the smallest positive odd composite number.
  • ... is the second smallest Smarandache7[18] number.
  • ... is the smallest Early Bird7[19] number.
  • ... is the smallest positive integer n such that 3n starts with three identical digits7[2].
  • ... is the smallest positive integer n such that nn is pandigital7[20].
  • ... is a value for n such that 1/n is a "nice" fractional Friedman14[14] number: 1/9 = 17+10+12/(6+3)
  • ... is a (1)-shifted Friedman7[21] number: 9 = 32
  • ..., as 11+23, is a handsome7[22] number.
  • ... is the largest digit in base[1] 10.
  • ... is shaped like the Extended Shidinn letter pronounced like "thw" as in "thwarted".

10

  • ... is the smallest positive even number n where n-1 is a Fermat pseudoprimen[23].
  • ... is the smallest positive integer that is not a Harshad7[24] number.
  • ..., as 11+32, is a handsome7[22] number.
  • ... is a Narcissistic7[15] number.
  • ... is a disarium7[25] number.
  • ... is an RDI7[5] of order 3.
  • ... is the smallest positive integer value of n such that the digits7[2] of n are all odd, while the digits7 of n2 are all even.
  • ... is the smallest positive non-palindromic7[26] integer whose square is palindromic7.
  • ... is the number of digits7[2] after the point to be scanned[6] in order to get all seven digits7 from π.
  • ... is the unique positive integer that comes between and .
  • ... is a strobogrammaticxdi8 number.
  • ... is the number of current members in the Shidinn community administration committee.

11

  • ... is the smallest positive odd prime number that is not palindromic2[26].
  • ... is the smallest Honaker7[27] prime.
  • ... is a prime factor of the tenth smallest repunit7[11] number.
  • ... is the smaller prime factor of the fifth smallest repunit14[11] number.
  • ... is a value for n such that 1/n is a "nice" fractional Friedman14[14] number: 1/11 = 13+11/(6+5)

12

  • ... is the smallest abundant number.
  • ... is the number of two-digit7[2] prime numbers.
  • ... is the only non-palindromic7[26] two-digit7[2] number that divides its reversal7[28].
  • ... is the only two-digit7 composite number that has a smaller multiset of prime factors than its reversal7 does. (citation needed)
  • ... is a "nice" (1)-shifted Friedman7[21] number: 12 = 2×6
  • ... is the smallest known positive non-unity integer n such that there exists a five-digitn[2] number k=a×n4+b×n3+c×n2+d×n+f satisfying that k-2, k-1, k, k+1 and k+2 have a, b, c, d and f (i. e. its digits) positive factors respectively. More surprisingly, that number is a repdigit12[10] number.
  • ... is the smallest true composite number.

13

  • ... is the number of Archimedean solids.
  • ... is the largest digit14[2].
  • ... is the third smallest repunit3[11] number.
  • ... is the largest known RDI7[5] of order 2.
  • ... is the smallest positive odd Fibonacci number that is not palindromic2[26].
  • ... is a repfigit7[16] number.
  • ... is a prime factor of the 12th smallest repunit7[11] number.
  • ... is a prime factor of the 13th smallest repunit14[11] number.
  • ... is the number that represents Devil in western culture.

14

  • ... is the smallest positive two-digit14[2] number.
  • ... is the smallest positive semiprime that is not a brilliant7[29] number.
  • ... is the smallest two-digit7[2] "kind7"[30] number.
  • ... is the smallest integer n such that en exceeds 77.
  • ... is the largest known positive non-unity integer n such that an n-digitn[2] pandigitaln[20] "magic"n[31] number exists.
  • ... is the index of the nasal sibilant in the Shidinn alphabet.

15

  • ... is the smallest positive odd composite number that is not a perfect power.
  • ... is the second smallest repunit14[11] number.
  • ... is the number of two-digit14[2] triangular numbers.
  • ... is the smallest Fermat pseudoprime14[23].

16

  • ... is the second smallest positive tesseractic number.
  • ... is the smallest positive integer with five positive factors.
  • ... is a repdigit7[10] number.
  • ... is an enlightened7[32] number.
  • ... is an RDI7[5] of order 4.
  • ... is a "nice" (2)-shifted Friedman7[21] number: 16 = 4×4
  • ... is the second smallest Smarandache14[18] number.
  • ... is the smallest positive composite number whose reversal14[28] is prime.

17

  • ... is a Fermat prime.
  • ... is the smallest prime number that is the concatenation7[33] of two prime numbers.
  • ... is an RDI7[5] of order 3.
  • ... is a Gilda7[34] number.

18

  • ... is the only known Canada7[35] number.
  • ... is the smallest two-digit14[2] number in the Fibonacci-like sequence starting with 2 and 1.

19

  • ... is the smallest positive odd prime number whose reversal2[28] is composite.
  • ... is a repfigit7[16] number.
  • ... is the smallest positive integer n such that the set {m∈N|π(m)=n} is pandigital7[20].

20

  • ... is the smallest positive integer n such that 2n is pandigital7[20].
  • ... is the smallest positive non-repdigit7 integer whose square is repdigit7[10].
  • ... is the smallest positive non-palindromic7[26] integer whose tesseractic is palindromic7.
  • ... is a repfigit14[16] number.
  • ... is the integer that caused an "e-mail war" between Shidinn enthusiasts on February 24, 2025.

21

  • ... is the sum of all the one-digit7[2] numbers. It is also the numbers of dots on the dice used in most of the board games.
  • ... is the third smallest repunit4[11] number.
  • ... is the smallest positive odd semiprime that is not a brilliant7[29] number.
  • ... is the third smallest known positive integer whose tesseractic is a happy14[36] number.

22

  • ... is the smallest positive integer n whose square "ends with the digit7[2] it starts with, but is not palindromic7[26]".
  • ... has a square root with a seven-digit7[2] string of copies of "4" and "5" immediately after the point.

23

  • ... is the smallest positive odd prime number that is not a twin prime.
  • ... is the smaller prime factor of 2047, the smallest Mersenne composite number.
  • ... is the smallest prime number that is not a "deletable prime"14[37].
  • ... is the smallest two-digit14[2] prime number n such that 210-n is composite.
  • ... is the smallest positive integer n such that 2n starts in two identical digits14[2].
  • ... is a prime factor of the seventh smallest Smarandache14[18] number.

24

  • ... is the smallest positive integer n such that 2n ends in three identical digits7[2].
  • ... is the minimum difference between two distinct positive prime numbers that can be expressed as 8 times a square number plus 27 times a square number. This property of prime numbers was mentioned by a Shidinn enthusiast as an "unfortunate" property.

25

  • ... is a narcissistic7[15] number.
  • ... is an RDI14[5] of order 2.
  • ... is the smallest Fermat pseudoprime7[23].
  • ... is the smallest positive integer n such that 2n starts in three identical digits7[2] and ends in three identical digits7.

26

  • ... is the median of all two-digit7[2] prime numbers.
  • ... is the smallest positive integer n whose digit7[2] median is an integer that doesn't divide n.

27

  • ... is the second smallest composite Smith7[38] number.
  • ... is the only known two-digit7 composite Smith7[38] number.
  • ... is the smallest positive multiple of 9 with digit7 sum[39] 9.
  • ... appears in an example of Anomalous Cancellation[40] of digits14: 27/189=1/7
  • ... is the smallest non-unity positive integer n whose set of prime divisors is a proper subset of its set of digits7[2].

28

  • ... is the smallest positive triangular number whose first digit14[2] is larger than its last digit14.
  • ... has the property that if each digit7[2] is replaced by its factorial, the resulting number is square.

29

  • ... is the smallest positive odd prime number whose reversal14[28] is composite.
  • ... is the number of distinct 3D pentominoes, if mirror reflections are considered different. Note that xp0_1$71 is symmetric.
  • ... is the smaller prime factor of the seventh smallest repunit7[11] number. The unicode character whose ID is the seventh smallest repunit7 number can be written in Shidinn as Ɐko.
  • ... has the property that if each digit7[2] is replaced by its factorial, the resulting number is square.
  • ... is the second smallest two-digit14[2] number in the Fibonacci-like sequence starting with 2 and 1.
  • ... is a repfigit14[16] number.

30

  • ... is a repdigit14[10] number.
  • ... is the number of two-digit7[2] composite numbers.
  • ... is a strobogrammaticxdi8 number.

31

  • ... is a Mersenne prime.
  • ... is the smallest positive odd prime number whose reversal7[28] is composite.
  • ... is the unique two-digit7[2] prime number whose reversal7[28] is composite.
  • ... is the smallest prime number that is the concatenation14[33] of two prime numbers.
  • ..., as 22+33, is a handsome14[22] number.
  • ... is the "home prime"14[41] reached from 6.
  • ... is the smallest positive integer whose tesseractic has 8 digits7[2].
  • ... is the smallest positive integer whose tesseractic is pandigital7[20].
  • ... is the third smallest repunit5[11] number.

32

  • ... is a repdigit7[10] number.
  • ... is a narcissistic7[15] number.
  • ... is the smallest positive multiple of 8 with digit7 sum[39] 8.
  • ... is the second smallest positive hyperhypercube number.

33

  • ... is the largest positive integer that can not be written as the sum of distinct positive triangular numbers.
  • ..., as 23+52, is a handsome14[22] number.

34

  • ... is the smallest positive semiprime that is not a brilliant14[29] number.
  • ... has the property that if each digit7[2] is replaced by its square, the resulting number is a triangular number.
  • ... has the property that if each digit14[2] is replaced by its square, the resulting number is a triangular number.
  • ... is the smallest known number in a Friedman14 loop[21]:
26=64
84=4096
6×(12×8-1)=570
2×12+10=34

35

  • ... is the number of known three-digit7 gapful7[42] numbers.
  • ... has the property that if each digit7[2] is replaced by its factorial, the resulting number is square.
  • ... is in a Friedman14 loop[21]:
73=343
(1+10)×7=77
5×7=35
72=49

36

  • ... has the property that if each digit7[2] is replaced by its factorial, the resulting number is square.
  • ... is an RDI7[5] of order 3.
  • ... is a "nice" (1)-shifted Friedman7[21] number: 36 = 62

37

  • ... is the largest known RDI14[5] of order 2.
  • ... is a prime factor of the ninth smallest repunit7[11] number.
  • ... is a prime factor of the twelfth smallest repunit14[11] number.

38

  • ... is the number of two-digit14[2] prime numbers.

39

  • ... is the smallest non-palindromic14[26] two-digit14[2] number that divides its reversal14[28].

40

  • ... is the smallest positive multiple of 10 with digit7 sum[39] 10.
  • ... is the smallest positive integer n such that the set {15k|k∈N} has no n-digit14[2] member.
  • ... is in a Friedman14 pair[21]:
122=144
4×10=40

41

  • ... is the sum of all the one-digit14[2] prime numbers.
  • ... is one of four possible values of a two-digit14[2] prime number n such that 210-n is composite.
  • ... is a prime factor of the eighth smallest repunit14[11] number.
  • ... is a value for n such that 1/n is a "nice" fractional Friedman14[14] number: 1/41 = 0 + 4/(10 + 181 - 9×3×1)
  • ... is the vertical stroke in Shidinn chat alphabet.

42

  • ... has the property that if each digit7[2] is replaced by its factorial, the resulting number is square.
  • ... is the smallest sphenic number that is not palindromic14[26].
  • ... is the number of U. S. states in the fictional Shidinn timeline.
  • ... is the number that was been thought as the truth of the universe.
  • ... is the number of years between Jay Chou's date of birth and the creation of this wiki. Jay Chou and Shidinn Wiki have the same birthday. (This entry was added by Translated ORK, making it questionable.)
  • ... is the word for "two" (Unicode decimal 20108) in Shidinn chat alphabet.

43

  • ... is the third smallest repunit6[11] number.
  • ... is the first two digits14[2] of pi, i. e. floor(14×π).
  • ... is the largest prime factor of the sixth smallest repunit7[11] number.
  • ... has the property that if each digit7[2] is replaced by its square, the resulting number is a triangular number.
  • ... has the property that if each digit7[2] is replaced by its factorial, the resulting number is square.

44

  • ..., as 62+23, is a handsome7[22] number.

45

  • ... is the number of letters in the Shidinn alphabet.
  • ... is a narcissistic7[15] number, and is also the largest known 2-narcissistic7 number.
  • ... is the third smallest known positive integer whose tesseractic is a happy7[36] number.

46

  • ... is the smallest Canada14[35] number.
  • ... is equal to the rebasing7→10[43] of its own reversal7[28]. It is also the arithmetic square root of another integer with the same property.
  • ... is the word for "prostrate" (Unicode decimal 20239) in Shidinn chat alphabet.

47

  • ... is the largest two-digit7[2] prime number.
  • ... is the largest positive integer such that every number resulting from removing some (or none) of its trailing digits2 is either 0, 1, or a prime number. (OEIS A165802) This fact is mentioned on the website given below.
  • ... is the representative prime number of User:Rachel1211.
  • ... is the smallest positive prime number with digit14[2] median 4.
  • ... is the smallest positive integer whose tesseractic has the last 3 digits7[2] the same as the three digits7 before that.
  • ... is a value for n such that the tesseractic of n can be written as the reversal7[28] of n concatenated7[33] with two identical three-digit7 strings.
  • ... is featured on this website. You can submit entries there.

48

  • ... is the largest two-digit7[2] number.
  • ... is the smallest positive multiple of 12 with digit7 sum[39] 12.
  • ... is the word for "kindness" (Unicode decimal 24681) in Shidinn chat alphabet.

49

  • ... is the smallest three-digit7[2] number.
  • ... is the sum of all the one-digit14[2] composite numbers.
  • ... is the smallest positive composite number whose prime indices are all composite.

50

  • ... is the smallest positive palindromic7[26] number that is not repdigit7[10].
  • ... is the smallest Cyclops7[44] number.

51

  • ... is the smallest Cyclops7[44] number that is not palindromic7[26].
  • ... is the smallest positive odd semiprime that is not a brilliant14[29] number.

52

53

  • ... is the smallest three-digit7[2] prime number.
  • ... is the number of three-digit7[2] prime numbers.
  • ... is the smallest positive prime number that is not alternating7[45].
  • ... is the smallest positive prime number with digit7 median 1.
  • ... is the smallest Cyclops7[44] prime number.
  • ... is the word for "heart" (Unicode decimal 24515) in Shidinn chat alphabet.

54

  • ... is the smallest three-digit7[2] abundant number.
  • ... is the smallest Cyclops7[44] number n such that the nth prime number is also a Cyclops7 number.

55

  • ... is the second smallest positive integer that is both square pyramidal and triangular, as mentioned by a Shidinn enthusiast.

56

  • ... is the largest two-digit7ans[46] number.
  • ... is the number of Hanzi characters in the Firefly poem.

57

  • ... is the third smallest repunit7[11] number.
  • ... is the smallest three-digit7ans[46] number.
  • ... is the smallest positive odd composite number whose digits7[2] are all odd.
  • ... has the property that if each digit14[2] is replaced by its square, the resulting number is square.
  • ... is the number of distinct symbols in the standard "Spot it" pack, with 8 symbols on each card. (See 73)

58

59

  • ... is the smallest three-digit7[2] twin prime.
  • ... is the smallest positive prime number with digit7 mode 1.
  • ... is a prime factor of the sixth smallest Smarandache14[18] number.
  • ... is the smallest prime number that can be expressed as 8 times a square number plus 27 times a square number. This property of prime numbers was mentioned by a Shidinn enthusiast as an "unfortunate" property.

60

61

  • ... is a prime factor of the sixth smallest repunit14[11] number.

62

63

64

65

  • ..., as 4×14+9,[47] is a Cyclic14 number[9], according to Wolfram Mathworld.

66

  • ... is the third smallest Smarandache7[18] number.
  • ... is the third smallest positive triangular number whose digits14[2] are all semiprime.

67

  • ... is the smallest positive integer n such that 2n is the concatenation14[33] of n and another integer.
  • ... is the second smallest positive integer whose square is a Cyclops7[44] number.
  • ... is one of four possible values of a two-digit14[2] prime number n such that 210-n is composite.
  • ... is a prime factor of the eleventh smallest repunit14[11] number.

68

69

70

  • ... has the property that if each digit7[2] is replaced by its square, the resulting number is a triangular number.

71

  • ... is the largest known positive integer whose square can be written as one plus the factorial of another positive integer.
  • ... is the smallest positive palindromic7[26] prime number that is not repdigit7[10].
  • ... has the property that if each digit14[2] is replaced by its square, the resulting number is a triangular number.
  • ... is a prime factor of the tenth smallest repunit14[11] number.
  • ... is featured on this website. You can submit entries there.

72

  • ... is the smallest positive integer that is not a perfect power but can be written as the product of perfect powers.
  • ... is the third smallest positive integer whose square is a Cyclops7[44] number.

73

  • ... is the third smallest repunit8[11] number.
  • ... is the smallest positive twin prime number such that none of the next three prime numbers is twin prime.
  • ... is the third smallest positive integer that is both palindromic2[26] and palindromicb3[48].
  • ... is the second smallest positive integer that is the sum of three different positive cubic numbers.
  • ... is the sum of the cubes of the three smallest positive palindromic3[26] numbers.
  • ... is the sum of the aliquot parts of the smallest three-digit7[2] number not containing a digit7 "1".
  • ... is the smallest positive prime number with digit7 mode 3.
  • ... is the smallest non-palindromic7[26] positive prime number that ends with two identical digits7[2].
  • ... is the smallest positive integer n that is equal to the result of removing the digit7 "0" from the nth positive prime number.
  • ... is a prime factor of the seventh smallest Smarandache14[18] number.
  • ... is the number of cards in the Seven elements poker game. The pack has 7 suits of 10 cards each, along with three extra cards (INF, 7UT and blank).
  • ... is the theoretical number of distinct symbols in "Spot it" variant, with 9 symbols (instead of 8) on each card.
  • ... is a number worshipped in Shidinn culture.
  • ... is featured on this website. You can submit entries there.

74

75

  • ... is the number of known Lynch-Bell7[49] numbers.

76

  • ... is the sum of the first three Smarandache7[18] numbers.

77

  • ... is the smallest positive integer n such that 15n has (n+3) digits14[2].

78

  • ... is the smallest palindromic7[26] sphenic number.
  • ... is the second smallest Canada14[35] number.

79

80

  • ... , as 34-1, is a Friedman7[50] number.

81

  • ... is the third smallest positive tesseractic number.
  • ... is in the username of User:DGCK81LNN.

82

  • ... has a square root with a string of eleven even digits7[2]immediately after the point.
  • ... is a strobogrammaticxdi8 number.

83

  • ... is the smallest positive prime number with digit7 median 4.
  • ... is the smallest known positive prime number such that a majority of its digits7 are composite.
  • ... is the smallest positive prime number with digit14[2] median 9.

84

85

  • ... is the largest known index of a square pyramidal number that is also triangular. Its index in the triangular sequence is 645.
  • ... is the smallest positive palindromic7[26] semiprime that is not repdigit7[10].
  • ... is the prime index of the "home prime"14[41] reached from 4.
  • ... has the property that if each digit14[2] is replaced by its cube, the resulting number is square.

86

87

88

89

  • ... is the smallest positive prime number with digit7 mode 5.
  • ... is one of four possible values of a two-digit14[2] prime number n such that 210-n is composite.
  • ... is the total number of letters in the Shidinn alphabet and the Extended Shidinn alphabet, including the "number zero" letter.

90

91

  • ... is the smallest positive multiple of 7 with digit7 sum[39] 7.
  • ... is the sum of all the one-digit14[2] numbers.
  • ... is the third smallest repunit9[11] number.
  • ... has the property that if each digit7[2] is replaced by its square, the resulting number is a triangular number.
  • ... is an RDI7[5] of order 3.
  • ... is the third smallest positive integer that is both square pyramidal and triangular, as mentioned by a Shidinn enthusiast.

92

  • ... is an RDI7[5] of order 3.

93

94

95

96

97

  • ... is the smallest positive prime number with digit7 median 6.
  • ... is the smallest positive prime number with digit7 mode 6.
  • ... has the property that if each digit14[2] is replaced by its square, the resulting number is square.
  • ... is the last prime number that 10 ≤ x ≤ 99.

98

99

  • ... is the median of all two-digit14[2] prime numbers.

100

  • ... is the smallest positive Cyclops7[44] square number.
  • ... is the smallest 2-digit100 number.
  • ... is the smallest positive even composite number with no nasal sibilant in its Shidinn name.

101

  • ... is the second smallest Cyclops7[44] prime number.
  • ... is a prime factor of the tenth smallest repunit14[11] number.

102

103

  • ... is the third smallest Cyclops7[44] prime number.
  • ... is the smallest positive prime number with digit14[2] median 6.

104

105

106

107

  • ... is the smallest positive prime number with digit7 mode 2.
  • ... is the smallest three-digit7 esthetic7[51] prime number.
  • ... is the sum of all the two-digit7 "non-twin" prime numbers.
  • ... is the smallest positive prime number with digit14[2] median 8.

108

109

  • ... is a prime factor of the 13th smallest Smarandache14[18] number.

110

  • ... is the smallest positive integer n such that 2n is pandigital14[20].

111

112

113

  • ... is a prime factor of the 14th smallest repunit7[11] number.

114

  • ... is the number that is CURRENTLY thought as the truth of the universe.

115

116

117

118

119

  • ... is the smallest known brilliant7[29] number with four distinct digits7 in its set of prime factors.

120

121

  • ... is a fibodiv7[52] number: 2, 23, 25, 48, 73, 121

122

  • ... is the smallest positive integer n such that 2n starts with two identical digits14[2] followed immediately by two identical digits14.

123

124

125

  • ... is the fourth smallest happy7[36] number.

126

127

  • ... is a Mersenne prime.
  • ... is the smallest Mersenne prime that is "emirp7"[4].
  • ... has the property that if each digit7[2] is replaced by its square, the resulting number is a triangular number.
  • ... is a number worshipped in Shidinn culture.[lɤ ɛyuə iq8 q6]

128

  • ... is a handsome7[22] number. So are the eleven following integers.

129

130

131

132

  • ... is the smallest known positive integer n such that the nth Fibonacci number is pandigital14[20].

133

  • ... is the smallest three-digit7[2] narcissistic7[15] number.

134

135

136

  • ... is the second smallest triangular number whose digits7[2] are all prime. The smallest is 3.
  • ... is the smallest positive triangular number containing an odd semiprime digit14 and an even semiprime digit14.
  • ... is the smallest three-digit10 triangular number such that every number resulting from removing some (or none) of its leading digits10 is either 0 or a triangular number. (observed by User:List of deleted users)
    This property is preserved in tetradecimal as well, except that it is now a two-digit14 number.
  • ... is the rebasing10→19[43] of 73. Coincidentally, the expanded19 notation[47] of 73 (not counting the base and the exponent) uses the same digits10 as "136". This property was observed by a Shidinn enthusiast.
  • ... is the index (in Infinite Song List) of the song whose original title is a result from spelling the word for "relics" backwards in the Japanese syllabary.
  • ... is the number of standard "Mahjong" tiles, excluding the seasons and plants.

137

  • ... is the smallest positive prime number with digit14[2] median 10.

138

139

140

141

142

143

  • ... is the smallest positive multiple of 11 with digit7 sum[39] 11.

144

  • ... is the smallest xenodromic7[53] three-digit7 square number.
  • ... is a square number such that moving the first digit7 to the last gives a larger square number.

145

146

147

148

149

  • ... is the fourth smallest Cyclops7[44] prime number.
  • ... is the smallest prime number whose digits14[2] are all composite.

150

151

152

153

154

  • ... is the smallest sphenic number whose prime factors all end in an even digit7.

155

156

157

  • ... is a prime factor of the 13th smallest repunit14[11] number.

158

159

160

161

162

163

164

165

166

167

  • ... is the smallest positive prime number with digit14[2] median 12.

168

  • ... has the property that if each digit14[2] is replaced by its square, the resulting number is a triangular number.

169

170

171

  • ... is the third smallest triangular number whose digits7[2] are all prime.
  • ... is the fourth smallest positive repdigit7[10] triangular number.
  • ... is the smallest positive triangular number whose first digit14[2] is larger than its last non-zero digit14.
  • ... is the sum of all positive factors of the smallest three-digit7[2] number not containing a digit7 "1".

172

173

174

175

176

177

178

179

  • ... is the smallest positive prime number with digit7[2] mode 4.

180

  • ... is the smallest positive integer n such that n2 starts in two identical digits14[2] and ends in two identical digits14.

181

  • ... is a prime factor of the 12th smallest repunit7[11] number.

182

  • ... is the number of Shidinn letters in the Firefly poem.

183

184

185

186

187

188

189

190

191

  • ... is a prime factor of the tenth smallest repunit7[11] number.

192

193

  • ... is the largest two-digit14[2] prime number.
  • ... is a prime factor of the twelfth smallest Smarandache14[18] number.

194

195

  • ... is the largest two-digit14[2] number.

196

  • ... is the smallest three-digit14[2] number.

197

  • ... is the smallest three-digit14[2] prime number.
  • ... is the smallest positive palindromic14[26] number that is not repdigit14[10].
  • ... is the smallest positive palindromic14[26] prime number that is not repdigit14[10].
  • ... is the smallest Cyclops14[44] number.
  • ... is the smallest Cyclops14[44] prime number.
  • ... is the smallest positive prime number with digit14[2] median 1.
  • ... is the smallest positive prime number with digit14[2] mode 1.

198

  • ... is the smallest Cyclops14[44] number that is not palindromic14[26].
  • ... is the smallest composite Cyclops14[44] number.

199

200

201

  • ... is the smallest three-digit14[2] squarefree composite number.

202

203

204

205

206

207

208

209

210

211

  • ... is the third smallest repunit14[11] number.
  • ... is the smallest repunit14[11] prime number.

212

213

214

215

216

217

218

219

220

221

222

223

224

225

  • ... is the second smallest three-digit14[2] square number.

226

227

  • ... is the third smallest Smarandache14[18] number, as well as the smallest Smarandache14 prime number.
  • ... is the fourth smallest happy14[36] number.
  • ... is the second smallest prime number that can be expressed as 8 times a square number plus 27 times a square number. This property of prime numbers was mentioned by a Shidinn enthusiast as an "unfortunate" property.

228

229

230

231

232

233

234

235

236

237

238

239

240

  • ... is the smallest positive integer n such that 2n starts in two identical digits14[2] and ends in two identical digits14.

241

242

243

244

  • ... is the second largest known RDI7[5] of order 3.

245

246

247

248

249

250

251

252

253

  • ... is the smallest positive palindromic14[26] triangular number that is not repdigit14[10].

254

255

  • ... is the smallest sphenic number whose prime factors all end in an odd digit7.

256

257

  • ... has the property that if each digit7[2] is replaced by its square, the resulting number is square.

258

  • ... is the largest known RDI7[5] of order 3.

259

260

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

295

296

297

298

299

300


See also

Notes

  1. 1.0 1.1 In Zbalermorna Abjad numerical system, ignoring the "li" and the "ju'u pavo lo'o".

References

  1. 1.0 1.1 Base on Wolfram Mathworld
  2. 2.000 2.001 2.002 2.003 2.004 2.005 2.006 2.007 2.008 2.009 2.010 2.011 2.012 2.013 2.014 2.015 2.016 2.017 2.018 2.019 2.020 2.021 2.022 2.023 2.024 2.025 2.026 2.027 2.028 2.029 2.030 2.031 2.032 2.033 2.034 2.035 2.036 2.037 2.038 2.039 2.040 2.041 2.042 2.043 2.044 2.045 2.046 2.047 2.048 2.049 2.050 2.051 2.052 2.053 2.054 2.055 2.056 2.057 2.058 2.059 2.060 2.061 2.062 2.063 2.064 2.065 2.066 2.067 2.068 2.069 2.070 2.071 2.072 2.073 2.074 2.075 2.076 2.077 2.078 2.079 2.080 2.081 2.082 2.083 2.084 2.085 2.086 2.087 2.088 2.089 2.090 2.091 2.092 2.093 2.094 2.095 2.096 2.097 2.098 2.099 2.100 2.101 2.102 2.103 2.104 2.105 2.106 Digit on Wolfram Mathworld
  3. a-pointer prime on OEIS
    a-pointer prime on NUNBERSAPLENTY
  4. 4.0 4.1 4.2 emirP on OEIS
    "emirP" on NUMBERSAPLENTY
  5. 5.00 5.01 5.02 5.03 5.04 5.05 5.06 5.07 5.08 5.09 5.10 5.11 5.12 Recurring digial invariant on Wolfram Mathworld
  6. 6.0 6.1 Constant digit scanning on Wolfram Mathworld
  7. 7.0 7.1 7.2 Honest mumber
  8. 8.0 8.1 8.2 Kaprekar number on Wolfram Mathworld
    Kaprekar number on NUMBERSAPLENTY
  9. 9.0 9.1
    Cyclic number on Wolfram Mathworld
    Full Reptend Prime on Wolfram Mathworld
  10. 10.00 10.01 10.02 10.03 10.04 10.05 10.06 10.07 10.08 10.09 10.10 10.11 10.12 10.13 Repdigit on Wolfram Mathworld
    Repdigit on NUMBERSAPLENTY
  11. 11.00 11.01 11.02 11.03 11.04 11.05 11.06 11.07 11.08 11.09 11.10 11.11 11.12 11.13 11.14 11.15 11.16 11.17 11.18 11.19 11.20 11.21 11.22 11.23 11.24 11.25 11.26 11.27 11.28 11.29 Repunit on Wolfram Mathworld
    Repunit on NUMBERSAPLENTY
  12. Self-ranked number on OEIS
  13. 13.0 13.1 Automorphic number on Wolfram Mathworld
    Automorphic number on NUMBERSAPLENTY
  14. 14.0 14.1 14.2 14.3 14.4 Fractional Friedman numbers, Redundant Friedman numbers, Almost Friedman numbers, Non-integral Friedman numbers
  15. 15.0 15.1 15.2 15.3 15.4 15.5 Narcissistic number on Wolfram Mathworld
    k-Narcissistic number on OEIS
    Narcissistic number on NUMBERSAPLENTY
  16. 16.0 16.1 16.2 16.3 16.4 Repfigit on Wolfram Mathworld
    Repfigit on NUMBERSAPLENTY
  17. Hoax number on Wolfram Mathworld
    Hoax number on NUMBERSAPLENTY
  18. 18.00 18.01 18.02 18.03 18.04 18.05 18.06 18.07 18.08 18.09 Smarandache number on Wolfram Mathworld
  19. Early bird number on OEIS
  20. 20.0 20.1 20.2 20.3 20.4 20.5 20.6 Pandigital on Wolfram Mathworld
    Pandigital on NUMBERSAPLENTY
  21. 21.0 21.1 21.2 21.3 21.4 21.5 21.6 Anti-Friedman number, Shifted Friedman number, Friedman pair, Friedman loop
  22. 22.0 22.1 22.2 22.3 22.4 22.5 Handsome number on OEIS
    Handsome number on NUMBERSAPLENTY
  23. 23.0 23.1 23.2 Fermat pseudoprime on Wolfram Mathworld. Note: Numbers that share a prime factor with the base is usually not taken into consideration unless otherwise noted.
  24. Harshad number on Wolfram Mathworld
    Harshad number on NUMBERSAPLENTY
  25. Disarium number on OEIS
  26. 26.00 26.01 26.02 26.03 26.04 26.05 26.06 26.07 26.08 26.09 26.10 26.11 26.12 26.13 26.14 26.15 26.16 26.17 26.18 26.19 Palindromic on Wolfram Mathworld
    Palindromic on NUMBERSAPLENTY
  27. Honaker prime on NUMBERSAPLENTY
  28. 28.0 28.1 28.2 28.3 28.4 28.5 28.6 28.7 28.8 Reversal on Wolfram Mathworld
  29. 29.0 29.1 29.2 29.3 29.4 Brilliant number on OEIS
    Brilliant number on NUMBERSAPLENTY
  30. "Kind" number on OEIS
  31. "Magic" number on OEIS
  32. Enlightened number on OEIS
    Enlightened number on NUMBERSAPLENTY
  33. 33.0 33.1 33.2 33.3 Concatenation on Wolfram Mathworld
  34. Gilda number on OEIS
    Gilda number on NUMBERSAPLENTY
  35. 35.0 35.1 35.2 Canada number on NUMBERSAPLENTY
  36. 36.0 36.1 36.2 36.3 Happy number on Wolfram Mathworld
    Happy number on NUMBERSAPLENTY
  37. "Deletable prime" on t5k
  38. 38.0 38.1 Smith number on Wolfram Mathworld
    Smith number on NUMBERSAPLENTY
  39. 39.0 39.1 39.2 39.3 39.4 39.5 Digit sum on Wolfram Mathworld
  40. Anomalous Cancellation on Wolfram Mathworld
  41. 41.0 41.1 Home prime on Wolfram Mathworld
  42. Gapful number on OEIS
    Gapful number on NUMBERSAPLENTY
  43. 43.0 43.1 Rebasing on OEIS Wiki
  44. 44.00 44.01 44.02 44.03 44.04 44.05 44.06 44.07 44.08 44.09 44.10 44.11 44.12 44.13 Cyclops number on OEIS
  45. Alternating number on NUMBERSAPLENTY
  46. 46.0 46.1 Bijective integer bases from The Wayback Machine via Google
  47. 47.0 47.1 Expanded notation on Wolfram Mathworld
  48. Balanced ternary on Simple Wikipedia
  49. Lynch-Bell number on OEIS
    Lynch-Bell number on NUMBERSAPLENTY
  50. Friedman numbers, Nice Friedman numbers
    Friedman numbers on NUMBERSAPLENTY
  51. Esthetic number on OEIS
    Esthetic number on NUMBERSAPLENTY
  52. Fibodiv on OEIS
    Fibodiv on NUMBERSAPLENTY
  53. Xenodromes on OEIS


External links

This article is inspired by these pages
Properties that are not base-specific