# Number 13

## Properties#

- 13 is 2nd centered square prime for n = 2
- 13 is 6th chen prime
- 13 is part of 3rd cousin prime {
**13**, 17} - 13 is 1st cuban prime 2
- 13 is 1st emirps, its corresponding prime is 31
- 13 is 4th fibonacci prime
- 13 is 2nd happy prime
- 13 is 2nd harmonic prime
- 13 is 5th left-truncatable prime
- 13 is 3rd lucky prime
- 13 is 5th multiplicative prime because product of its digits is 3 which is also prime
- 13 is 5th pierpont prime
- 13 is 6th prime
- 13 is part of 2nd prime quadruplet {11,
**13**, 17, 19} - 13 is part of 1st prime quadruplet {5, 7, 11,
**13**} - 13 is part of 1st prime quintuplet 1 {7, 11,
**13**, 17, 19} - 13 is part of 2nd prime quintuplet 2 {11,
**13**, 17, 19, 23} - 13 is part of 1st prime quintuplet 2 {5, 7, 11,
**13**, 17} - 13 is part of 1st prime sextuplet {7, 11,
**13**, 17, 19, 23} - 13 is part of 4th prime triplet {
**13**, 17, 19} - 13 is part of 3rd prime triplet {11,
**13**, 17} - 13 is part of 2nd prime triplet {7, 11,
**13**} - 13 is 3rd proth prime
- 13 is 2nd pythagorean prime
- 13 is part of 4th sexy prime {
**13**, 19} - 13 is part of 2nd sexy prime {7,
**13**} - 13 is part of 2nd sexy prime triplet {7,
**13**, 19} - 13 is 5th solinas prime
- 13 is 2nd thabit prime of the 2nd kind
- 13 is part of 3rd twin prime {11,
**13**} - 13 is 4th ulam prime
- 13 is 2nd wilson prime

## External#

## Neighbours#

1 | 2_{26} | 3_{29} | 4_{1} | 5_{36} |

6_{1} | 7_{37} | 8 | 9_{1} | 10_{1} |

11_{36} | 12 | 13_{32} | 14_{1} | 15_{1} |

16 | 17_{36} | 18 | 19_{18} | 20 |

21_{1} | 22_{1} | 23_{30} | 24 | 25_{1} |

## Compare with#

1 | 2_{26} | 3_{29} | 4_{1} | 5_{36} |

6_{1} | 7_{37} | 8 | 9_{1} | 10_{1} |

11_{36} | 12 | 13_{32} | 14_{1} | 15_{1} |

16 | 17_{36} | 18 | 19_{18} | 20 |

21_{1} | 22_{1} | 23_{30} | 24 | 25_{1} |

## Different Representations#

- 13 in roman numerals is XIII
- 13 in base 2 is 1101
_{2} - 13 in base 3 is 111
_{3} - 13 in base 4 is 31
_{4} - 13 in base 5 is 23
_{5} - 13 in base 6 is 21
_{6} - 13 in base 7 is 16
_{7} - 13 in base 8 is 15
_{8} - 13 in base 9 is 14
_{9} - 13 in base 10 is 13
_{10} - 13 in base 11 is 12
_{11} - 13 in base 12 is 11
_{12} - 13 in base 13 is 10
_{13} - 13 in base 14 is d
_{14} - 13 in base 15 is d
_{15} - 13 in base 16 is d
_{16}

## Belongs Into#

- 13 belongs into first 10 centered square primes.
- 13 belongs into first 10 chen primes.
- 13 belongs into first 10 cousin primes.
- 13 belongs into first 10 cuban prime 2s.
- 13 belongs into first 10 emirpss.
- 13 belongs into first 10 fibonacci primes.
- 13 belongs into first 10 happy primes.
- 13 belongs into first 10 harmonic primes.
- 13 belongs into first 10 left-truncatable primes.
- 13 belongs into first 10 lucky primes.
- 13 belongs into first 10 multiplicative primes.
- 13 belongs into first 10 pierpont primes.
- 13 belongs into first 10 primes.
- 13 belongs into first 10 prime quadruplets.
- 13 belongs into first 10 prime quadruplets.
- 13 belongs into first 10 prime quintuplet 1s.
- 13 belongs into first 10 prime quintuplet 2s.
- 13 belongs into first 10 prime quintuplet 2s.
- 13 belongs into first 10 prime sextuplets.
- 13 belongs into first 10 prime triplets.
- 13 belongs into first 10 prime triplets.
- 13 belongs into first 10 prime triplets.
- 13 belongs into first 10 proth primes.
- 13 belongs into first 10 pythagorean primes.
- 13 belongs into first 10 sexy primes.
- 13 belongs into first 10 sexy primes.
- 13 belongs into first 10 sexy prime triplets.
- 13 belongs into first 10 solinas primes.
- 13 belongs into first 10 thabit prime of the 2nd kinds.
- 13 belongs into first 10 twin primes.
- 13 belongs into first 10 ulam primes.
- 13 belongs into first 10 wilson primes.

## You May Also Ask#

- Is 13 additive prime?
- Is 13 bell prime?
- Is 13 carol prime?
- Is 13 centered decagonal prime?
- Is 13 centered heptagonal prime?
- Is 13 centered square prime?
- Is 13 centered triangular prime?
- Is 13 chen prime?
- Is 13 class 1+ prime?
- Is 13 part of cousin prime?
- Is 13 cuban prime 1?
- Is 13 cuban prime 2?
- Is 13 cullen prime?
- Is 13 dihedral prime?
- Is 13 double mersenne prime?
- Is 13 emirps?
- Is 13 euclid prime?
- Is 13 factorial prime?
- Is 13 fermat prime?
- Is 13 fibonacci prime?
- Is 13 genocchi prime?
- Is 13 good prime?
- Is 13 happy prime?
- Is 13 harmonic prime?
- Is 13 isolated prime?
- Is 13 kynea prime?
- Is 13 left-truncatable prime?
- Is 13 leyland prime?
- Is 13 long prime?
- Is 13 lucas prime?
- Is 13 lucky prime?
- Is 13 mersenne prime?
- Is 13 mills prime?
- Is 13 multiplicative prime?
- Is 13 palindromic prime?
- Is 13 pierpont prime?
- Is 13 pierpont prime of the 2nd kind?
- Is 13 prime?
- Is 13 part of prime quadruplet?
- Is 13 part of prime quintuplet 1?
- Is 13 part of prime quintuplet 2?
- Is 13 part of prime sextuplet?
- Is 13 part of prime triplet?
- Is 13 proth prime?
- Is 13 pythagorean prime?
- Is 13 quartan prime?
- Is 13 restricted left-truncatable prime?
- Is 13 restricted right-truncatable prime?
- Is 13 right-truncatable prime?
- Is 13 safe prime?
- Is 13 semiprime?
- Is 13 part of sexy prime?
- Is 13 part of sexy prime quadruplets?
- Is 13 part of sexy prime triplet?
- Is 13 solinas prime?
- Is 13 sophie germain prime?
- Is 13 super prime?
- Is 13 thabit prime?
- Is 13 thabit prime of the 2nd kind?
- Is 13 part of twin prime?
- Is 13 two-sided prime?
- Is 13 ulam prime?
- Is 13 wagstaff prime?
- Is 13 weakly prime?
- Is 13 wedderburn-etherington prime?
- Is 13 wilson prime?
- Is 13 woodall prime?

## Smaller than 13#

- Additive primes up to 13
- Bell primes up to 13
- Carol primes up to 13
- Centered decagonal primes up to 13
- Centered heptagonal primes up to 13
- Centered square primes up to 13
- Centered triangular primes up to 13
- Chen primes up to 13
- Class 1+ primes up to 13
- Cousin primes up to 13
- Cuban primes 1 up to 13
- Cuban primes 2 up to 13
- Cullen primes up to 13
- Dihedral primes up to 13
- Double mersenne primes up to 13
- Emirps up to 13
- Euclid primes up to 13
- Factorial primes up to 13
- Fermat primes up to 13
- Fibonacci primes up to 13
- Genocchi primes up to 13
- Good primes up to 13
- Happy primes up to 13
- Harmonic primes up to 13
- Isolated primes up to 13
- Kynea primes up to 13
- Left-truncatable primes up to 13
- Leyland primes up to 13
- Long primes up to 13
- Lucas primes up to 13
- Lucky primes up to 13
- Mersenne primes up to 13
- Mills primes up to 13
- Multiplicative primes up to 13
- Palindromic primes up to 13
- Pierpont primes up to 13
- Pierpont primes of the 2nd kind up to 13
- Primes up to 13
- Prime quadruplets up to 13
- Prime quintuplet 1s up to 13
- Prime quintuplet 2s up to 13
- Prime sextuplets up to 13
- Prime triplets up to 13
- Proth primes up to 13
- Pythagorean primes up to 13
- Quartan primes up to 13
- Restricted left-truncatable primes up to 13
- Restricted right-truncatable primes up to 13
- Right-truncatable primes up to 13
- Safe primes up to 13
- Semiprimes up to 13
- Sexy primes up to 13
- Sexy prime quadrupletss up to 13
- Sexy prime triplets up to 13
- Solinas primes up to 13
- Sophie germain primes up to 13
- Super primes up to 13
- Thabit primes up to 13
- Thabit primes of the 2nd kind up to 13
- Twin primes up to 13
- Two-sided primes up to 13
- Ulam primes up to 13
- Wagstaff primes up to 13
- Weakly primes up to 13
- Wedderburn-etherington primes up to 13
- Wilson primes up to 13
- Woodall primes up to 13

## First 13#

- First 13 additive primes
- First 13 bell primes
- First 13 carol primes
- First 13 centered decagonal primes
- First 13 centered heptagonal primes
- First 13 centered square primes
- First 13 centered triangular primes
- First 13 chen primes
- First 13 class 1+ primes
- First 13 cousin primes
- First 13 Cuban primes 1
- First 13 Cuban primes 2
- First 13 cullen primes
- First 13 dihedral primes
- First 13 double mersenne primes
- First 13 Emirps
- First 13 euclid primes
- First 13 factorial primes
- First 13 fermat primes
- First 13 fibonacci primes
- First 13 genocchi primes
- First 13 good primes
- First 13 happy primes
- First 13 harmonic primes
- First 13 isolated primes
- First 13 kynea primes
- First 13 left-truncatable primes
- First 13 leyland primes
- First 13 long primes
- First 13 lucas primes
- First 13 lucky primes
- First 13 mersenne primes
- First 13 mills primes
- First 13 multiplicative primes
- First 13 palindromic primes
- First 13 pierpont primes
- First 13 Pierpont primes of the 2nd kind
- First 13 primes
- First 13 prime quadruplets
- First 13 prime quintuplet 1s
- First 13 prime quintuplet 2s
- First 13 prime sextuplets
- First 13 prime triplets
- First 13 proth primes
- First 13 pythagorean primes
- First 13 quartan primes
- First 13 restricted left-truncatable primes
- First 13 restricted right-truncatable primes
- First 13 right-truncatable primes
- First 13 safe primes
- First 13 semiprimes
- First 13 sexy primes
- First 13 sexy prime quadrupletss
- First 13 sexy prime triplets
- First 13 solinas primes
- First 13 sophie germain primes
- First 13 super primes
- First 13 thabit primes
- First 13 Thabit primes of the 2nd kind
- First 13 twin primes
- First 13 two-sided primes
- First 13 ulam primes
- First 13 wagstaff primes
- First 13 weakly primes
- First 13 wedderburn-etherington primes
- First 13 wilson primes
- First 13 woodall primes