Changes: 19

Revision as of 16:22, 3 May 2018

19

Basic Information

Cardinal Number

nineteen

Ordinal Number

nineteenth

Roman Numeral

XIX

Greek Numeral

ΙΘ´

Factorization

19

Standard Form

1.9 × 10¹

Different Representations

Binary Form

10011₂

Ternary Form

201₃

Quaternary Form

103₄

Quinary Form

34₅

Senary Form

31₆

Septenary Form

25₇

Octal Form

23₈

Nonary Form

21₉

Undecimal Form

18₁₁

Duodecimal Form

17₁₂

Tridecimal Form

16₁₃

Quattuordecimal Form

15₁₄

Quindecimal Form

14₁₅

Hexadecimal Form

13₁₆

Septendecimal Form

12₁₇

Octodecimal Form

11₁₈

Novemdecimal Form

10₁₉

Vigesimal Form

J₂₀

Unvigesimal Form

J₂₁

Duovigesimal Form

J₂₂

Trevigesimal Form

J₂₃

Quattuorvigesimal Form

J₂₄

Quinvigesimal Form

J₂₅

Hexavigesimal Form

J₂₆

Septenvigesimal Form

J₂₇

Octovigesimal Form

J₂₈

Novemvigesimal Form

J₂₉

Trigesimal Form

J₃₀

Untrigesimal Form

J₃₁

Duotrigesimal Form

J₃₂

Tretrigesimal Form

J₃₃

Quattuortrigesimal Form

J₃₄

Quintrigesimal Form

J₃₅

Hexatrigesimal Form

J₃₆

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17	19	23

19 is a prime number from 1-100. 19 has 2 factors, 1 and 19. It is said to be the last number ranging from 1-100 that ends with teen, and after this number, by age you are already 20 years old, so you are not a teenager anymore. It is the eighth prime number, and the eighth prime number from 1-100.

Proofs

— 19 can be divided by 1.

— 19 cannot be divided by 2-18.

— 19 can be divided by 19.

Therefore it has 2 factors

As an Exponent of Mersenne Number

2¹⁹ - 1, which is the number 524,287, is a prime number. It is the 7th Mersenne Prime.

Relationship with other odd numbers

The numbers before

The previous odd number, 17, is a prime number.
- There are no odd numbers between 17 and 19. As a result, they are twin primes.
The odd number previous to 17 is 15. 15 is not a prime number. It is divisible by 3 and 5.
The odd number previous to 15 is 13. 13 is a prime number.
- 13 and 19 are six numbers apart; therefore, they are sexy primes.

The numbers after

The next odd number, 21, is not a prime number. It is divisible by 3 and 7.
23, the odd number following 21, is a prime number.
- 19 and 23 are four numbers apart; therefore, they are cousin primes.
25, the odd number following 23, is not a prime number. It is a square number, being 5² = 25.

Prime Numbers 1-1,000

1-100
1-25	2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 • 23
26-50	29 • 31 • 37 • 41 • 43 • 47
51-75	53 • 59 • 61 • 67 • 71 • 73
76-100	79 • 83 • 89 • 97

101-200
101-125	101 • 103 • 107 • 109 • 113
126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
201-250	211 • 223 • 227 • 229 • 233 • 239 • 241
250-300	251 • 257 • 263 • 269 • 271 • 277 • 281 • 283 • 293
301-350	307 • 311 • 313 • 317 • 331 • 337 • 347 • 349
351-400	353 • 359 • 367 • 373 • 379 • 383 • 389 • 397

401-600
401-450	401 • 409 • 419 • 421 • 431 • 433 • 439 • 443 • 449
450-500	457 • 461 • 463 • 467 • 479 • 487 • 491 • 499
501-550	503 • 509 • 521 • 523 • 541 • 547
551-600	557 • 563 • 569 • 571 • 577 • 587 • 593 • 599

601-800
601-650	601 • 607 • 613 • 617 • 619 • 631 • 641 • 643 • 647
651-700	653 • 659 • 661 • 673 • 677 • 683 • 691
701-750	701 • 709 • 719 • 727 • 733 • 739 • 743
751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
801-850	809 • 811 • 821 • 823 • 827 • 829 • 839
851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997

@@ Line 17: / Line 17: @@
 *{{Divisibility number|Yes|19.}}
 *Therefore it has 2 factors
+==As an Exponent of Mersenne Number==
+<sup>19</sup> - 1, which is the number [[524,287]], is a prime number. It is the 7th Mersenne Prime.
 ==Relationship with other odd numbers==
 ===The numbers before===
@@ Line 38: / Line 42: @@
 [[Category:Cousin Primes]]
 [[Category:Chen Primes]]
+[[Category:Russian-doll primes]]
+[[Category:Multiplicative Persistence 1]]