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| − | {{Infobox |
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| − | |title = 19 |
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| − | |image = 19.png |
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| − | |imagewidth = 200 |
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| − | |roman-number = XIX |
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| − | |ordinal-number = nineteenth |
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| − | |cardinal-number = nineteen |
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| − | |Base-2 Form = 10011 |
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| − | |Base-8 Form = 23 |
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| − | |Base-16 Form = 13 |
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| − | |previous = 17 |
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| − | |next = 23|standard-form = 1.9{{E|1}}}} |
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| − | 19 is a [[1-100|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. |
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| − | ==Proofs== |
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| − | *{{Divisibility number|Yes|1.}} |
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| − | *{{Divisibility number|No|2-18.}} |
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| − | *{{Divisibility number|Yes|19.}} |
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| − | *Therefore it has 2 factors |
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| − | ==As an Exponent of Mersenne Number== |
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| − | 2<sup>19</sup> - 1, which is the number [[524,287]], is a prime number. It is the 7th Mersenne Prime. |
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| − | ==Relationship with other odd numbers== |
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| − | ===The numbers before=== |
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| − | *The previous odd number, 17, is a prime number. |
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| − | **There are no odd numbers between 17 and 19. As a result, they are twin primes. |
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| − | *The odd number previous to 17 is 15. 15 is not a prime number. It is divisible by 3 and 5. |
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| − | *The odd number previous to 15 is 13. 13 is a prime number. |
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| − | **13 and 19 are six numbers apart; therefore, they are sexy primes. |
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| − | ===The numbers after=== |
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| − | *The next odd number, 21, is not a prime number. It is divisible by 3 and 7. |
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| − | *23, the odd number following 21, is a prime number. |
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| − | **19 and 23 are four numbers apart; therefore, they are cousin primes. |
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| − | *25, the odd number following 23, is not a prime number. It is a square number, being 5<sup>2</sup> = 25. |
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| − | |||
| − | {{Navbox primes}} |
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[[Category:Prime numbers from 1-100]] |
[[Category:Prime numbers from 1-100]] |
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[[Category:Prime Numbers]] |
[[Category:Prime Numbers]] |
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