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| − | {{Infobox |
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| − | |title = 31 |
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| − | |image = 31.png |
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| − | |imagewidth = 200 |
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| − | |roman-number = XXXI |
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| − | |ordinal-number = thirty first |
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| − | |cardinal-number = thirty-one |
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| − | |standard-form = 3.1{{E|1}} |
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| − | |Base-2 Form = 11111 |
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| − | |Base-8 Form = 37 |
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| − | |Base-16 Form = 1F |
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| − | |previous = 29 |
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| − | |next = 37}} |
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| − | 31 is a [[1-100|prime number from 1-100]]. 31 has 2 factors, 1 and 31. It is said to be a number wherein when digits are added together, they make a composite number. It is the eleventh prime number, and the eleventh prime number from 1-100. [[File:31.png|thumb]] |
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| − | ==Proofs== |
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| − | *{{Divisibility number|Yes|1.}} |
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| − | *{{Divisibility number|No|2-30.}} |
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| − | *{{Divisibility number|Yes|31.}} |
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| − | ==As an Exponent of Mersenne Number== |
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| − | 2<sup>31</sup> - 1, which is the number 2,147,483,647, is a prime number. It is the 8th 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, 29, is a prime number. |
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| − | **There are no odd numbers between 29 and 31. As a result, they are twin primes. |
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| − | *Before 29, the previous two odd numbers are 25 and 27. 25 is a square number, being 5<sup>2</sup> = 25. 27 is a cube number, being 3<sup>3</sup> = 27. |
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| − | *The prime number previous to 29 is 23. |
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| − | ===The numbers after=== |
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| − | *The next odd number, 33, is '''not''' a prime number. It is divisible by 3 and 11. |
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| − | *The next odd number, 35, is also '''not''' a prime number. It is divisible by 5 and 7. |
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| − | *37, the odd number following 35, is a prime number. |
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| − | **31 and 37 are six numbers apart; therefore, they are sexy primes. |
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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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