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|roman-number = XXIX |
|roman-number = XXIX |
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|ordinal-number = twenty ninth |
|ordinal-number = twenty ninth |
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+ | |cardinal-number = twenty-nine |
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− | |previous = [[23|<font color="white">23</font>]] |
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+ | |Base-2 Form = 11101 |
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⚫ | |||
+ | |Base-8 Form = 35 |
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+ | |Base-16 Form = 1D |
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+ | |previous = 23 |
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+ | |next = 31|standard-form = 2.9{{E|1}}}} |
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⚫ | |||
==Proofs== |
==Proofs== |
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+ | *{{Divisibility number|Yes|1.}} |
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− | *1 can divide 29 |
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+ | *{{Divisibility number|No|2-28.}} |
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− | *2 cannot |
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+ | *{{Divisibility number|Yes|29.}} |
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− | *3 cannot |
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⚫ | |||
− | *4 - 28 cannot |
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+ | |||
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+ | ==As an Exponent of Mersenne Number== |
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+ | 2<sup>29</sup> - 1, which is the number 536,870,911, can be factored into [[233]] x [[1,103]] x [[2,089]], and therefore not a prime number. |
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+ | |||
+ | ==Relationship with other odd numbers== |
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+ | ===The numbers before=== |
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+ | *The previous prime number is 23. The numbers in between are composite. |
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+ | **Among them, 25 is a square number, being 5<sup>2</sup> = 25. |
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+ | **27 is a cube number, being 3<sup>3</sup> = 27. |
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+ | **23 and 29 are six numbers apart; therefore, they are sexy primes. |
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+ | |||
+ | ===The numbers after=== |
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+ | *The next odd number, 31, 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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+ | *33, the odd number following 31, is not a prime number. It is divisible by 3 and 11. |
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+ | *35, the odd number following 33, is also not a prime number. It is divisible by 5 and 7. |
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{{Navbox primes}} |
{{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]] |
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+ | [[Category:2-Digit Prime Numbers]] |
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+ | [[Category:Twin Primes]] |
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+ | [[Category:Additive Primes]] |
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+ | [[Category:Sexy Primes]] |
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+ | [[Category:Chen Primes]] |
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+ | [[Category:Russian-doll primes]] |
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+ | [[Category:Multiplicative Persistence 2]] |
Revision as of 16:23, 3 May 2018
29 is a prime number from 1-100. 29 has 2 factors, 1 and 29. It is said to be another number wherein when digits are added together, they make a prime number. It is the tenth prime number, and the tenth prime number from 1-100.
Proofs
- Therefore 29 has 2 factors
As an Exponent of Mersenne Number
229 - 1, which is the number 536,870,911, can be factored into 233 x 1,103 x 2,089, and therefore not a prime number.
Relationship with other odd numbers
The numbers before
- The previous prime number is 23. The numbers in between are composite.
- Among them, 25 is a square number, being 52 = 25.
- 27 is a cube number, being 33 = 27.
- 23 and 29 are six numbers apart; therefore, they are sexy primes.
The numbers after
- The next odd number, 31, is a prime number.
- There are no odd numbers between 29 and 31. As a result, they are twin primes.
- 33, the odd number following 31, is not a prime number. It is divisible by 3 and 11.
- 35, the odd number following 33, is also not a prime number. It is divisible by 5 and 7.