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|imagewidth = 200 |
|imagewidth = 200 |
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|roman-number = CXXVII |
|roman-number = CXXVII |
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− | |ordinal-number = one hundred and twenty seventh |
+ | |ordinal-number = one hundred and twenty seventh |
+ | |previous = 113 |
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⚫ | |||
+ | |next = 131 |
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⚫ | |||
|Base-2 Form = 1111111 |
|Base-2 Form = 1111111 |
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− | |Base-3 Form = 11201 |
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− | |Base-4 Form = 1333 |
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− | |Base-5 Form = 1002 |
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− | |Base-6 Form = 331 |
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− | |Base-7 Form = 241 |
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|Base-8 Form = 177 |
|Base-8 Form = 177 |
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− | |Base- |
+ | |Base-16 Form = 7F|standard-form = 1.27{{E|2}}}}127 is a [http://prime-numbers.wikia.com/wiki/101-200 prime number from 101-200]. 127 has 2 factors, 1 and 127. It is the 31st prime number, and the sixth prime number from 101-200. It is the 4th [[Mersenne Primes|Mersenne Prime]], being 2<sup>7</sup> - 1 = 127, the second [[Double Mersenne Prime]] and smallest Triple Mersenne Prime (both facts since 7 is a Double Mersenne Prime). |
==Proofs== |
==Proofs== |
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− | *{{Divisibility number|Yes|1}} |
+ | *{{Divisibility number|Yes|1.}} |
− | *{{Divisibility number|No|2- |
+ | *{{Divisibility number|No|2-126.}} |
− | *{{Divisibility number|Yes|{{PAGENAME}}}} |
+ | *{{Divisibility number|Yes|{{PAGENAME}}.}} |
+ | ==As an Exponent of Mersenne Number== |
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+ | 2<sup>127</sup> - 1 is a prime number. It is the 12th Mersenne Prime. The full number consists of 39 digits: |
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+ | 170141183460469231731687303715884105727 |
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==Relationship with other odd numbers== |
==Relationship with other odd numbers== |
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===The numbers before=== |
===The numbers before=== |
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[[Category:Mersenne Primes]] |
[[Category:Mersenne Primes]] |
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[[Category:Double Mersenne Primes]] |
[[Category:Double Mersenne Primes]] |
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+ | [[Category:Cousin Primes]] |
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+ | [[Category:Chen Primes]] |
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+ | [[Category:Multiplicative Persistence 2]] |
Revision as of 06:59, 11 July 2016
127 is a prime number from 101-200. 127 has 2 factors, 1 and 127. It is the 31st prime number, and the sixth prime number from 101-200. It is the 4th Mersenne Prime, being 27 - 1 = 127, the second Double Mersenne Prime and smallest Triple Mersenne Prime (both facts since 7 is a Double Mersenne Prime).
Proofs
As an Exponent of Mersenne Number
2127 - 1 is a prime number. It is the 12th Mersenne Prime. The full number consists of 39 digits:
170141183460469231731687303715884105727
Relationship with other odd numbers
The numbers before
- The previous prime number is 113. It features a huge gap, as 113 and 127 are fourteen numbers apart.
- Among the odd composite numbers between them:
- 117 and 123 are divisible by 3.
- 115 and 125 are divisible by 5.
- 119 is divisible by 7.
- 121 is divisible by 11. In addition, it is a square number.
The numbers after
- The next prime number is 131.
- 127 and 131 are four numbers apart; therefore, they are cousin primes.
- 137 is the next prime number after 131.
- In particular, 133 is divisible by 7, therefore not a prime number.
Usage
Film
- 127 hours, a film based on true story.