(Adding categories) |
|||
| (18 intermediate revisions by 7 users not shown) | |||
| Line 4: | Line 4: | ||
|imagewidth = 200 |
|imagewidth = 200 |
||
|roman-number = CXXVII |
|roman-number = CXXVII |
||
| − | |ordinal-number = one hundred and twenty seventh |
+ | |ordinal-number = one hundred and twenty seventh |
| + | |previous = 113 |
||
| ⚫ | |||
| + | |next = 131 |
||
| + | |cardinal-number = one hundred and twenty seven |
||
| + | |Base-2 Form = 1111111 |
||
| + | |Base-8 Form = 177 |
||
| ⚫ | |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== |
||
| + | *{{Divisibility number|Yes|1.}} |
||
| − | *1 can divide 127, just like all other positive integers. |
||
| + | *{{Divisibility number|No|2-126.}} |
||
| − | *2 cannot divide 127 because it is not even. |
||
| + | *{{Divisibility number|Yes|{{PAGENAME}}.}} |
||
| − | *3 cannot |
||
| + | ==As an Exponent of Mersenne Number== |
||
| − | *5 cannot |
||
| + | 2<sup>127</sup> - 1 is a prime number. It is the 12th Mersenne Prime. The full number consists of 39 digits: |
||
| − | *7 cannot |
||
| + | 170141183460469231731687303715884105727 |
||
| − | *11 cannot |
||
| − | *......127 can! |
||
==Relationship with other odd numbers== |
==Relationship with other odd numbers== |
||
===The numbers before=== |
===The numbers before=== |
||
| Line 26: | Line 30: | ||
*The next prime number is 131. |
*The next prime number is 131. |
||
**127 and 131 are four numbers apart; therefore, they are cousin primes. |
**127 and 131 are four numbers apart; therefore, they are cousin primes. |
||
| + | **43 x 3 = 129. |
||
*137 is the next prime number after 131. |
*137 is the next prime number after 131. |
||
**In particular, 133 is divisible by 7, therefore not a prime number. |
**In particular, 133 is divisible by 7, therefore not a prime number. |
||
| + | |||
| + | ==Usage== |
||
| + | ===Film=== |
||
| + | *127 hours, a film based on true story. |
||
{{Template:Navbox primes 3 digits}} |
{{Template:Navbox primes 3 digits}} |
||
| Line 33: | Line 42: | ||
[[Category:Prime numbers from 101-200]] |
[[Category:Prime numbers from 101-200]] |
||
[[Category:3-Digit Prime Numbers]] |
[[Category:3-Digit Prime Numbers]] |
||
| + | [[Category:Mersenne Primes]] |
||
| + | [[Category:Double Mersenne Primes]] |
||
| + | [[Category:Cousin Primes]] |
||
| + | [[Category:Chen Primes]] |
||
| + | [[Category:Multiplicative Persistence 2]] |
||
Revision as of 13:14, 9 February 2020
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
— 127 can be divided by 1.
— 127 cannot be divided by 2-126.
- — 127 can be divided by 127.
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.
- 43 x 3 = 129.
- 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.