| ||||
---|---|---|---|---|
Cardinal | one hundred twenty-seven | |||
Ordinal | 127th (one hundred twenty-seventh) | |||
Factorization | prime | |||
Prime | 31st | |||
Divisors | 1, 127 | |||
Greek numeral | ΡΚΖ´ | |||
Roman numeral | CXXVII | |||
Binary | 11111112 | |||
Ternary | 112013 | |||
Senary | 3316 | |||
Octal | 1778 | |||
Duodecimal | A712 | |||
Hexadecimal | 7F16 |
127 (one hundred [and] twenty-seven) is the natural number following 126 and preceding 128. It is also a prime number.
In mathematics
[edit]- As a Mersenne prime, 127 is related to the perfect number 8128. 127 is also the largest known Mersenne prime exponent for a Mersenne number, , which is also a Mersenne prime. It was discovered by Édouard Lucas in 1876 and held the record for the largest known prime for 75 years.
- is the largest prime ever discovered by hand calculations as well as the largest known double Mersenne prime.
- Furthermore, 127 is equal to , and 7 is equal to , and 3 is the smallest Mersenne prime, making 7 the smallest double Mersenne prime and 127 the smallest triple Mersenne prime.
- There are a total of 127 prime numbers between 2,000 and 3,000.
- 127 is also a cuban prime of the form , .[1] The next prime is 131, with which it comprises a cousin prime. Because the next odd number, 129, is a semiprime, 127 is a Chen prime.[2] 127 is greater than the arithmetic mean of its two neighboring primes; thus, it is a strong prime.[3]
- 127 is a centered hexagonal number.[4]
- It is the seventh Motzkin number.[5]
- 127 is a palindromic prime in nonary and binary.
- 127 is the first Friedman prime in decimal. It is also the first nice Friedman number in decimal, since , as well as binary since .
- 127 is the sum of the sums of the divisors of the first twelve positive integers.[6]
- 127 is the smallest prime that can be written as the sum of the first two or more odd primes: .[7]
- 127 is the smallest odd number that cannot be written in the form , for p is a prime number, and x is an integer, since and are all composite numbers.[8]
- 127 is an isolated prime where neither nor is prime.
- 127 is the smallest digitally delicate prime in binary.[9]
- 127 is the 31st prime number and therefore it is the smallest Mersenne prime with a Mersenne prime index.
- 127 is the largest number with the property where is the nth prime number. There are only two numbers with that property; the other one is 43.
- 127 is equal to where is the nth prime number.
- 127 is the number of non-equivalent ways of expressing 10,000 as the sum of two prime numbers[10]
- 127/50 = 2.54, the number of centimeters in one inch.
In the military
[edit]- USNS Mission San Luis Obispo (T-AO-127) was a Mission Buenaventura-class fleet oilers during World War II
- USS Admiral W. S. Sims (AP-127) was a United States Navy transport ship
- USS Allendale (APA-127) was a United States Navy Haskell-class attack transport
- USS Alnitah (AK-127) was a United States Navy Crater-class cargo ship in World War II
- USS Raccoon (IX-127) was a United States Navy Armadillo-class tanker
- USS Tumult (AM-127) was a United States Navy Auk-class minesweeper for removing naval mines
In religion
[edit]- The biblical figure Sarah died at the age of 127.[11]
- According to the Book of Esther, the Persian Empire under Ahasuerus consisted of 127 provinces "from India to Ethiopia".[12]
- Havamal Stanza 127 is used as a declaration against folkish traditions of Heathenry and specifically the Asatru Folk Assembly.[13]
In transportation
[edit]- The small Fiat 127 automobile
- London Buses route 127 is a Transport for London contracted bus route in London
- 127 is the number of many roads, including U.S. Route 127
- STS-127 was a Space Shuttle Endeavour mission to the International Space Station which launched on June 15, 2009
In other fields
[edit]- 127 Hours is a film released in 2010
- The year AD 127 or 127 BC
- 127 AH is a year in the Islamic calendar that corresponds to 744 – 745 CE
- 127 Johanna, a Main belt asteroid
- 127 film, a film format
- The atomic number of Unbiseptium, an element that has not yet been discovered
- The LZ 127 Graf Zeppelin, a dirigible
- Sonnet 127 by William Shakespeare
- 127th Street Ensemble was a troupe of African-American actors which included Tupac Amaru Shakur
- NCT 127, K-pop boy group under SM Entertainment
- In IP (Internet Protocol) Version 4, it is the last Class A network and is also the subnet used for loopback functionality in computer networking
- The highest signed 8-bit integer, using two's complement
- The non-printable "Delete" (DEL) control character in ASCII.
- Linotype (and Intertype) machines used brass matrices with one of 127 possible combinations punched into the top to enable the matrices to return to their proper channel in the magazine.
- 127 is the smallest positive integer, n, such that n centimeters is a whole number of inches. 127 cm is exactly 50 inches.
- 127 is the total number of people, including self and all ancestors, in a 7-generation (back to 4-great grandparents) pedigree chart in genealogy.
See also
[edit]References
[edit]- ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- ^ Sloane, N. J. A. (ed.). "Sequence A109611 (Chen primes: primes p such that p + 2 is either a prime or a semiprime.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A051634 : Strong primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- ^ "Sloane's A003215 : Hex (or centered hexagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
- ^ Sloane, N. J. A. (ed.). "Sequence A024916 (sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A071148". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.. Partial sums of a sequence of odd primes; a(n) = sum of the first n odd primes.
- ^ Sloane, N. J. A. (ed.). "Sequence A006285 (Odd numbers not of form p + 2^x (de Polignac numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A137985". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.. Complementing any single bit in the binary representation of these primes produces a composite number.
- ^ Sloane, N. J. A. (ed.). "Sequence A065577 (Number of Goldbach partitions of 10^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-08-31.
- ^ "Sara". Catholic Encyclopedia. Retrieved September 8, 2015.
- ^ Esther 1:1
- ^ "Declaration 127".
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136 - 138
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