127 (number)

127 (one hundred [and] twenty-seven) is the natural number following 126 and preceding 128. It is also a prime number.

• 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, ${\displaystyle 2^{127}-1}$, 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.
  • ${\displaystyle 2^{127}-1}$ is the largest prime ever discovered by hand calculations as well as the largest known double Mersenne prime.
  • Furthermore, 127 is equal to ${\displaystyle 2^7-1}$, and 7 is equal to ${\displaystyle 2^3-1}$, 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 ${\displaystyle p=\frac{x^3-y^3}{x-y}}$, ${\displaystyle x=y+1}$.^[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. 127 is greater than the arithmetic mean of its two neighboring primes; thus, it is a strong prime.^[2]
• 127 is a centered hexagonal number.^[3]
• It is the seventh Motzkin number.^[4]
• 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 ${\displaystyle 127=2^7-1}$, as well as binary since ${\displaystyle 1111111=(1+1{)}^{111}-1}$ .
• 127 is the sum of the sums of the divisors of the first twelve positive integers.^[5]
• 127 is the smallest prime that can be written as the sum of the first two or more odd primes: ${\displaystyle 127=3+5+7+11+13+17+19+23+29}$.^[6]
• 127 is the smallest odd number that cannot be written in the form ${\displaystyle p+2^x}$, for p is a prime number, and x is an integer, since ${\displaystyle 127-2^0=126,}$ ${\displaystyle 127-2^1=125,}$ ${\displaystyle 127-2^2=123,}$ ${\displaystyle 127-2^3=119,}$ ${\displaystyle 127-2^4=111,}$ ${\displaystyle 127-2^5=95,}$ and ${\displaystyle 127-2^6=63}$ are all composite numbers.^[7]
• 127 is an isolated prime where neither ${\displaystyle p-2}$ nor ${\displaystyle p+2}$ is prime.
• 127 is the smallest digitally delicate prime in binary.^[8]
• 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 ${\displaystyle 127=1\cdot \text{<mrow data-mjx-texclass="ORD">prime</mrow>}(1)+2\cdot \text{<mrow data-mjx-texclass="ORD">prime</mrow>}(2)+7\cdot \text{<mrow data-mjx-texclass="ORD">prime</mrow>}(7),}$ where ${\displaystyle \text{<mrow data-mjx-texclass="ORD">prime</mrow>}(n)}$ is the nth prime number. There are only two numbers with that property; the other one is 43.
• 127 is equal to ${\displaystyle {\text{<mrow data-mjx-texclass="ORD">prime</mrow>}}^6(1),}$ where ${\displaystyle \text{<mrow data-mjx-texclass="ORD">prime</mrow>}(n)}$ is the nth prime number.
• 127 is the number of non-equivalent ways of expressing 10,000 as the sum of two prime numbers^[9]
• 127/50 = 2.54, the number of centimeters in one inch.

• missing name was a Mission Buenaventura-class fleet oilers during World War II
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• The biblical figure Sarah died at the age of 127.^[10]
• According to the Book of Esther, the Persian Empire under Ahasuerus consisted of 127 provinces "from India to Ethiopia".^[11]
• Havamal Stanza 127 is used as a declaration against folkish traditions of Heathenry and specifically the Asatru Folk Assembly.^[12]

• 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

• 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.

• 127th (disambiguation)
• List of highways numbered 127
• United Nations Security Council Resolution 127

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136 - 138

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