71 (number)
From Wikipedia, the free encyclopedia
71 (seventy-one) is the natural number following 70 and preceding 72.
Cardinal | 71 seventy-one |
Ordinal | 71st seventy-first |
Factorization | prime |
Divisors | 1, 71 |
Roman numeral | LXXI |
Binary | 1000111 |
Hexadecimal | 47 |
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[edit] In mathematics
71 is the algebraic degree of Conway's constant, a remarkable number arising in the study of look-and-say sequences.
It is the 20th prime number. The next is 73, with which it composes a twin prime. It is also a permutable prime with 17. If we add up the primes less than 71 (2 through 67), we get 568, which is divisible by 71, 8 times. 71 is the largest (15th) supersingular prime, which is also a Chen prime. Also, 712 = 7! + 1, making it part of the last known pair of Brown numbers, as (71, 7). It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. Since 9! + 1 is divisible by 71 but 71 is not one more than a multiple of 9, 71 is a Pillai prime.
As 71 is the least prime factor of the first twenty-two terms of the Euclid-Mullin sequence, it is the twenty-third term. Also, 71 is the largest number which occurs as a prime factor of an order of a sporadic simple group.
71 is a centered heptagonal number.
[edit] In science
- The atomic number of lutetium, a lanthanide
In astronomy,
- Messier object M71, a magnitude 8.5 globular cluster in the constellation Sagitta
- The New General Catalogue object NGC 71, a magnitude 13.2 peculiar spiral galaxy in the constellation Andromeda
- The Saros number of the solar eclipse series which began on -702 October 8 and ended on 777 March 14. The duration of Saros series 71 was 1478.4 years, and it contained 83 solar eclipses.
- The Saros number of the lunar eclipse series which began on -472 June 4 and ended on 808 July 11. The duration of Saros series 71 was 1280.1 years, and it contained 72 lunar eclipses.
[edit] In Judaism
In ancient Israel there was a Sanhedrin headquarters; it had 71 judges who judged cases where the criminal deserved the death penalty.[citation needed]
[edit] In other fields
Seventy-one is also:
- The designation of USA Interstate 71, which runs from Kentucky to Ohio.
- The registry of the U.S. Navy's nuclear aircraft carrier USS Theodore Roosevelt (CVN-71), named after U.S. President Theodore Roosevelt.
- The number of the French department Saône-et-Loire.
- The year AD 71, 71 BC, or 1971.
- In the Mexican television sitcom, El Chavo del Ocho, Doña Clotilde lives in the apartment number 71, being therefore known as "Bruja del 71" (Witch of 71).
- Lockheed SR-71 Blackbird long-range, Mach 3 strategic reconnaissance aircraft
- Israel Prime Minister Yitzhak Rabin signed a historic agreement with the P.L.O. in 1993, at age 71
- "71 Fragments of a Chronology of Chance," a film by Michael Haneke
- The form number for the United States Office of Personnel Management for requesting a leave of absence.
[edit] In sports
- The best-known car number of NASCAR legend Dave Marcis
- Wayne Gretzky scored 71 goals with the Edmonton Oilers in the 1982-83 season
- Barry Bonds hit his 71st home run of 2001 against the Dodgers on October 5, 2001
- NFL Green Bay Packers Bill Forester wore #71
- NFL Dallas Cowboys Mark Tuinei wore #71
- NHL Boston Bruins Davis Payne wore #71
- NHL Nashville Predators J.P. Dumont wears #71
- NHL Pittsburgh Penguins Evgeni Malkin wears #71
- NHL Boston Bruins Jiri Slegr wears #71
[edit] In Popular Culture
- Refers to the sex position 69, with each partner placing a finger into the other partners anus, often to massage the prostate. This is intended to be a humorous reference, as 69 + 2 = 71.
- Bike number of Motocross Legend Caitlin Tolone