71 (number)
71 (seventy-one) is the natural number following 70 and preceding 72.
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Look up seventy-one in Wiktionary, the free dictionary. |
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| Cardinal | seventy-one | |||
| Ordinal | 71st (seventy-first) | |||
| Factorization | prime | |||
| Prime | 20th | |||
| Divisors | 1, 71 | |||
| Greek numeral | ΟΑ´ | |||
| Roman numeral | LXXI | |||
| Binary | 10001112 | |||
| Ternary | 21223 | |||
| Octal | 1078 | |||
| Duodecimal | 5B12 | |||
| Hexadecimal | 4716 | |||
'71 (1971) is also the year the country Bangladesh gained its freedom from Pakistan. The LIBERATION WAR started at night of 25th March 1971 and ended on 16th December 1971.
In mathematics
71 is:
- the 20th prime number. The next is 73, with which it composes a twin prime.
- a permutable prime with 17.
- is the largest number which occurs as a prime factor of an order of a sporadic simple group.
- the sum of three consecutive primes: 19, 23 and 29.
- a centered heptagonal number.[1]
- an Eisenstein prime with no imaginary part and real part of the form 3n – 1.
- a Pillai prime, since 9! + 1 is divisible by 71 but 71 is not one more than a multiple of 9.[2]
- the largest (15th) supersingular prime, which is also a Chen prime.[3]
- part of the last known pair (71, 7) of Brown numbers, since 712 = 7! + 1.
- the twenty-third term of the Euclid–Mullin sequence, as it is the least prime factor of one more than the product of the first twenty-two terms.[4]
- the smallest positive integer d such that the imaginary quadratic field Q(√–d) has class number = 7.[5]
- the algebraic degree of Conway's constant, a remarkable number arising in the study of look-and-say sequences.
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
In other fields
Seventy-one is also:
- The number of different characters that can be used with a standard English keyboard, excluding uppercase letters
- 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 "La Bruja del 71" (Spanish: "The Witch from Number 71")
- Lockheed SR-71 Blackbird long-range, Mach 3 strategic reconnaissance aircraft
- 71 Fragments of a Chronology of Chance, a film by Michael Haneke
- 71: Into the Fire, South Korean film about the Korean War
- The form number for the United States Office of Personnel Management for requesting a leave of absence
- The Irish Rail 071 Class diesel locomotive
- In the Jason Bourne novels by American author Robert Ludlum the department within the CIA which made Bourne and the other super agents is called Treadstone Seventy-One.
- SR-71, an American alternative rock band
- The number of the laps of the Austrian Grand Prix, Mexican Grand Prix, and Brazilian Grand Prix
References
- "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- "Sloane's A002267 : The 15 supersingular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- "Sloane's A000945 : Euclid-Mullin sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- "Tables of imaginary quadratic fields with small class number". numbertheory.org.
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