41 (number)
From Wikipedia, the free encyclopedia
41 (forty-one) is the natural number following 40 and preceding 42.
| Cardinal | 41 forty-one |
| Ordinal | 41st forty-first |
| Factorization | prime |
| Divisors | 1, 41 |
| Roman numeral | XLI |
| Binary | 101001 |
| Hexadecimal | 29 |
Contents |
[edit] In mathematics
Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime. Forty-one is also a Sophie Germain prime and a Newman-Shanks-Williams prime. 41 is the smallest Sophie Germain prime to start a Cunningham chain of the first kind of three terms, {41, 83, 167}. It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1.
The number figures in the polynomial f(n) = n2 + n + 41, which yields primes for 0 ≤ n < 40.
Forty-one is the sum of two squares, 42 + 52, as well as the sum of the first six prime numbers, and also the sum of three primes (11 + 13 + 17). Adding up the sums of divisors for 1 through 7 yields 41.
It is a centered square number.
[edit] In science
- The atomic number of niobium.
[edit] Astronomy
- Messier object M41, a magnitude 5.0 open cluster in the constellation Canis Major
- The New General Catalogue object NGC 41, a spiral galaxy in the constellation Pegasus
- The Saros number of the solar eclipse series which began on -1588 May 28 and ended on -308 July 5. The duration of Saros series 41 was 1280.1 years, and it contained 72 solar eclipses.
- The Saros number of the lunar eclipse series which began on -1268 March 18 and ended on 30 May 6. The duration of Saros series 41 was 1298.1 years, and it contained 73 lunar eclipses.
[edit] In music
- The number 41 is "encoded" in much of the music of Johann Sebastian Bach. Bach may have considered this number a sort of signature, since given A = 1, B = 2, C = 3, etc., then B + A + C + H = 14 and J + S + B + A + C + H = 41.
- the number of the last symphony of Wolfgang Amadeus Mozart (note: '37' is not in the canon)
- #41 is a song by Dave Matthews Band
- The band Sum 41
[edit] In sports
- The retired number of the back of the uniform worn by Hall of Famers Eddie Mathews of the Braves and Tom Seaver of the Mets
[edit] In other fields
Forty-one is also:
- the model number of the HP-41C/CV/CX
- the international direct dialling (IDD) code for Switzerland.
- Charlton Heston's designation as a galley slave in the film Ben-Hur.
- C-41 process is the film developing process for 35mm color negative film.
- The code number given to Tetsuo Shima by scientists in the manga and 1988 film Akira
- The number that appears on Trini Alvarado's forehead in Peter Jackson's The Frighteners
- Jonathan Pryce's destination level for his apartment in Terry Gilliam's Brazil
- Billy Cole's jersey number in the Tony Scott film The Last Boy Scout
- George W. Bush's nickname for his father, George H. W. Bush, the 41st President of the United States.
- Montana is the 41st state of the union.
- 41 shots were fired into Amadou Dialou, an African immigrant and victim of racial profiling in New York City.
