41 (NUMBER)

'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

In mathematics

In science

Astronomy

In music

In sports

In other fields

References

Historical years

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 $3n\; -\; 1$. 41 is a Proth prime as it is 5 × 2³ + 1.
The number figures in the polynomial ''f''(''n'') = ''n''² + ''n'' + 41, which yields primes for -40 ≤ 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.

In science

★ The atomic number of niobium.

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.

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

In sports

★ The retired number of the back of the uniform worn by Hall of Famers Tom Seaver of the New York Mets and by Eddie Mathews of the Atlanta Braves.

★ Worn by Dallas Mavericks Power Forward Dirk Nowitzki

★ The 41st Super Bowl, Super Bowl XLI.

★ Reed Sorenson's Nascar Nextel Cup number.

★ Worn by Ian Johnson: Running back from Boise State.

In other fields

'Forty-one' is also:

★ the model number of the HP-41C/CV/CX

★ a number frequently referred to in Arthur C. Clarke's series of books known as the Rama Cycle. Michael O'Toole's password for the Trinity operation is heavily encoded with the number 41. Also the virus that exists on New Eden is known as RV-41.

★ the international direct dialing (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''

★ 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 United States.

★ 41 shots were fired by four police officers when they killed Amadou Dialou, an African immigrant in New York City, causing a controversy over racial profiling.

★ In ''The Matrix'', Morpheus is aggressively questioned in the 41st floor of the government building, in reference to the murder of Diallo.^[1]

References

1. Boyd, M. J. "The African American Presence and the Resolution of Race in The Matrix Trilogy." ''Black Renaissance''. 3 (2004): 134

Historical years

'41 A.D.', 41 B.C., 1941, 2041, etc.