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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
Look up forty-one in
Wiktionary, the free dictionary.

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

[edit] Astronomy

[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

[edit] In other fields

Forty-one is also:

[edit] References

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

[edit] Historical years

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

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