41 (number)

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← 40 41 42 →
← 40 41 42 43 44 45 46 47 48 49 →
List of numbers — Integers
← 0 10 20 30 40 50 60 70 80 90 →
Cardinalforty-one
Ordinal41st
(forty-first)
Factorizationprime
Prime13th
Divisors1, 41
Greek numeralΜΑ´
Roman numeralXLI
Binary1010012
Ternary11123
Octal518
Duodecimal3512
Hexadecimal2916

41 (forty-one, XLI) is the natural number following 40 and preceding 42.

In mathematics[]

  • the 13th smallest prime number. The next is 43, making both twin primes.
  • the sum of the first six prime numbers (2 + 3 + 5 + 7 + 11 + 13).
  • the 12th supersingular prime[1]
  • a Newman–Shanks–Williams prime.[2]
  • the smallest Sophie Germain prime to start a Cunningham chain of the first kind of three terms, {41, 83, 167}.
  • an Eisenstein prime, with no imaginary part and real part of the form 3n − 1.
  • a Proth prime as it is 5 × 23 + 1.[3]
  • the largest lucky number of Euler: the polynomial f(k) = k2 − k + 41 yields primes for all the integers k with 1 ≤ k < 41.
  • the sum of two squares, 42 + 52.
  • the sum of the sum of the divisors of the first 7 positive integers.
  • the smallest integer whose reciprocal has a 5-digit repetend. That is a consequence of the fact that 41 is a factor of 99999.
  • the smallest integer whose square root has a continued fraction with period 3.[4]
  • a centered square number.[5]

In science[]

  • The atomic number of niobium.

In 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.

In music[]

  • "#41", a song by Dave Matthews Band.[6]
  • "American Skin (41 Shots)" is a song by Bruce Springsteen about an immigrant murder victim who was shot at 41 times by the NYPD.[7]

In film[]

  • The name of an independent documentary about Nicholas O'Neill, the youngest victim of the Station nightclub fire.[8]
  • 2012 documentary on the life of the 41st President of the United States George H. W. Bush.[9]

In other fields[]

  • The international direct dialing (IDD) code for Switzerland.[10]
  • Bush 41, George H. W. Bush, the 41st President of the United States.[11]
  • In Mexico "cuarenta y uno" (41) is slang referring to a homosexual. This is due to the 1901 arrest of 41 homosexuals at a hotel in Mexico City during the government of Porfirio Díaz (1876–1911). See: Dance of the Forty-One[12][13]
  • Number of ballistic missile submarines of the George Washington class and its successors, collectively known as the "41 for Freedom".
  • The 41st season of CBS's reality program Survivor is simply subtitled Survivor 41.[14]

See also[]

References[]

  1. ^ "Sloane's A002267 : The 15 supersingular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ "Sloane's A088165 : NSW primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. ^ "Sloane's A013646: Least m such that continued fraction for sqrt(m) has period n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-03-18.
  5. ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. ^ #41 - Dave Matthews Band | Song Info | AllMusic, retrieved 2020-08-10
  7. ^ American Skin (41 Shots) - Mary J. Blige | Songs, Reviews, Credits | AllMusic, retrieved 2020-08-10
  8. ^ 41 (2007) - Christian O'Neill, Christian de Rezendes | Synopsis, Characteristics, Moods, Themes and Related | AllMovie, retrieved 2020-08-10
  9. ^ "41 (II)". IMDb. Retrieved June 16, 2013.
  10. ^ "Archived copy". Archived from the original on 2010-07-15. Retrieved 2009-05-05.CS1 maint: archived copy as title (link)
  11. ^ Kellogg, William O. (2010). Barron's AP United States History (9th ed.). Barron's Educational Series. p. 364. ISBN 9780764141843. George H. W. Bush (Republican) [Bush 41—i.e., the first President Bush, George H. W. Bush was the forty-first President of the United States, and so some have referred to him in this way since the election of his son, George W. Bush or Bush 43—the forty-third president of the United States.]
  12. ^ "Reference 1". Archived from the original on 2008-05-31. Retrieved 2008-06-13.
  13. ^ "Reference 2". Archived from the original on 2007-11-30. Retrieved 2008-06-13.
  14. ^ Wolfe, John (2020-07-17). "CBS Scratches 'Survivor' Season 41 Off Of Fall Schedule, Jeff Probst Dishes". Showbiz Cheat Sheet. Retrieved 2020-11-13.
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