41 (number)
(Redirected from XLI)
| ||||
|---|---|---|---|---|
| Cardinal | forty-one | |||
| Ordinal | 41st (forty-first) | |||
| Factorization | prime | |||
| Prime | 13th | |||
| Divisors | 1, 41 | |||
| Greek numeral | ΜΑ´ | |||
| Roman numeral | XLI | |||
| Binary | 1010012 | |||
| Ternary | 11123 | |||
| Senary | 1056 | |||
| Octal | 518 | |||
| Duodecimal | 3512 | |||
| Hexadecimal | 2916 | |||
41 (forty-one) is the natural number following 40 and preceding 42.
Look up forty-one in Wiktionary, the free dictionary.
In mathematics
[edit]41 is:
- 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), which makes it a centered square number.[4]
- the sum of the first three Mersenne primes, 3, 7, 31.[5]
- 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 simple continued fraction with period 3.[6]
- a prime index prime, as 13 is prime.
In science
[edit]- The atomic number of niobium.
In astronomy
[edit]- 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
[edit]- "#41", a song by Dave Matthews Band.[7]
- "American Skin (41 Shots)" is a song by Bruce Springsteen about an immigrant murder victim who was shot at 41 times by the NYPD.[8]
In film
[edit]- The name of an independent documentary about Nicholas O'Neill, the youngest victim of the Station nightclub fire.[9]
- 2012 documentary on the life of the 41st President of the United States George H. W. Bush.[10]
In other fields
[edit]- The international direct dialing (IDD) code for Switzerland.[11]
- Bush 41, George H. W. Bush, the 41st President of the United States.[12]
- 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[13][14]
- 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.[15]
- Jack Atherton Physics score that made David Unemployed very proud
See also
[edit]References
[edit]- ^ "Sloane's A002267 : The 15 supersingular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ "Sloane's A088165 : NSW primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ Sloane, N. J. A. (ed.). "Sequence A001844 (Centered square numbers: a(n) is 2*n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z equal to Y+1) ordered by increasing Z; then sequence gives Z values.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-02-09.
- ^ Sloane, N. J. A. (ed.). "Sequence A000668 (Mersenne primes (primes of the form 2^n - 1).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-02-09.
- ^ "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.
- ^ #41 - Dave Matthews Band | Song Info | AllMusic, retrieved 2020-08-10
- ^ American Skin (41 Shots) - Mary J. Blige | Songs, Reviews, Credits | AllMusic, retrieved 2020-08-10
- ^ 41 (2007) - Christian O'Neill, Christian de Rezendes | Synopsis, Characteristics, Moods, Themes and Related | AllMovie, retrieved 2020-08-10
- ^ "OFCOM - Number blocks and codes". Archived from the original on 2010-07-15. Retrieved 2009-05-05.
- ^ 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.]
- ^ "Reference 1". Archived from the original on 2008-05-31. Retrieved 2008-06-13.
- ^ "Reference 2". Archived from the original on 2007-11-30. Retrieved 2008-06-13.
- ^ Wolfe, John (2020-07-17). "CBS Scratches 'Survivor' Season 41 Off Of Fall Schedule, Jeff Probst Dishes". Showbiz Cheat Sheet. Retrieved 2020-11-13.