41 (number)

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40 41 42
Cardinal forty-one
Ordinal 41st
(forty-first)
Factorization prime
Divisors 1, 41
Roman numeral XLI
Binary 1010012
Ternary 11123
Quaternary 2214
Quinary 1315
Senary 1056
Octal 518
Duodecimal 3512
Hexadecimal 2916
Vigesimal 2120
Base 36 1536

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

In mathematics[edit]

Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime. It is also the sum of the first six prime numbers (2 + 3 + 5 + 7 + 11 + 13), and the sum of three primes (11 + 13 + 17).

Forty-one is also the 12th supersingular prime, 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) = n2 + n + 41, which yields primes for −40 ≤ n < 40. This is also called the lucky number of Euler Prime. It is the biggest of such primes.

Forty-one is the sum of two squares, 42 + 52. Adding up the sums of divisors for 1 through 7 yields 41.

41 is the smallest integer whose reciprocal has a 5-digit repetend. That is a consequence of the fact that 41 is a factor of 99999.

It is a centered square number.

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References[edit]

  1. ^ "41 (II)". IMDB. Retrieved June 16, 2013. 
  2. ^ Boyd, M. J. "The African American Presence and the Resolution of Race in The Matrix Trilogy." Black Renaissance. 3 (2004): 134
  3. ^ Telegraph.co.uk
  4. ^ [1]
  5. ^ 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.]" 
  6. ^ Reference 1
  7. ^ Reference 2
  8. ^ [2]