41 (number)

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41
Cardinal forty-one
Ordinal 41st
(forty-first)
Factorization prime
Divisors 1, 41
Roman numeral XLI
Binary 1010012
Octal 518
Duodecimal 3512
Hexadecimal 2916

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

Contents

[edit] In mathematics

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.

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

It is a centered square number.

[edit] In science

[edit] In astronomy

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[edit] In literature

  • 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.

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[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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