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41 (number)

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← 40 41 42 →
Cardinalforty-one
Ordinalst
Factorizationprime
Divisors1, 41
Greek numeralΜΑ´
Roman numeralXLI
Binary1010012
Ternary11123
Senary1056
Octal518
Duodecimal3512
Hexadecimal2916

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

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 . 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.

In science

In astronomy

In music

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.

In film

In sports

In religion

In other fields

References

  1. ^ Boyd, M. J. "The African American Presence and the Resolution of Race in The Matrix Trilogy." Black Renaissance. 3 (2004): 134
  2. ^ http://www.telegraph.co.uk/news/5050286/Roger-Bannister-makes-history---but-whos-the-guy-on-the-mobile-phone.html

Historical years

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