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41 (number)

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

Cardinal 41
forty-one
Ordinal 41st
forty-first
Factorizationprime
Roman numeralXLI
Binary101001
Hexadecimal29

In mathematics

Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime. Forty-one is also 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, . It is an Eisenstein prime with no imaginary part and real part of the form [3n - 1].

The number figures in the polynomial f(n) = n2 + n + 41, which yields primes for 0 ≤ n < 40.

Forty-one is the sum of two squares, 42 + 52, as well as the sum of the first six prime numbers, and also the sum of three primes (11 + 13 + 17). Adding up the sums of divisors for 1 through 7 yields 41.

It is a centered square number.

In science

Astronomy

In sports

In other fields

Forty-one is also:

 


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