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41 (forty-one) is the natural number following 40 and preceding 42.
[edit] In mathematicsForty-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
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