Thursday, July 1, 2010

683

683 is a prime number. It is a Sophie Germain prime because 2 x 683 + 1 is also a prime number.

683 is also a Wagstaff prime because it has the form (2q + 1)/3, where q is another prime, 11.

683 is a divisor of 411 - 1.

683 is 838 in base 9.
The submarine USS Parche (SSN-683) was named for a small, coral-reef butterflyfish.

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Anonymous said...

683=3^2+7^2+25^2=13^2+15^2+17^2
683^2=233245^2-233244^2
683 se puede representar como (2^(2n+1)+1)/3, para n=5. Es un repunit que se genera en base a b, a partir de la forma (b^n-1)/(b-1), para b=-11 (A007583) Ver Mathwold.Wolfram.com/Repunit.
Rafael Parra de Barcelona

July 3, 2010 at 6:04 AM

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