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+ \left(\frac{1}{41} + \frac{1}{43}\right) + \cdots</math>
 
+ \left(\frac{1}{41} + \frac{1}{43}\right) + \cdots</math>
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[[Viggo Brun]] proved this convergence in 1919.  The convergence of this [[series_(mathematics)|series]] leaves it unclear whether there are an infinite number of twin primes, one of the great unsolved problems in [[mathematics]].  The scarcity of twin primes as they grow larger enables their reciprocal sum to converge.
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[[Viggo Brun]] proved this convergence in 1919.  The convergence of this [[series (mathematics)|series]] leaves it unclear whether there are an infinite number of twin primes, one of the great unsolved problems in [[mathematics]].  The scarcity of twin primes as they grow larger enables their reciprocal sum to converge.
    
[[Category:Number Theory]]
 
[[Category:Number Theory]]
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