Talk:Twin primes: Difference between revisions

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→‎Brun's Theorem Extention?: corrected two misspellings.
m (Thundergnat moved page Talk:Twin Prime Conjecture to Talk:Twin primes)
m (→‎Brun's Theorem Extention?: corrected two misspellings.)
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== Brun's Theorem Extention? ==
 
Even though the task currently isn't testing the conjecture, it prompted me to read about the it on the Wikipedia.
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I see that that Viggo Brun proved that the sum of the reciprocolsreciprocals of the twin primes converges as the twin primes approach infinity.
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Testing this lead to the discovery of the division bug in the early Pentium chips by Thomas Nicely (according the Wikipedia page on Brun's Theorem).
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It would be simple to add calculating the sum of the reciprocolsreciprocals of the twin primes. The sum is thought to approximate 1.902.... Apparently convergence is *very* slow. I didn't get very close to that with twins up to 10 000 000.<br>
NB: 5 is the only prime in two twin pairs.
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