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(just those submitted by Caldwell)
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+ The only prime member of a Ruth-Aaron pair. [Caldwell]

+ The sum of the reciprocals of the primes is infinite, but the sum of the reciprocals of the known primes is less than 5 and will always be so! [Caldwell]

+ Every positive integer can be written as x2+2y2+7z2+11w2, except for 5. [Halmos1938] [Caldwell]

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