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24137 (another Prime Pages' Curiosity) |
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The prime that needed the larger R for satisfying de Legendre's formula for the number of primes less than or equal to x;  (x) = x/(ln(x) - r). I.e., 24137 is the 2688th prime and that value is produced by the formula when r = 1.111963. No other prime needs so large an r for producing the true value of (x) when any x is given. [Dusart]
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