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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Just showing those entries submitted by 'Capelle': (Click here to show all) The smallest prime of the form 2^{p}  p. [Capelle]There is no prime between n! + 2 and n! + n. [Capelle] (n) is greater than or equal to (n/2)3/2 for each natural number n. Note that 2 and 3 are the first prime numbers. [Capelle] If p and q are consecutive prime numbers, then floor(p/q + q/p) = 2. Note that lim(p/q + q/p) = 2, as p and q approach infinity. [Capelle] (2^{}) = (^{2}). [Capelle]
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