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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) (x; 4k+3) is greater than or equal to (x; 4k+1) for all primes x < 26833. "Chebyshev's bias" is the phenomenon that most of the time, there are more primes of the form 4k+3 than of the form 4k+1, up to the same limit.
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