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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The start of the only known (as of 2008) gigantic case of 3 consecutive primes or prp's in arithmetic progression: 19067408*2^33333-12539 + 6270*n, for n = 0, 1, 2. Only the last term is proven prime. [Andersen and Davis]

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