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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 345*216^5595+1 is prime. Note that 216 = 3^3 + 4^3 + 5^3 = 6^3; the smallest cube that is also the sum of three cubes, while 5595 has three distinct palindromic factors. [Earls]
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