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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) For x = 13533264289711320, the following values are all prime: 1, x1; 2, x+1; 3, x^2x+1; 4, x^2+1; 5, x^2+x+1; 6, x^4x^3+x^2x+1; 7, x^4+1; 8, x^4+x^3+x^2+x+1; 9, x^6+x^3+1; 10, x^6+x^5+x^4+x^3+x^2+x+1. This was discovered by Phil Carmody in 2002. [Dobb]
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