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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest positive odd integer k such that both k * 2n + 1 and k + 2n are composite for any positive integer n. A Colbert number is any megaprime whose discovery contributes to the long soughtafter proof that k = 78557 is the smallest Sierpinski number.
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