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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The least power of 2 to have 6 consecutive digits "6" in its decimal representation is 2^2269. [Hasler] The norm of the 3rd EisensteinMersenne prime, and the least prime (of the form p=7k+1) which divides Fibonacci((p1)/7). [Hasler] Smallest odd (or multidigit) prime in decimal expansion of 2/log(1+sqrt(2)). It is important in physics as the critical temperature for twodimensional Ising model. [Post] The smallest prime number for which the sum of the squares of its digits is a cube and the sum of the cubes of its digits is a square. [Gaydos]
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