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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) A prime equal to the concatenation of the four singledigit primes plus their sum: 7532 + (7+5+3+2). [Silva] The largest known prime such that p  x^{2} is composite for x = 1...sqrt(p). [Crespi de Valldaura] Probably the largest prime not of the form p + k^2, with p prime and k > 0. [Russo]
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