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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest 4digit prime p such that the differences between the five consecutive primes starting with p are (2,4,6,2). [Russo] The smallest prime formed by concatenating n double Mersenne primes (7, 127). Note that 7127 is also a prime. [Loungrides] (1277, 1279) is the first case of a twin prime pair (p, p+2) such that 2^p and 2^(p+2) are both "apocalyptic numbers". [Loungrides] The smallest prime number whose sum of digits equals the sum of digits of its digital product. [Gaydos]
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