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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) n^{6} + 1091 is composite for all values of n from 1 to 3905. [Shanks] The smallest Honaker emirp. Note that its next Honaker prime (1301) is also an emirp and the concatenation of these two emirps (13011091) is prime as well. [Loungrides] The first occurrence of a sexy quadruplet (p, p + 6, p + 12, p + 18) of consecutive emirps: (1091, 1097, 1103, 1109). Note that the end terms are consecutive invertible primes whose digits are mere cyclic permutations of each other. [Beedassy] The only known invertible emirp of form (x^3+y^3+z^3)/(x+y+z), where x, y, z are consecutive numbers (case x=32), i.e., 1091=(32^3+33^3+34^3)/(32+33+34). [Loungrides] The smaller prime (emirp) in the first pair of invertible primes, (1091, 1601), whose concatenation, i.e., 10911601, is a strobogrammatic prime. [Loungrides] The smallest Honaker bemirp. [Hensley] The smallest Honaker prime that falls between two happy numbers. [Gaydos] The smallest prime number whose square (1190281) is an anagram of the prime and its prime index (182). [Gaydos] The smallest Honaker prime that becomes a Sophie Germain prime when turned upside down. [Jha]
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