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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest prime using all the prime digits that forms another prime when each digit d is repeated d times: 3335555522227777777. Note that both primes contain a prime number of digits. [Beedassy] The smallest prime with all the prime digits that forms with its reversal palindromic primes of the forms "primemirp" and "emirprime": 352272253 ; 722535227. Note that the reversal 72253 belongs to a "twimirp" pair (i.e., twin primes that are both emirps): (72251, 72253). [Beedassy] (35227, 35327, 35537) is the first case of three consecutive primedigit primes in the sequence of Honaker primes. Note that these are also emirps. [Loungrides] The smallest primedigit Honaker prime containing all the prime digits {2, 3, 5, 7} such that (a) replacing each digit by its square (9254449) and (b) replacing each digit by its cube (2712588343), prime is obtained in each case. [Bajpai]
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