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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The larger of the only two primes resulting from concatenation of two two-digit primes, each of them formed from two consecutive digits. [Silva]

+ The least prime p such that for all 2^k < p the numbers p + 2^k, p - 2^k, p*2^k + 1, and p*2^k - 1 are composite. [Wesolowski]

+ The largest distinct-digit prime, concatenated from two double-digit primes, such that, ╬▒lternating the 2nd and 4th digits we create another prime, also concatenated from two double-digit primes, i.e., 8329. Note that there is only another such case, i.e., (3761, 3167). [Loungrides]




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