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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 sum of the predecessor and successor primes is divisible by 29. [Russo] The smallest 4digit prime such that, if its digits are ABCD, AB+CD, and A+B+C+D, they are also each prime. [Opao] The smallest emirp whose additive and multiplicative persistences both equal its prime digital root. [Beedassy] The smallest emirp having an emirp prime index p with reversal q such that qth prime is also an emirp. [Beedassy] Only nontitanic emirp, that is the product of a repunit number and all its truncations minus four, i.e., 111*11*14. [Gupta]
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