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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) This emirp with distinct digits is the largest prime factor of 25328, the number of emirps with distinct digits. [Capelle] The smallest prime that is the sum of 3^3 consecutive primes: 1583 = 7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83+89+97+101+103+107+109+113. [Noll] 1^1+5^5+8^8+3^3 is another emirp. [Silva] The smallest emirp that is the sum of first n nontrivial (multidigit) palindromes (11+22+33+...+161+171=1583). [Bajpai] The smallest Sophie Germain prime p such that the digitsum(p); the digitsum(p^2); the digitsum(p^3); all are prime. [Bajpai]
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