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The smallest composite number whose digits are composite such that the concatenated factors of either digit with the remaining digit(s) is prime. [Rivera] The first 49 digits after the decimal point in e = 2.718... form a prime. [Honaker] The largest prime square which is greater than the product of all lesser primes. [Murthy] The smallest semiprime whose sum of divisors is also a semiprime. [Gupta] phi(49)*49^49 + 1 is prime. The reversal of 49 has the same property. [Firoozbakht] The smallest square that is the sum of three consecutive primes. [Silva] The smallest prime square that is the sum of consecutive composite numbers in three ways, i.e., 24+25 = 15+16+18 = 4+6+8+9+10+12 = 7^2. [Loungrides]
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