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N=aabb, aab and abb are primes

Source: Austrian Polish 1989 APMC

April 30, 2020
primesnumber theoryDigits

Problem Statement

Find all natural numbers NN (in decimal system) with the following properties: (i) N=aabb‾N =\overline{aabb}, where aab‾\overline{aab} and abb‾\overline{abb} are primes, (ii) N=P1P2P3N = P_1P_2P_3, where Pk(k=1,2,3)P_k (k = 1,2,3) is a prime consisting of kk (decimal) digits.
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