A379167 Table read by row, where T(n,k), n>0 and k>0, represents the smallest n-digit number that is the product of k distinct primes and is sandwiched between semiprime numbers, or -1 if no such number exists.
5, -1, 34, -1, 122, 186, 870, -1, 1042, 1146, 1190, 5610, -1, 10118, 10002, 10030, 10230, 39270, -1, 100462, 100158, 100030, 100122, 110670, 881790, -1, 1000478, 1000022, 1000010, 1000758, 1001130, 1009470, -1, 10000202, 10000258, 10000002, 10000218, 10001670, 10010910, 15825810
Offset: 1
Examples
Smallest n-digit numbers m product of k distinct primes sandwiched between two semiprimes m-1 and m+1: n k m-1, m, m+1 1 1 4 = 2^2, 5 = 5, 6 = 2 * 3; 2 2 33 = 3 * 11, 34 = 2 * 17, 35 = 5 * 7; 3 3 185 = 5 * 37, 186 = 2 * 3 * 31, 187 = 11 * 17; Table read by rows: 5; -1, 34; -1, 122, 186, 870; -1, 1042, 1146, 1190, 5610; -1, 10118, 10002, 10030, 10230, 39270; -1, 100462, 100158, 100030, 100122, 110670, 881790; -1, 1000478, 1000022, 1000010, 1000758, 1001130, 1009470; -1, 10000202, 10000258, 10000002, 10000218, 10001670, 10010910, 15825810; ...