descr=%{ Take the number 192 and multiply it by each of 1, 2, and 3: 192 × 1 = 192 192 × 2 = 384 192 × 3 = 576 By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3) The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5). What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n > 1? } $numbers=%q(123456789).split('').sort def is_pandigital(str) return str.split('').sort == $numbers end best=(123456789) (2..10).each do |n| concat_prod="" base=1 while concat_prod.length < 10 concat_prod="" (1..n).each do |i| concat_prod <<= (base*i).to_s end if is_pandigital(concat_prod) puts %{base=#{base} n=#{n} #{concat_prod}} if concat_prod.to_i > best best=concat_prod.to_i puts %{* base=#{base} n=#{n} #{best}} end end base += 1 end end