Shaping Up
Clark wondered how many different shapes he could draw with identical squares joined edge to edge and each shape containing the same number of squares. He only drew five different shapes containing four squares, for example, because he ignored rotations and reflections (see diagram, above). He drew all of the different shapes containing 1, 2, 3, 4, 5 and 6 squares and wrote down the total number of different shapes in each case. He took the six totals in some order, without reordering the digits within any total, and placed them end to end to form a sequence of digits which could also be formed by placing six prime numbers end to end.
In ascending order, what were the six prime