Consecutive numbers are ones that follow on from each other in order, like 2, 3, 4 and 5. We can create certain numbers by adding together runs of consecutive numbers, e.g. 1 + 2 + 3 = 6 or 14 + 15 = ...

All of these puzzles relate to adding together consecutive numbers. Mathematicians do not like doing a lot of, tedious adding up, and so are always on the lookout for cunning shortcuts. It might help ...

A long-standing puzzle seems to constrain how addition and multiplication relate to each other. A graduate student has gone further than anyone else in establishing the connection. In 1983 the ...