31. Lagrange's four-square theorem states that every positive integer can be written as the sum of at most four square numbers . 32. Square numbers are non-negative.33. Offsetting the larger and adding, we arrive at 1, 1 + 3, 3 + 6 \ dots, the square numbers . 34. However, unlike the triangular and square numbers , the patterns involved in the construction of nonagonal numbers are not rotationally symmetrical. 35. Explain what square numbers are, and get them to colour in all the square numbers ( on the main diagonal ). 36. If each column is also an " n " digit square number then call this a " square of squares ". 37. Mathematician Matt Parker attempted to create a 3x3 magic square using square numbers in a YouTube video on the Numberphile channel. 38. The most common use in this sense is an odd integer especially when seen as a figurate number between square numbers . 39. Each of them is made by multiplying a squarefree number, by a square number that is " N " or less. 40. Explain what square numbers are, and get them to colour in all the square numbers ( on the main diagonal ).
