Title The magic squares of Benjamin Franklin; the first of a series of four papers describing the technique of Leonhard Euler applied to the Lahireian method of forming magic squares of all sizes, under the general title The intrinsic harmony of number, by Clarence C. Marder; also the simple method of raising any 8 x 8 square to the 16 x 16 size with the aid of an auxiliary square preserving all the qualities of the original. Three entirely new methods of producing the bent diagonals of Benjamin Franklin.