Cube (algebra) however, easy to show that most numbers are not perfect cubes because "all" perfect cubes must have digital root 1, 8 or 9. That is their values modulo 9 may be only −1, 1 and 0. Moreover, the digital root of any number's cube can be determined by the remainder the number gives when divided by 3: Every positive integer can be written as the sum of nine (or fewer) positive cubes. This upper limit of nine cubes cannot be reduced because, for example, 23 cannot be written as the sum of fewer than nine positive cubes: The equation has
Minuscule 729 (Gregory-Aland) Minuscule 729 (Gregory-Aland) Minuscule 729 (in the Gregory-Aland numbering), Θ (von Soden), is a Greek minuscule manuscript of the New Testament written on parchment. Palaeographically it has been assigned to the 13th century. The manuscript has complex contents. Scrivener labelled it as 747. The codex contains a complete text of the four Gospels on 341 parchment leaves (size ). The text is written in two columns per page, 37-47 lines per page. The text is divided according to the ("chapters"), with their ("titles of chapters") at the top of the pages. There is no another division according to the smaller