SEXAGESIMAL DIVISION

MS 2317
MS Short Title SEXAGESIMAL DIVISION
Text SEXAGESIMAL DIVISION SUM WITH A NON-REGULAR DIVISOR, 1 01 01 01 DIVIDED WITH 13 IS 4 41 3
Description

MS on clay, probably Larsa, Babylonia, 19th c. BC, 1 tablet, 2,9x2,9x1,4 cm, single column, 2 lines in cuneiform script.

Commentary The meaning of the text is that the first number, 1 01 01 01 in sexagesimal place value notation, is exactly divisible by 13, and that the quotient is 4 41 37. A dressed up version is known from an early Old Babylonian tablet from Ur, where 1 01 01 01 sheep are divided between 13 shepherds.
Published Jöran Friberg: Matematiska kilskriftstexter i den norska Schøyensamlingen; in: Nordisk Matematisk Tidskrift, 52:4, 2004, p. 148. Jöran Friberg: A remarkable Collection of Babylonian Mathematical Texts. Springer 2007. Sources and Studies in the History of Mathematics and Physical Sciences. Manuscripts in the Schøyen Collection, vol. 6, Cuneiform Texts I. p. 155.
Place of origin Babylonia
Dates ca 19c BC

Location