Archimedes managed to make counting cattle unpleasant enough that mathematicians were still talking about it more than two thousand years later. An old NYU mathematics page preserves the statement of the Cattle Problem in exactly the kind of university-hosted Web format that deserves to survive.
Read Archimedes’ Cattle Problem at NYU
The setup sounds almost harmless. The problem describes cattle belonging to the sun god, divided by color and sex, and gives relationships between the sizes of the groups. In mathematical form, those relationships become simultaneous Diophantine equations: equations whose solutions must be integers.
Then Archimedes makes things worse.
Additional conditions involving square and triangular numbers transform the exercise from a system that can be handled algebraically into a famously difficult number problem with an enormous smallest solution. The pastoral language is camouflage. Underneath the cows is serious number theory.
The NYU page is interesting partly because of the mathematics and partly because of how little ceremony it needs. University Web servers once accumulated thousands of pages like this: lecture notes, demonstrations, source texts, problem statements, datasets, and small research tools placed online because a faculty member or department thought somebody might need them.
They were not always designed as “content.” They were closer to shelves.
That model was extraordinarily useful. A search could land directly on the statement of a centuries-old mathematical problem without requiring an account, a viewer application, a learning platform, or a twelve-step navigation path through an institutional homepage. The URL itself points into an Archimedes directory. You are looking at the organizational habits of an earlier academic Web as well as the mathematics.
For a modern reader, the page is a useful starting point because it preserves the original shape of the challenge. You can see how an ancient word problem becomes a set of integer constraints and why the problem’s reputation is not based on merely having a lot of cattle to count.
Old university pages are fragile because they often survive outside whatever system the institution currently considers official. That makes finding and documenting them worthwhile while they are still there.
Open the Cattle Problem statement
Archimedes did not have a Web browser. He did, however, leave future computers something substantial to chew on.