Monday, January 5, 2009

Oxford Univ. math exam question

I came accross this little math problem in a new biography of Lewis Carroll. It was on a math final during the 1850's at Oxford University. I believe that any budding mathematician in the 9th grade should be able to figure it out.

Problem: Let m and n be arbitrary odd integers (m>n). Prove m^2 -n^2 is divisible by 8

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