olymmath

Putnam 2001 A5

  • Session A

Prove that there are unique positive integers aa, nn such that an+1−(a+1)n=2001a^{n+1}-(a+1)^n=2001.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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