olymmath

Putnam 2005 B2

  • Session B

Find all positive integers n,k1,…,knn, k_1, \dots, k_n such that k1+⋯+kn=5n−4k_1 + \cdots + k_n = 5n-4 and 1k1+⋯+1kn=1.\frac{1}{k_1} + \cdots + \frac{1}{k_n} = 1.

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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