MathDB
Miklos Schweitzer 1949_6

Source:

October 2, 2008
number theorygreatest common divisornumber theory proposed

Problem Statement

Let n n and k k be positive integers, n≥k n\geq k. Prove that the greatest common divisor of the numbers \binom{n}{k},\binom{n\plus{}1}{k},\ldots,\binom{n\plus{}k}{k} is 1 1.
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