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Part of 1949 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1949_6

Source:

n

k

be positive integers,

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

number theorygreatest common divisornumber theory proposed