3

Part of 1973 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1973_3

Source:

Find a constant

c > 1

with the property that, for arbitrary positive integers

n

k

n>c^k

, the number of distinct prime factors of

\binom{n}{k}

k

logarithmsfloor functionnumber theoryprime numbersnumber theory proposed