_{1}p

_{2}p

_{3}p

_{4}, where p

_{1}, p

_{2}, p

_{3}, p

_{4}are distinct primes, let

d

_{1}= 1 < d

_{2}< d

_{3}< ... < d

_{15}< d

_{16}= n

be the sixteen positive integers that divide n.

Prove that if n < 1995, then d

_{9}- d

_{8}≠ 22.

[IrMO 1995 Paper 2 Question 5]

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