MathDB

96

Part of PEN A Problems

Problems(1)

A 96

Source:

5/25/2007
Find all positive integers nn that have exactly 1616 positive integral divisors d1,d2⋯ ,d16d_{1},d_{2} \cdots, d_{16} such that 1=d1<d2<⋯<d16=n1=d_{1}<d_{2}<\cdots<d_{16}=n, d6=18d_6=18, and d9−d8=17d_{9}-d_{8}=17.
integrationmodular arithmeticnumber theoryrelatively primeDivisibility Theorypen