For each positive integer n let p(n) be the number of ordered pairs (x,y) of positive integers such thatx1+y1=n1.For example, for n=2 the pairs are (3,6),(4,4),(6,3). Therefore p(2)=3.
a) Determine p(n) for all n and calculate p(1995).
b) Determine all pairs n such that p(n)=3. number theoryDiophantine equationdiophantine