n = 12 with

p = 3, q = 3

p = 3, q = 4

p = 3, q = 5

p = 4, q = 3

p = 5, q = 3

n = 17 with

p = 3, q = 3

p = 3, q = 4

p = 3, q = 5

p = 4, q = 3

p = 5, q = 3