Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2015-part-05 — 191 problems (EN–VI) Question 55

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 55

a) Show that the equation $p + x + y + z = xyz$ has positive integer solutions for every positive prime $p$.

b) Find the positive integer solutions of the equation $3 + x + y + z = xyz$.