- #1

- 18

- 0

## Homework Statement

(2) P is a prime number and a and b are positive integers .

We Know...

p | a^6 \

and

p | a^3 + b^7.

how do i find out how to prove that p | b?

## Homework Equations

if a | b, then a | bx for every x in Z

if a | b, and a | c, then a | bx + cy for any x,y in Z.

## The Attempt at a Solution

p | (a^3)(a^3)

p | a^6(n) + (a^3 + b^7)m for any m,n in Z.

I can't figure anything out about b :(