Question 57
Suppose that the positive integers $a$ and $b$ satisfy the equation
$$
a^{b}-b^{a}=1008 .
$$
Prove that $a$ and $b$ are congruent modulo 1008.
$$
a^{b}-b^{a}=1008 .
$$
Prove that $a$ and $b$ are congruent modulo 1008.
MathNet 2008-part-01 — 165 problems (EN–VI) Question 57
Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)