- #1
elimqiu
- 11
- 0
Show that if [itex]a,b\in\mathbb{N}^+,\ \gcd(a,b) = 1[/itex] and [itex]p[/itex] is an odd prime,
then [itex]\gcd\left(a+b,\frac{a^p+b^p}{a+b}\right)\in \{1,p\}[/itex]
then [itex]\gcd\left(a+b,\frac{a^p+b^p}{a+b}\right)\in \{1,p\}[/itex]