Let p be an odd prime number. Prove that the numerator of 1+1/2+1/3+...+1/(p-1) (when expressed as a single fraction with denominator (p-1)!) is divisible by p.
Let p be an odd prime number. Prove that the numerator of 1+1/2+1/3+...+1/(p-1) (when expressed as a single fraction with denominator (p-1)!) is divisible by p.