1+1/2+1/3+...+1/n is NVER an integer when n is bigger than 1
If n is greater than 1, then 1+1/2+1/3+...+1/n, namely the nth harmonic number, is NOT an integer. Crazy result since 1+1/2+1/3+... diverges to infinity, but it doesn't hit any integer besides 1.
Thanks to the hint in the James Stewart calculus textbook! : )
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