Let $p$ be a sufficiently large prime. Suppose $(p-1)^p$ has prime factorisation $\prod\limits^n_{i=1} p_i^{e_i}$.
Prove that $\sum p_ie_i \geqslant \frac{p^2}{2}$
Inequality with Prime factorisation(TST problem)
- Fm Jakaria
- Posts:79
- Joined:Thu Feb 28, 2013 11:49 pm
You cannot say if I fail to recite-
the umpteenth digit of PI,
Whether I'll live - or
whether I may, drown in tub and die.
the umpteenth digit of PI,
Whether I'll live - or
whether I may, drown in tub and die.