2 problems

Let $n= p_1^{k_1}p_2^{k_2}\dots p_m^{k_m}>5040$, where the $p_i$ are distinct primes and the $k_i$ are positive integers. For an index $j$, form the integer…

Let $p_1,p_2,\ldots,p_m$ be the first $m$ distinct primes, and let $n=\prod_{j=1}^{m}p_j>5040$. Robin's inequality is the assertion that $\sigma(n)/n<e^\gamma\log\log n$, where…