Question 74
If $n\gt 0$ is an integer, $d(n)$ is the number of strictly positive divisors of $n$.
a) Is there a strictly increasing $\left(a_{i}\right)_{i \geqslant 1}$ sequence of strictly positive integers such as, for any $i$ large enough, the number $a_{i}$ is Divisible by exactly $d(i)-1$ terms of the suite (including itself)?
b) Is there a strictly increasing $\left(a_{i}\right)_{i \geqslant 1}$ sequence of strictly positive integers such as, for any $i$ large enough, the number $a_{i}$ is Divisible by exactly $d(i)+1$ terms of the suite (including itself)?
a) Is there a strictly increasing $\left(a_{i}\right)_{i \geqslant 1}$ sequence of strictly positive integers such as, for any $i$ large enough, the number $a_{i}$ is Divisible by exactly $d(i)-1$ terms of the suite (including itself)?
b) Is there a strictly increasing $\left(a_{i}\right)_{i \geqslant 1}$ sequence of strictly positive integers such as, for any $i$ large enough, the number $a_{i}$ is Divisible by exactly $d(i)+1$ terms of the suite (including itself)?