Is there a formula to find every number divisible by $7$ but not $2,3$,or $5$? Not counting numbers but looking for specific solutions.
29874
Not divisible by $2,3$ or $5$ but divisible by $7$
128220
How many five-digit numbers can be formed using digits $0, 1, 2, 6, 7, 8,9$ which are divisible by $3$ and $5$?
23818
Divisibility Rules for Bases other than $10$
32641
Is there a formula to calculate the sum of all proper divisors of a number?
71625
Divisibility question
147470
Divisibility of Consecutive Powers of 10
134921
Find the number of all subsets of $\{1, 2, \ldots,2015\}$ with $n$ elements such that the sum of the elements in the subset is divisible by 5
126816
Question of remainder on dividing by 7
24053
How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?
132175
How many $5$-digit numbers with distinct digits are divisible by 3 (and generalize)
156376
Find the values of $n$ that make the fraction $\frac{2n^{7}+1}{3n^{3}+2}$ reducible.
108919
Numbers till 400 divisible by 2, 3, 5, 7
138271
Find the least number which when divided by 2, 3, 4, 5, 6 leaves a remainder of 1 but it is divided by 7 completely.
7473
How am I supposed to tell if a number is divisible by $13$ (I need a shortcut)?
103784
Show that $n^2+11n+2$ is not divisible by $113^2$ ( n is integer)
131704
A dollar amount $\${-}67.9{-}$ is divisible by 72. What is this number?
107725
Prove that if $n$ is not divisible by $5$, then $n^4 \equiv 1 \pmod{5}$