Every $n > 17$ is a non-negative integer combination of $4$ and $7$.
11359
Determine the Set of a Sum of Numbers
134352
The number of possible factorizations of a positive integer.
141371
Prove that $\alpha^n+\beta^n+\gamma^n \equiv 4^n+5^n+(-6)^n \pmod{17}$
87664
Combination of $n$ letter out of $3n$.
25258
Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.
48108
(Probability) How many integer solutions are there to the inequality $x_1 + x_2 + x_3 \le 17$
118744
Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.
52055
how to prove $437\,$ divides $18!+1$? (NBHM 2012)
100565
Property of sup of a set of numbers
11500
Divisibility by 7 rule, and Congruence Arithmetic Laws
156272
Unique pair of positive integers $(p,n)$ satisfying $p^3-p=n^7-n^3$ where $p$ is prime
84379
Prove that there is no integer a for which $a^2 - 3a - 19$ is divisible by 289
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points
99428
Prove that $3^{2n-1} + 2^{n+1}$ is always a multiple of $7$.
24053
How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?
156242
As many even numbers as natural numbers.
22154
Show that given a set of positive n integers, there exists a non-empty subset whose sum is divisible by n