Find all positive integer $n$ with the property that there is a partition of the set $({n, n + 1, n + 2, n + 3, n + 4, n + 5})$
141531
Find the set of $n\in\Bbb Z^+$ with $M=\{n,n+1,n+2,n+3,n+4,n+5\}$ partitionable into two sets
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
115258
Find all positive integers $n$ such that $\phi(n)+\sigma(n)=2n$.
73224
number of ordered partitions of integer
113980
Prove that a set of nine consecutive integers cannot be partitioned into two subsets with same product
149216
Give a combinatorial proof to show the following for all integers $n \geq 2$.
114404
For which positive integer values of $n$ does $a|mn-b?$
43865
Find all positive integers $n$ such that $\phi(n)=6$.
148796
Calculating $\tau(n)$, the number of positive divisors of $n \in \mathbb N$
102174
Proving that all terms in sequence are positive integers (Recursive)
117862
Number of partitions of an $n$-element set into $k$ classes
106030
Find all the positive integer
142956
Prove that for any positive integer n there is a sequence of n consecutive composite numbers.
72440
Partition a set into $k$ non-empty subsets
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
82872
Combinatorial proof involving partitions and generating functions
128716
Intuitive/direct proof that a rectangle partitioned into rectangles each with at least one integer side must itself have an integer side