Partitions of Natural Numbers
135955
Prove: The positive integers cannot be partitioned into arithmetic sequences (using Complex Analysis)
146098
Number of nonempty subsets of a set with $n$ elements
107010
How many elements of order $k$ are in $S_n$?
53937
Any partition of $\{1,2,\ldots,100\}$ into seven subsets yields a subset with numbers $a,b,c,d$ such that $a+b=c+d$.
45448
Minimum number of $k$-partitions of a set of size $n$ to enumerate all $n \choose k$ combinations
108691
Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.
131708
Sum of powers of natural numbers
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
106397
Counting ways to partition a set into fixed number of subsets
121685
Is there a bijection of the natural numbers which swaps $\frac{1}{n}$-summable subsets with $\frac{1}{\sqrt{n}}$-summable subsets?
37783
Proving that a set of 2016 natural numbers contain a non-empty set with a sum divisible by 2016
45386
Fibonacci sequence emerging from integer partitioning
98618
Integer partition with fixed number of summands but without order
153072
Guessing a subset of $\{1,...,N\}$
72750
Uncountable number of mutually disjoint countable sets in $\mathbb R$
17410
Get all possible partitions of number
52861
Natural Numbers and Well ordering