There are $101$ positive integers that sum to $300$. Can we find a subset of these integers that sums to $100$?
60381
101 positive integers placed on a circle
124667
Let $S=\{3,4,5,6,7,8,9,10,11,12\}$. Suppose 6 integers are chosen from S. Must there be 2 integers whose sum is 15?
17703
$S$ be a collection of subsets of $\{1,...,100\}$ ; any two sets in $S$ has non-empty intersection , what is the maximum possible value of $|S|$?
157186
Finding integers satisfying $m^2 - n^2 = 1111$
25338
Sum of $n$ integers from set of size $2n-1$ divides $n$
21531
The number of nonnegative integer triples with sum equal to $12$
100565
Property of sup of a set of numbers
2932
How do I prove this sum is not an integer
134352
The number of possible factorizations of a positive integer.
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
58418
Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?
149489
30 positive integers
65763
Number of ways to write n as a sum of k nonnegative integers
56985
Show that every positive integer has a unique representation in the form $50k+l$...?
132605
Finding the number of subsets of a set such that an element divides the succeeding element.
147635
Find the sum $\frac{1}{2\cdot 3}+\frac{1}{3\cdot 4}+\dots+\frac{1}{99\cdot 100}$
62371
Expected number of times a set of 10 integers (selected from 1-100) is selected before all 100 are seen