Every two consecutive integers are coprime.
17233
are two consecutive numbers relatively prime?
94570
Proof that every odd integer is a difference of two squares
94209
Prove by contradiction that every integer greater than 11 is a sum of two composite numbers
275
Two consecutive spaces
33786
Proof that a certain fraction is always an integer
65978
How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
42526
The product of $n$ consecutive integers is divisible by $ n!$ (without using the properties of binomial coefficients)
113980
Prove that a set of nine consecutive integers cannot be partitioned into two subsets with same product
103581
Which positive integers can NOT be written as a sum of consecutive positive integers
102046
If all primes greater than some fixed value are congruent one modulo an integer, then said integer is equal two.
64052
Among any three consecutive positive integers one is a multiple of 3
63300
Product of Consecutive Integers is Not a Power
25034
Fermat numbers are coprime
150508
∗∗Prove that each graph with an even number of vertices has two vertices with an even number of common neighbors.
1507
The product of $n$ consecutive integers is divisible by $n$ factorial
78472
Sequence is periodic $x_{n+2}=|x_{n+1}-x_{n-1}|$
26878
Primes between consecutive cubes