3, 5, 7 are the only three consecutive odd natural numbers that are prime.
51520
Prove that the only prime triple is 3, 5, 7
58935
If $p$ and $p^2+8$ are both prime numbers, then $p^3+4$ is prime.
92737
primes whose difference is a multiple of $n$
58673
Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$
151701
Does there exist an $a_0$ such that the sequence $a_{n+1} = 2a_n + 1$ is prime for all $n \ge 0$?
76282
Prime number expressible as $2^2+3^3+5^5+7^7+11^{11}+\cdots$
44857
Why the $(n+1)$th prime number cannot exceed the smallest prime divisor of $p_1\dotsc p_n + 1$
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?
43178
Why can't prime numbers satisfy the Pythagoras Theorem? That is, why can't a set of 3 prime numbers be a Pythagorean triplet?
23097
Prove that every number ending in a $3$ has a multiple which consists only of ones.
10364
Is $7$ the only prime followed by a cube?
60847
What three odd integers have a sum of 30?
156242
As many even numbers as natural numbers.
78847
Bijection between Prime numbers and Natural numbers
111938
How do I find a flaw in this false proof that $7n = 0$ for all natural numbers?
56229
On the difference between consecutive primes
9043
finding infinetely many primes in three different forms of prime numbers below