Lucas Numbers have the same prime divisors?
100984
Prove that if prime $p$ divide $a_{2k}-2$, then $p$ divide also $a_{2k+1}-1$.
124037
Complex prime numbers
39698
On uniqueness of sums of prime powers
25034
Fermat numbers are coprime
110444
Finding out the number of divisors
152591
For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?
5142
Infinitely many primes of the form $pn+1$
132132
Are there infinitely many primes of the form $6^{2n}+1$ or only finitely many?
6918
Primes congruent to 1 mod 6
75206
If $a$, $a+2$ and $a+4$ are prime numbers then, how can one prove that there is only one solution for $a$?
93721
Are numbers in which all substrings are primes finite regardless of base?
40538
On determinants and common divisors
19164
On the GCD of a Pair of Fermat Numbers
91069
Express an even number as a sum of primes
136947
Simple Mersenne prime divisibility proofs
2593
Proof for Mersenne primes?
21383
Can every even integer be expressed as the difference of two primes?