I need help in solving this proof when $p_1$, $p_2, \dotsc, p_n$ are distinct prime numbers
119282
If $a_1,a_2,\ldots, a_n$ are distinct primes, and $a_1=2$, and $n>1$, then $a_1a_2\cdots a_n+1$ is of the form $4k+3$.
126893
A group of order 2p (p prime) and other conditions - prove abelian.
72666
Prime Numbers And Perfect Squares
16621
Help understand the proof of infinitely many primes of the form $4n+3$
3632
Basic number theory proofs
44857
Why the $(n+1)$th prime number cannot exceed the smallest prime divisor of $p_1\dotsc p_n + 1$
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
14724
For primes $p≡3\pmod 4$, prove that $[(p−1)/2]!≡±1\pmod p$.
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
53194
Prove : $p$(n│even number of ODD parts)=$p$(n│distinct parts ,number of ODD parts is even )
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
151520
About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$
42932
Prove that $p^j q^i$ cannot be a perfect number for $p, q$ odd, distinct primes.
22742
Prove that if $p$ and $p^2+2$ are prime then $p^3+2$ is prime too
75206
If $a$, $a+2$ and $a+4$ are prime numbers then, how can one prove that there is only one solution for $a$?
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
111490
Proof that every number has at least one prime factor