Question about integer congruence modulo positive primes.
100426
Let $a$ and $b$ be integers. Show that if $a \equiv b \pmod{p}$ for every prime $p$, then $a = b$.
68635
When is $2$ a quadratic residue mod $p$?
151636
Fast way to calculate n! mod m where m is prime?
119051
Show that only finitely many positive integers $n$ have the property that for all $m$ for which $1<m<n$ and $\text{gcd}(m,n) = 1$, $m$ is prime.
27063
Prove that if n is an odd positive integer , then $n^2\equiv1\mod8$
36819
Show there are infinitely many primes that are equivalent to 1 mod 8.
71788
Prove existence of multiplicative inverse modulo p when p is prime
124241
Finding all integers $k \geq 2$ such that $k^2 \equiv 5k \pmod{15}$. What is going on here?
128634
Doubt related to a theorem in congruences of Chapter 5 of Apostol Introduction to analytic number theory
40968
show if $n=4k+3$ is a prime and ${a^2+b^2} \equiv 0 \pmod n$ , then $a \equiv b \equiv 0 \pmod n$
81150
Positive integer multiples of an irrational mod 1 are dense
138409
Proof of infinitely many primes, clarification
112031
Prove that $\gcd(2^{2^m}+1,2^{2^n}+1)=1$ if $m,n$ are positive integers.
152299
Proving $a^{n-1} \equiv 1 \mod n $ when n is not prime.
132587
Prove that the product of coprimes must be congruent to $-1$ or $1 \pmod{m}$
94017
If p is a prime and a ∈Z. How do we prove that the congruence x^x ≡ a (mod p) is solvable?
7414
Prove that odd perfect square is congruent to $1$ modulo $8$