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Solve congruence system $\ x\equiv m_i-1 \pmod{m_i}\,$ for $\,i = 1,\ldots, k$
elementary-number-theory
chinese-remainder-theorem
Using the Chinese Remainder Theorem, $17x \equiv 9 \pmod{276}$
elementary-number-theory
modular-arithmetic
systems-of-equations
chinese-remainder-theorem
Chinese Remainder Theorem Explanation
chinese-remainder-theorem
Converse to Chinese Remainder Theorem
abstract-algebra
ring-theory
commutative-algebra
ideals
chinese-remainder-theorem
Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
number-theory
modular-arithmetic
chinese-remainder-theorem
Solving the congruence $x^2 \equiv 4 \mod 105$. Is there an alternative to using Chinese Remainder Theorem multiple times?
elementary-number-theory
modular-arithmetic
congruences
cryptography
chinese-remainder-theorem
If every pair of congruence equations admits solutions, then the entire system admits solutions
elementary-number-theory
modular-arithmetic
chinese-remainder-theorem
Chinese Remainder Theorem solvability for non-coprime moduli
elementary-number-theory
discrete-mathematics
modular-arithmetic
chinese-remainder-theorem
Smallest integer which leaves remainder 3, 2, 1 when divided by 17, 15, 13
algebra-precalculus
elementary-number-theory
chinese-remainder-theorem
The Chinese Remainder Theorem for Rings.
abstract-algebra
ring-theory
proof-verification
chinese-remainder-theorem
Determine the remainder when $f(x) = 3x^5 - 5x^2 + 4x + 1$ is divided by $(x-1)(x+2)$
abstract-algebra
polynomials
ring-theory
chinese-remainder-theorem
lagrange-interpolation
How do I use the Chinese remainder theorem to find all the square roots of 11 in $\mathbb Z_{35}$?
chinese-remainder-theorem
Deriving Chinese Remainder Theorem from gcd Bezout identity
number-theory
elementary-number-theory
modular-arithmetic
systems-of-equations
chinese-remainder-theorem
Solving multiple congruences by CRT = Chinese Remainder Theorem
elementary-number-theory
modular-arithmetic
chinese-remainder-theorem
Prove $x \equiv a \pmod{p}$ and $x \equiv a \pmod{q}$ then $x \equiv a\pmod{pq}$
number-theory
elementary-number-theory
modular-arithmetic
chinese-remainder-theorem
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