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Hungerford's Proof of the Chinese Remainder Theorem

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Finding the existatnce of solution for CRT like congurences

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30
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Finding the existence of solutions for system of equations prior to evaluation

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587
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Prove there exist 135 consecutive integers that each have a perfect cube $>1$ that divides it.

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#congruences #chinese-remainder-theorem
100
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Modular inverse question

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#modular-arithmetic #congruences #chinese-remainder-theorem #euclidean-algorithm
304
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Fermat's little analogue for euclidean domains ??

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#ring-theory #chinese-remainder-theorem #euclidean-domain
325
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prove that there exists a perfect cube that divides 135 consecutive integers

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#modular-arithmetic #congruences #chinese-remainder-theorem
943
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Apply Chinese Remainder Theorem to solve Discrete Logarithm Problem

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#cryptography #chinese-remainder-theorem #discrete-logarithms
364
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Solve $43x\equiv 12 \pmod{56}$

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#number-theory #chinese-remainder-theorem
965
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Chinese remainder theorem, how to get a ≡ b (mod pq) from a ≡ b (mod p) and a ≡ b (mod q)?

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#modular-arithmetic #congruences #chinese-remainder-theorem
1.4k
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Chinese Remainder Theorem Transformation with not coprime moduli

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#elementary-number-theory #modular-arithmetic #chinese-remainder-theorem
478
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How to prove Chinese Remainder Theorem by Coq?

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#logic #chinese-remainder-theorem
156
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Reconciling two versions of Chinese Remainder Theorem

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#abstract-algebra #ring-theory #chinese-remainder-theorem
46
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Understanding modular arirthmetic

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#algebra-precalculus #modular-arithmetic #chinese-remainder-theorem
99
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extension of CRT from $k$ primes to $n$ primes

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#number-theory #modular-arithmetic #chinese-remainder-theorem

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