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Solving $x^2+xy+y^2 \equiv 0\pmod{n^2} $

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#number-theory #modular-arithmetic
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Is a proof using modular arithmetic in a question like this valid?

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#number-theory #discrete-mathematics #modular-arithmetic
189
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Cardinality of a elliptic curve over a finite field

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#proof-verification #finite-groups #modular-arithmetic #elliptic-curves
51
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How to interpret the notation $f(x) \equiv g(x) \hspace{2mm} (\text{mod} \hspace{2mm} h(x), \hspace{1mm} n)$?

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#ring-theory #notation #modular-arithmetic
921
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Why do some integer modulos have no inverse?

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#linear-algebra #modular-arithmetic
137
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Need an explicit formula for a recurrence relation involving modulus

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#modular-arithmetic #recurrence-relations #closed-form
120
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Find the remainder when $3^{29}$ is divided by $12$.

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#number-theory #modular-arithmetic #exponentiation
905
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If $p$ is prime, with $p> 3$, then $p^{2} \equiv1\pmod{24}$

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#elementary-number-theory #prime-numbers #modular-arithmetic #divisibility
566
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modular arithmetic solving technique

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#modular-arithmetic
176
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How many $k$ satisfy the equation $(p \cdot k)^2 \equiv 0 \pmod{p^n}$ where $k < p^n$ and $p$ is prime

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#modular-arithmetic #quadratic-residues
2.6k
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Ideals and the Chinese Remainder Theorem

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#group-theory #modular-arithmetic
795
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Find the inverse of $8$ modulo $27$

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#elementary-number-theory #finite-groups #modular-arithmetic
202
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Find the last 3 digits of $2015^{18}+2015^{19}+2015^{20}+...+2015^{2018}$.

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#elementary-number-theory #modular-arithmetic
69
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Understanding Modulus Arithmetic

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#modular-arithmetic
71
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How to prove there is at most one remainder then there is at least one remainder

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#modular-arithmetic

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