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Congruence mod p involving a product

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#number-theory #modular-arithmetic #products
67
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Find all the integers $x$ with the property $43x\equiv _{73} 1$.

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#abstract-algebra #ring-theory #proof-writing #modular-arithmetic
101
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If $(x_n)_{n=1}^{\infty}$ is periodic then $(x_{f(n)})_{n=1}^{\infty}$ is periodic

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#calculus #modular-arithmetic #periodic-functions
270
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Why are the following congruent modulo 10?

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#elementary-number-theory #modular-arithmetic
122
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Connecting Bases, Euclidean Division, and Modulus

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#number-theory #functions #discrete-mathematics #modular-arithmetic #arithmetic
308
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Show this map is a permutation

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#abstract-algebra #permutations #modular-arithmetic #solution-verification
206
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Group operation used in decomposition of Fundamental Theorem of Finite Abelian Groups

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#group-theory #modular-arithmetic #abelian-groups #group-isomorphism
53
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Is it possible to simplify $(x \pmod a) - (x \pmod b)$?

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#elementary-number-theory #modular-arithmetic
104
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System of congruence in 3 variables and modulos

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#number-theory #elementary-number-theory #modular-arithmetic
305
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How to solve $x^2+3x+17\equiv 0\pmod{315}$?

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#modular-arithmetic #roots #quadratics
119
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Fermat numbers, GCD and proving existence of infinite primes

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#number-theory #prime-numbers #modular-arithmetic #fermat-numbers
298
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5 is primitive root on modulo 47 then solve the $x^{20} \equiv21(mod47)$

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#number-theory #elementary-number-theory #modular-arithmetic
117
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solving simultaneous linear congruences and simplifying the mod

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#modular-arithmetic #systems-of-equations
312
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When is $(x \textrm{ mod } a) \textrm{ mod } b = (x \textrm{ mod } b) \textrm{ mod } a$?

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#modular-arithmetic #arithmetic
39
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Why is it that for three numbers $i, j, n \in \mathbb{N}$, if $i \equiv j \pmod{n}$ and $i, j \leq n$, then $i = j$?

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#modular-arithmetic

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