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Square roots of unity modulo a power of a prime

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#finite-groups #modular-arithmetic #roots-of-unity
40
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Baby steps to factorization of a large composite number via modular arithmetic

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#modular-arithmetic #prime-factorization
41
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Modular Arithmetic Problem (Dividing by 3)

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#elementary-number-theory #modular-arithmetic #divisibility
144
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Let a, b, c, and d be integers, and let n be a positive integer:

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#number-theory #discrete-mathematics #proof-writing #modular-arithmetic
575
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Show that the only solutions to the congruence $x^2 \equiv 1\pmod {p^n}$ are $x \equiv \pm 1 \pmod {p^n}$

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#elementary-number-theory #modular-arithmetic
585
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How to do large modulus by hand?

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#number-theory #modular-arithmetic
1.5k
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What is the smallest $n = pq$ for which the RSA encryption and decryption works?

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#modular-arithmetic #cryptography
44
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How to solve modulo when base and modulo is prime numbers

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#elementary-number-theory #prime-numbers #modular-arithmetic
78
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What is the behavior of this family of iterative sequences?

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#discrete-mathematics #modular-arithmetic #recurrence-relations #recursion
68
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Advantages of using negative number in modulo operation?

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#abstract-algebra #number-theory #modular-arithmetic
852
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Is there any relationship between remainder obtained through modulo 2 binary division and remainder obtained in a normal decimal division?

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#modular-arithmetic
90
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Application of RSA cryptosystem

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#discrete-mathematics #modular-arithmetic #cryptography
137
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Congruence of a power with 1, $a^x \equiv 1\ mod \ (p^\alpha)$

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#elementary-number-theory #modular-arithmetic #totient-function
102
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On a conjecture that if $2\left(p_n+p_{n-1}\right)\equiv -1\pmod {n^2}$ then $n=11$ only.

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#elementary-number-theory #prime-numbers #modular-arithmetic #divisibility #conjectures
214
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Prove that $\mathbb{Z}_n$ is closed under multiplication. Two proofs.

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#proof-verification #modular-arithmetic

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