List questions from modular-arithmetic

Published on 17 Mar 2019 - 22:36

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Largest multiple of $7$ lower than some $78$-digit number?

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Inverse of a equation with modulo operator

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Suppose that $T$ is the smallest positive integer satisfying $m^{T}\equiv \pmod {pq}$. Prove that $T\mid(p-1)(q-1)$.

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What does $5\mathbb{Z}_{25}$ mean? (Notation help)

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Prove without induction that $2×7^n+3×5^n-5$ is divisible by $24$.

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Number Theory: Problem with proofs

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Real Modulo Numbers in the Interval [0, 1), and Multiplication of

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Find $438^{87493} \equiv ~? \pmod{11}$

Published on 21 Mar 2019 - 6:32

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Write a single congruence?

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Notation for "congruent to a member of"

Published on 22 Mar 2019 - 10:49

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Is there a solution for $2^{n-1}\equiv 2^{16}+1\mod n$ or $2^{n-1}\equiv 2^{26}+1\mod n$?

Published on 22 Mar 2019 - 12:47

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Help to prove that: if m ≡ n (mod a) then mb ≡ nb (mod ab)

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Problem in understanding a proof in Number Theory

Published on 23 Mar 2019 - 1:51

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Explanation of this example

Published on 23 Mar 2019 - 7:25

List Question

Solving $2x^{3}=3$ over $\mathbb{Z}_5$.

Largest multiple of $7$ lower than some $78$-digit number?

Inverse of a equation with modulo operator

Suppose that $T$ is the smallest positive integer satisfying $m^{T}\equiv \pmod {pq}$. Prove that $T\mid(p-1)(q-1)$.

What does $5\mathbb{Z}_{25}$ mean? (Notation help)

Prove without induction that $2×7^n+3×5^n-5$ is divisible by $24$.

Number Theory: Problem with proofs

Real Modulo Numbers in the Interval [0, 1), and Multiplication of

Find $438^{87493} \equiv ~? \pmod{11}$

Write a single congruence?

Notation for "congruent to a member of"

Is there a solution for $2^{n-1}\equiv 2^{16}+1\mod n$ or $2^{n-1}\equiv 2^{26}+1\mod n$?

Help to prove that: if m ≡ n (mod a) then mb ≡ nb (mod ab)

Problem in understanding a proof in Number Theory

Explanation of this example

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