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surjective morphism between $\mathbb{Z}$-modules

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#matrices #modular-arithmetic #modules #matrix-rank
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Modulus of negative numbers

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#modular-arithmetic
276
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Efficient modular solution to $ax - by \equiv 0\pmod{p}$?

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#number-theory #elementary-number-theory #discrete-mathematics #modular-arithmetic #systems-of-equations
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What is the best algorithm for finding the last digit of an enormous exponent?

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#elementary-number-theory #modular-arithmetic #exponentiation #big-numbers
57
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Cool Modular Arithmetics.

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#number-theory #modular-arithmetic
2.7k
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Prove that the generators of $\mathbb{Z}_n$ are the integers $r$ such that $0\leq r <n$ and $\gcd(r,n)=1$.

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#group-theory #proof-verification #modular-arithmetic #cyclic-groups
35
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How to calculate this congruency?

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#modular-arithmetic #congruence-relations
208
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Distance between two elements in periodic sequence

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#modular-arithmetic #periodic-functions
104
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Chinese remainder theorem - A, B and C think of a code

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#modular-arithmetic #chinese-remainder-theorem #congruence-relations
47
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How do I find the exponent of a mod

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#modular-arithmetic #cryptography
424
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Unknown Exponent In Modular Equation

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#modular-arithmetic
149
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Why does this sum converge: $\sum_{k=2}^{n-1} \frac{1}{k} \frac{n \mod k}{n}$

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#convergence-divergence #summation #prime-numbers #modular-arithmetic
1.2k
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$f(x) \equiv 1$ mod $(x-1)$ and $f(x) \equiv 0$ mod $(x-3)$ then is there any $f(x)$?

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#elementary-number-theory #modular-arithmetic #congruence-relations
2.2k
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find the least positive integer x satisfying both 3x≡11 (mod 17) and 5x≡9 (mod 23)

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#modular-arithmetic
96
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Property prime powers

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#number-theory #elementary-number-theory #modular-arithmetic #algebraic-number-theory

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