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Solve the Following Congruences, or Explain Why They Have No Solution

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#modular-arithmetic #euclidean-algorithm
618
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Solving the Congruence $20x \equiv 16 \pmod{92}$ and Giving Answer As a Congruence to the Smallest Possible Modulus

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#modular-arithmetic
274
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Show that $\sum\limits_{i=1}^{p} i^{p}$ is divisible by $p$ for all primes $p > 2$.

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#elementary-number-theory #summation #modular-arithmetic
118
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Find all solutions for $x$ mod $777$

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#modular-arithmetic #gcd-and-lcm
486
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solving $151x − 294 \equiv 44 \pmod{7}$

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#modular-arithmetic
97
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How to know if people ever meet when they are walking two different routes at the same time which intersect.

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#modular-arithmetic
57
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$6 \equiv 6 \pmod{7}$ or $6 \equiv -1 \pmod{7}$?

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#modular-arithmetic
740
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Last digit of sequence of numbers

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#number-theory #elementary-number-theory #modular-arithmetic
126
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Modulo Arithmetic: Proof of Basic Property

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#modular-arithmetic #induction #totient-function #multiplicative-function
59
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Discrete math - Mod() : $x^n - y^n$ for $n ≥ 0$

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#discrete-mathematics #modular-arithmetic
145
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Solving a Congruence Relation with a function

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#elementary-number-theory #modular-arithmetic
1k
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How do I know if a base-$3$ number is congruent to $3\pmod 5$?

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#modular-arithmetic #finite-state-machine
76
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A $p$-congruence involving both kinds of Stirling numbers.

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#elementary-number-theory #reference-request #modular-arithmetic #generating-functions #stirling-numbers
71
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Why does $6^{2m}$ mod 7 $\not\equiv 6^{2n + 1}$ mod 7 for all integers $m$ and $n$?

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#elementary-number-theory #modular-arithmetic
1.6k
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What is the multiplicative order of a product of two integers $\mod n$?

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#group-theory #number-theory #modular-arithmetic #prime-factorization

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