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Question about modulus order of operations

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#modular-arithmetic
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Question about Ramanujan's congruence with modulo $5$

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#number-theory #modular-arithmetic
184
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Show that $ \sum_{k=1}^{p-1} (k-1)! (p-k)! k^{p-1} \equiv 0 \pmod p\ $ for odd prime $ \ p \ $

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#elementary-number-theory #modular-arithmetic
129
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Solving multivariable modulo equations?

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#modular-arithmetic #fixed-point-theorems
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Multiplying congruences.

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#elementary-number-theory #modular-arithmetic #divisibility
88
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Computing linear congruence

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#modular-arithmetic
1.4k
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Modular exponentiation with unknown base using Euler's theorem

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#modular-arithmetic #totient-function
723
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Computing linear congruence - Euclidean algorithm

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#modular-arithmetic #euclidean-algorithm
39
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How to solve summation (t+i)!/i! where i is from 1 to n.

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#modular-arithmetic #factorial
57
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Reverse a modular permutation

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#number-theory #permutations #modular-arithmetic #inverse-function
112
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sum of exponentials with modulus function

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#summation #modular-arithmetic #exponential-sum
142
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Modular arithmetic, remainder of a term in a sequence when divided by 100

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#sequences-and-series #modular-arithmetic
461
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Solving system of linear equations involving modulo power of 2

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#modular-arithmetic #systems-of-equations
216
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If the last 3 digits of $2012^m$ and $2012^n$ are identical, find the smallest possible value of $m+n$.

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#modular-arithmetic
41
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Prove the solution set is a subgroup under mod 2 addition

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#abstract-algebra #group-theory #modular-arithmetic #normal-subgroups

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