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15
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Prove that these vectors span $\mathbb{Q}$

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#linear-algebra #vector-spaces #modular-arithmetic
853
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Partial of Modulo operator ? (with non-integers)

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#derivatives #modular-arithmetic #partial-derivative
484
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Using factorization to solve modulo arithmetic involving big numbers.

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#elementary-number-theory #modular-arithmetic #cryptography #prime-factorization
51
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Inverse modular exponentation

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#modular-arithmetic #congruences #cryptography
639
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show if n=4k+3 is a prime and a2+b2≡0(modn) , then

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#elementary-number-theory #modular-arithmetic
323
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Elementary Number Theory (Least Residue)

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#number-theory #modular-arithmetic
112
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Is it true that $ \sum_{k=0}^{(2q+1)n+q} \binom{2\left((2q+1)n+q\right)+1}{2k} 3^k $ is divisible by $\sum_{k=0}^{q} \binom{2q+1}{2k} 3^k $

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#elementary-number-theory #summation #modular-arithmetic #binomial-coefficients
184
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modular equation: x(x-1) = 0 mod 6

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#modular-arithmetic #quadratics
231
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Proof: Given that $x$ is a positive integer, prove...

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#elementary-number-theory #proof-verification #modular-arithmetic #proof-explanation
38
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Modular arithmetic - integer's remainder computed iteratively

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#modular-arithmetic
1k
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$\sigma(n) \equiv 1 \space \pmod{n}$ if and only if $n$ is prime

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#number-theory #prime-numbers #modular-arithmetic #divisor-sum
119
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Counting elements less than $k$ in arithmetic progressions modulo $m$

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#algorithms #modular-arithmetic #arithmetic-progressions
884
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Prove that $76$ raised to any integer power and then divided by $100$ (ignoring the remainder) is always divisible by $57$

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#elementary-number-theory #modular-arithmetic #divisibility
94
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Is $7+13k$ ever a perfect square (for $k$ in $Z$)? (Part of a question regarding modulus)

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#number-theory #elementary-number-theory #modular-arithmetic
24
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Is the following claim about modeular polynomial division correct?

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#abstract-algebra #polynomials #field-theory #modular-arithmetic #euclidean-geometry

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