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15
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Packs of pencils required in equal

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#arithmetic #factoring #gcd-and-lcm
464
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How to simplify a sum of complex divisors?

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#complex-numbers #gcd-and-lcm #divisor-sum #project-euler
1.2k
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How many pairs of numbers exist,which satisfy the following conditions?

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#elementary-number-theory #gcd-and-lcm #least-common-multiple
313
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proving that -1 is square if p = 1 mod 4

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#polynomials #modular-arithmetic #gcd-and-lcm #euclidean-algorithm
965
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GCD and Prime Numbers Proof

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#prime-numbers #gcd-and-lcm
51
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Greatest Common Divisor parking meter problem

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#number-theory #elementary-number-theory #gcd-and-lcm
586
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Greatest Common Divisor Proof: $\gcd(m^2-n^2, m^2+n^2) = 1$

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#elementary-number-theory #divisibility #gcd-and-lcm
270
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Prove that a linear integer combination of two values cannot lie in a given range

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#elementary-number-theory #discrete-mathematics #gcd-and-lcm
773
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Sum of reciprocal GCDs

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#number-theory #summation #gcd-and-lcm
89
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Order of product of powers of elements from a group

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#abstract-algebra #group-theory #gcd-and-lcm
239
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euclidian algorithm proof

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#proof-writing #gcd-and-lcm #euclidean-algorithm
2.3k
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Prove that ∀a, b, u, v ∈ Z − {0} ua + vb = 1 → gcd(a, b) = 1

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#elementary-number-theory #discrete-mathematics #divisibility #gcd-and-lcm
1.3k
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Prove that ∀d ∈ N − {0, 1} ∃a, b, u, v ∈ Z − {0} (ua + vb = d ∧ gcd(a, b) ≠ d)

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#discrete-mathematics #proof-writing #gcd-and-lcm
372
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$\sum_{i=1}^n \frac{n}{\text{gcd}(i,n)}.$

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#elementary-number-theory #summation #gcd-and-lcm
272
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Show gcd(a,b) and gcd(a,c) are relatively prime

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#gcd-and-lcm

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