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Find integers x, y such that 242x + 2240y = gcd(242,2240)

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#elementary-number-theory #euclidean-algorithm #linear-diophantine-equations
39
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Diophantine equation in primes

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#recreational-mathematics #linear-diophantine-equations
358
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Number of solution of a linear diophantine equation

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#combinatorics #linear-diophantine-equations
41
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Using Frobenius numbers.

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#combinatorics #number-theory #elementary-number-theory #analytic-number-theory #linear-diophantine-equations
1.7k
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Solution of a given linear diophantine equation.

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#number-theory #chinese-remainder-theorem #linear-diophantine-equations
85
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Counting solutions to a system of diophantine equations

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#elementary-number-theory #diophantine-equations #systems-of-equations #linear-diophantine-equations
264
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Integral Solution Proof

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#elementary-number-theory #linear-diophantine-equations
600
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3 variable diophantine equation word problem: coins

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#number-theory #elementary-number-theory #diophantine-equations #euclidean-algorithm #linear-diophantine-equations
1.1k
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Check whether positive integral solution $(x,y)$ exists for $ax + by = n$

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#elementary-number-theory #diophantine-equations #linear-diophantine-equations
234
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How can I solve the folowing Diophantine equation with two unknowns?

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#number-theory #prime-numbers #diophantine-equations #prime-factorization #linear-diophantine-equations
1k
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Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

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#combinatorics #number-theory #diophantine-equations #generating-functions #linear-diophantine-equations
336
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Solve linear diophantine equation problem

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#diophantine-equations #linear-diophantine-equations
237
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If $x, y \leq 500$ then find the number of nonnegative integer solutions to $4 x - 17y = 1$

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#elementary-number-theory #linear-diophantine-equations
64
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On a linear two variable diophantine equation

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#elementary-number-theory #linear-diophantine-equations
63
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How do I prove that if $n≥12$, then $n=3a+7b$ for some $a≥0$, $b≥0$ where $a,b ∈ N$?

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#elementary-number-theory #linear-diophantine-equations

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