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Polynomial satisfying $p(x)=3^{x}$ for $ x \in \mathbb{N}$

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#calculus #abstract-algebra #polynomials #diophantine-equations
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Are there integer solutions to $9^x - 8^y = 1$?

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#number-theory #diophantine-equations
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Number of Pythagorean Triples under a given Quantity

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#number-theory #analysis #diophantine-equations
399
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Finding $a,b$ such that $a^{n} + b^{n} $ is $(n+1)^{th}$ power

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#number-theory #diophantine-equations
336
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Odd positive integers that satisfy $a^2 - b^3 = 4$

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#number-theory #diophantine-equations
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An integer is an $n$th power if that holds true for all moduli

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#number-theory #elementary-number-theory #arithmetic #diophantine-equations
457
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Finding all solutions to a Diophantine equation involving partial sums of a given series

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#number-theory #diophantine-equations
8.1k
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$n!+1$ being a perfect square

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#number-theory #elementary-number-theory #diophantine-equations #factorial #square-numbers
347
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Recovering a matrix A from det(A)

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#linear-algebra #matrices #diophantine-equations
337
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How to calculate this set of diophantine equations

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#number-theory #diophantine-equations
1.7k
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When do the multiples of two primes span all large enough natural numbers?

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#number-theory #prime-numbers #diophantine-equations
3.6k
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Generating integers from a linear combination of integers

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#number-theory #diophantine-equations
487
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Upper bound for the quality of an $abc$-triple

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#number-theory #real-analysis #analysis #diophantine-equations #asymptotics
600
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Find all positive integers n, such that

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#number-theory #diophantine-equations
478
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Pell's equation: find all $N$ such that $x^2 - 94y^2 = N$ has a solution

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#number-theory #diophantine-equations #pell-type-equations

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