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Results tagged with nt.number-theory
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user 32259
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
3
answers
353
views
A limit concerning prime numbers
Let $p$ be a fixed prime and $r$ a fixed prime power. Let $x_{p'}$ denote the largest divisor of a positive integer $x$ such that $x_{p'}$ is not divisible by $p$. (For example, $60_{2'}=15$.) I would …
- 387
2
votes
1
answer
391
views
A Diophantine equation involving prime powers.
Dear all,
When working with a group theory problem, I come up with the equation:
$$p^x-1=2^y,$$ where $p$ is a prime and $x,y$ are positive integers. I would like to show that this equation has infi …
- 387