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Results tagged with nt.number-theory
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user 481694
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
1
answer
302
views
On Giuga numbers
I am studying Giuga numbers and I am reading a paragraph that says all Giuga numbers $n$ satisfy the property $\left(\sum_{p|n}1/p\right) - 1/n \in \mathbb{N}$ and beside it says that all known Giuga …
3
votes
2
answers
403
views
If $p_1$ and $p_2$ are prime numbers, then either $p_1$ divides $\sum_{i=1}^{p_1-1} i^{p_1p_...
I feel like it's true as for small cases I couldn't find counterexample.
In general, whether it's true that if we have prime number, $p_{1}, p_{2},\dotsc, p_{k}$ and $n=p_{1}p_{2}p_{3}\dotsb p_{k}$ th …