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Results tagged with nt.number-theory
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user 13785
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
Primality criteria for specific class of Wagstaff numbers ?
Let $Y_0 = 3$ and $Y_{i+1} = Y_i^2-2$. Then your $S_i = \frac{1}{2} Y_{2i}$. So your condition would be that $Y_{p-1}\equiv Y_0 \pmod{W_p}$. This is nearly the same as (and I'd say equivalent to) the …
- 376
2
votes
find the minimum difference between the factors of a number
As @Goldstern commented, if you don't have the factorization of $c$, then in general you can't even necessarily find non-trivial factors.
Even assuming you're given the full prime factorization of $c …
- 376
18
votes
are there infinitely many triples of consecutive square-free integers?
I found these answers by Erick Wong. The simpler version is that if the answer was no, then at least two of every $4a,4a+1,4a+2,4a+3$ must not be squarefree for $a$ large enough, so the density of squ …
- 376