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Results tagged with nt.number-theory
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user 524030
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
Does Goldbach's Conjecture imply a stronger statement about prime pair distributions?
The discussion on F. Brunault's question and extensive calculations suggest:
$$ \qquad f_{n+1} < 4p_n \quad\text{for}\quad n > 0$$
where $f_n$ is the Frobenius number of the numerical semigroup gener …
4
votes
0
answers
195
views
Effective bound for odd numbers expressed as sums of three primes
I am interested in the representation of odd numbers greater than five as sums of three primes, inspired by Harald Helfgott's seminal proof of the ternary Goldbach conjecture and the nuanced findings …