Our research
Currently, there are several attempts to prove the Goldbach's conjecture, which are complete, in the sense that they come to…
After almost three centuries, will we find a proof?
Category: Goldbach’s conjecture
Study of existence of complementary space pairs based on second order dashed lines
Prerequisites: Dashed line theory definitions and symbols Our proof strategies Proof strategy based on dashes Characterization of spaces The aim…
Proof strategy based on dashes
Prerequisite: Our proof strategies: an overview The proof strategy set out here starts from one of the assumptions of the…
Proof strategy based on spaces
Prerequisite: Our proof strategies: an overview The proof strategy which will be exposed here has the goal of proving Hypothesis…
Proof strategy based on factorization
Prerequisites: Our proof strategies Factorization dashed lines The final aim of the proof strategies that we are carrying out, as…
Our proof strategies: an overview
Prerequisite: Goldbach’s conjecture As already indicated, our ultimate goal is to use dashed line theory to prove Goldbach’s conjecture. Dashed…
Map of paths for proof strategies
The following map presents an overview of all paths related to proof strategies: the items listed below correspond to paths,…
Maximum space distance calculator
The Maximum space distance calculator is a program which we developed for computing the value of the maximum distance between…
Other conjectures related to sums of primes
Over the centuries, various scholars have attempted to relate odd and even numbers with sums involving prime numbers. Some of…
Bidimensional sieve of Eratosthenes
This page allows viewing a “bidimensional” version of the sieve of Eratosthenes applied to a given number. Differently from its…
Goldbach pairs viewer
This page allows viewing all Goldbach pairs in which an even number can be decomposed. The search can be done…
Origins of the two Goldbach’s conjectures
Background Europe, 18th century. While the Western powers were all a flourishing of industries, cultural exchanges and scientific discoveries, the…
19. Calculation of t_value for dashed lines of arbitrary order
The function [latex]\mathrm{t\_value}[/latex], by definition, indicates which column of a dashed line a dash belongs to. For this reason, in…
17. Upper bound for maximum distance between consecutive spaces
One of the still open problems of dashed line theory is, given a linear dashed line [latex]T = (p_1, p_2,…
Goldbach’s Conjecture
The proof of the Goldbach's Conjecture is one of the biggest still unsolved problems regarding prime numbers. Originally expressed in…
Some important results
The statement phrased by Christian Goldbach is a "conjecture", so, as a matter of principle, it is a hypothesis. This…
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