Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline

Journals

remove_circle_outline

Article Types

remove_circle_outline

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = sparsity density τ μ

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
3 pages, 861 KiB  
Proceeding Paper
The Proof and Decryption of Goldbach Conjecture
by Linfu Ge
Comput. Sci. Math. Forum 2023, 8(1), 52; https://doi.org/10.3390/cmsf2023008052 - 11 Aug 2023
Viewed by 1552
Abstract
In this paper, a few mathematical bases are given firstly. Then, the step thinness τp of primes is given as τp = Lo1 = P1ΠP/(P−1) for the inner character, having an lnX logarithmic outer character. The “best estimation and mutual exchange equivalent” are [...] Read more.
In this paper, a few mathematical bases are given firstly. Then, the step thinness τp of primes is given as τp = Lo1 = P1ΠP/(P−1) for the inner character, having an lnX logarithmic outer character. The “best estimation and mutual exchange equivalent” are easily obtained as Lo1 = P1Π P/(P−1)~τp~lnX(ε). This is the principal contradiction, and P is the main aspect. Then, the sparsity τt of twin primes is defined as Lo2 = τt = P2 Π P/(P−2) = C2Lo1² = C2ln²X(C2 = 0.75739006). Then, the sparsity τg of the Goldbach pair and τb of both the twin and Goldbach pairs are obtained as Lo3 = τg = {2Lo1, Lo1², 2C2Lo1²} and Lo4 = τb =4.7Lo1³ (or they are omitted). Lastly, all conjectures can be proved with the same frame formula, N = X/LOK. The twin prime conjecture and Goldbach conjecture low bound are clearly and accurately proved with T = X/(C2Lo1²) = 1.32032X/ln²X and Gd = X/(2C2Lo1²) = 0.66016X/ln²X. Using Lo1 + C2 to decrypt the Selberg formula C(ω) = 2C(N) obtains the totally same results. Full article
(This article belongs to the Proceedings of 2023 International Summit on the Study of Information)
Show Figures

Figure 1

Back to TopTop