Results 31 to 40 of about 501 (84)

The Prime Sequence: Demonstrably Highly Organized While Also Opaque and Incomputable—With Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intelligence

open access: yesAdvances in Pure Mathematics, 2014
The main design of this paper is to determine once and for all the true nature and status of the sequence of the prime numbers, or primes—that is, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and so on. The main conclusion revolves entirely around two points.
openaire   +2 more sources

A Detailed Proof of the Strong Goldbach Conjecture Based on Partitions of a New Formulation of a Set of Even Numbers

open access: yesAsian Research Journal of Mathematics
The Strong Goldbach's conjecture, a fundamental problem in Number Theory, asserts that every even integer greater than 2 can be expressed as the sum of two prime numbers. Despite significant efforts over centuries, this conjecture remains unproven, challenging the core of mathematics.
Daniel Sankei   +2 more
openaire   +1 more source

A novel and diverse family of filamentous DNA viruses associated with parasitic wasps. [PDF]

open access: yesVirus Evol
Guinet B   +13 more
europepmc   +1 more source

Structural Patterns of Goldbach Partition Numbers: A High-Precision Estimation Model Based on Prime Density

open access: yes
Abstract This research proposes a new approach to the Goldbach Conjecture based on the relationship between the partition numbers of even integers and interval prime density. Through in-depth analysis of even number decomposition properties, we discovered that even numbers can be classified into two categories: Type I (without effective prime ...
openaire   +1 more source

The Nedelchev Structural Law: Spectral Invariance and Dynamical Scaling in Goldbach-Partitioned Oscillator Networks

open access: yes
# The Nedelchev Structural Law: Prime Synchronization & Spectral Stability   This research dataset and software framework formalize the **Nedelchev Structural Law**, a fundamental discovery linking Additive Number Theory with the synchronization dynamics of non-linear systems.
openaire   +3 more sources

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