Results 71 to 80 of about 532 (94)

Computing Goldbach partitions using pseudo-random bit generator operators on an FPGA systolic array

Lecture Notes in Computer Science, 1998
Calculating the binary Goldbach partitions for the first 128× 106 numbers represents weeks of computation with the fastest microprocessors. This paper describes an FPGA systolic implementation for reducing the execution time. High clock frequency is achieved using operators based on pseudo-random bit generator.
Yannick Saouter
exaly   +2 more sources

Deep learning-based approximation of Goldbach partition function

Discrete Mathematics, Algorithms and Applications, 2021
Goldbach’s conjecture is one of the oldest and famous unproved problems in number theory. Using a deep learning model, we obtain an approximation of the Goldbach partition function, which counts the number of ways of representing an even number greater than 4 as a sum of two primes.
openaire   +2 more sources

Goldbach partitions and sequences

Resonance, 2014
Properties of Goldbach partitions of numbers, as sums of primes, are presented and their potential applications to cryptography are described. The sequence of the number of partitions has excellent randomness properties. Goldbach partitions can be used to create ellipses and circles on the number line and they can also be harnessed for cryptographic ...
openaire   +1 more source

Phenomenological Evidence of GUE Statistics and Thermodynamic Stability in Goldbach Partitions

This preprint presents a computational and phenomenological analysis of Goldbach's Conjecture through the combined lenses of spectral theory (GUE random matrix statistics) and statistical mechanics (thermodynamic entropy). Using an integral-refined Hardy–Littlewood heuristic with explicit Singular Series computation, we achieve convergence ratios of ≈1.
openaire   +1 more source

Major Conjectures and Cosmological Tests F; The Cosmological Falsifiability of Goldbach's Even Partition

This paper establishes a theoretical framework based on the axioms of Information Conservation and Computability, translating the Goldbach conjecture (every even integer greater than 2 can be expressed as the sum of two primes) intoan observable cosmological prediction: on the comoving wavenumber grid corresponding to even scales kn ∝ 2n, the large ...
zhou, changzheng, zhou, changzheng
openaire   +1 more source

An exact procedure for determining integers to be used in Goldbach partition and proof of Strong Goldbach conjecture

2021
openaire   +1 more source

Study of Structured Primes in Goldbach Partitions

Annual International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2012), 2012
openaire   +1 more source

Exceptional zeros and the Goldbach problem

Journal of Number Theory, 2022
John Friedländer, D Goldston, H Iwaniec   +2 more
exaly  

Goldbach partitions and sequences

Resonance, 2015
Subhash Kak
exaly  

A pair correlation hypothesis and the exceptional set in Goldbach's problem

Mathematika, 1996
Alessandro Languasco, A Perelli
exaly