Results 21 to 30 of about 15,692 (133)

On the Construction of Prime Desert n-Tuplets [PDF]

, 1992
If we were able to show that there is an infinite number of prime desert n-tuplets of length k, for any appropriate odd k, then we would have solved the twin prime conjecture because then we would know that there would be an infinite number of prime ...
Marusarz \u2792, Derek M.
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Conjectures on representations involving primes

, 2017
We pose 100 new conjectures on representations involving primes or related things, which might interest number theorists and stimulate further research.
Sun, Zhi-Wei
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Numerical analysis approach to twin primes conjecture [PDF]

Notes on Number Theory and Discrete Mathematics, 2021
This paper provides a better approximation of the functions presented in the article “Numerical Analysis Approach to Twin Primes Conjecture” (see [3]). The new estimates highlight the approximations used in the previous article and the validity of Theorems 1 and 2 through the use of the false hypothesis based on the distribution of primes punctually ...
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Equations for a potential algebraic approach to the twin prime conjecture. Addendum to: "On the numbers that determine the distribution of twin primes" [PDF]

Surveys in Mathematics and its Applications
This is an Addendum to: Article: On the numbers that determine the distribution of twin primes Author: Antonie Dinculescu Published in: Surveys in Mathematics and its Applications, 13 (2018), 171–181. Full text:
Antonie Dinculescu
doaj  

Some remarks on the first Hardy-Littlewood conjecture [PDF]

, 1974
Starting from the first Hardy-Littlewood conjecture some topics will be covered: an empirical approach to the distribution of the twin primes in classes mod(10) and a simplified proof of the Bruns theorem .
Bortolomasi, Marco, Ortiz-Tapia, Arturo
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Proof of the Twin Prime conjecture

Journal of Physics: Conference Series
I proved the Twin Prime conjecture by using Twin Field. So I share my idea.
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On equal consecutive values of multiplicative functions

Discrete Analysis
On equal consecutive values of multiplicative functions, Discrete Analysis 2024:12, 20 pp. It is widely expected that the prime factorizations of a pair of large consecutive natural numbers $n, n+1$ (or of a pair with fixed spacing, such as $n,n+2 ...
Alexander P. Mangerel
doaj   +1 more source

the Transformation of Sieve Function

, 2020
In this paper, we will introduce the transformation of sieve function to improve sieve method. The sieve function can be transformed to similar sieve function and keep its value constant.
Han, Jinzhu
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Correlations of the Moebius and Liouville functions and the twin prime conjecture

, 2015
In this note we describe weight functions that exhibit a transitional behavior between weak and strong correlation with the Liouville function. We also describe a binary problem which may be considered as an interpolation between Chowla's conjecture for ...
Preobrazhenskaya, Tatyana, Preobrazhenskii, Sergei   +1 more
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Disproof of Twin Prime Conjecture

, 2019
A twin prime numbers are two prime numbers which have the difference of 2 exactly. In other words, twin primes is a pair of prime that has a prime gap of two. Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin or prime pair.
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