Mohamed Sghiar · HAL (Le Centre pour la Communication Scientifique Directe) · 2020
Inspired by the article [3], the introduction of the function $\hat{\circledS}$ whose integer zeros are the prime numbers, will allow me to demonstrate analytically the Goldbach's conjecture [6], the De Polignac's Conjecture [7], the Legendre's conjecture [9], Landau's conjecture [10], Mersenne's conjecture [11] , and the Fermat number conjecture [12]
Cited by 0Open access
T M Nishad, Mohamed M Azzedine · Indian Journal of Advanced Mathematics · 2022
In this article the elementary mathematical methods are used to prove Beal’s Conjecture, Fermat’s Conjecture, Collatz Conjecture and Goldbach Conjecture.
Cited by 1Open access
Mohamed Sghiar · HAL (Le Centre pour la Communication Scientifique Directe) · 2020
may come from teaching and research institutions in France or abroad, or from public or private research centers.L'archive ouverte pluridisciplinaire HAL, est destine au dpt et la diffusion de documents scientifiques de niveau recherche, publis ou non, manant des tablissements d'enseignement et de recherche franais ou trangers, des laboratoires publics ou privs.
Cited by 0Open access
Neelabh Deka · 2015
Abstract. A new conjecture on prime numbers is proposed in this short note. Conjecture 1. Let pn denote the n-th prime number. If we choose n consecutive natural numbers from the interval [2, p2n] such that they are divisible by p1, p2,..., pn not necessarily in order, then the next set of n consecutive natural numbers would contain at least one prime number. For example, if n = 3, then pn = 5 then we choose three consecutive natural numbers between 2 and 25, say 8, 9 and 10. Here 2 divides 8, 3 divides 9 and 5 divides 10. Then in the next set of three consecutive natural numbers we get 11 which is a prime. A related conjecture would be to guess that the previous set of n consecutive natural numbers before our choice would also contain at least one prime number.
Cited by 0
Marc D. Gellman, J. Rick Turner · 2013
Cited by 0
H. Kröger · 2008
Peviously we have proposed a conjecture, which parametrizes the Q.M. transition amplitude in terms of a quantum action. Here we give a proof of the conjecture showing that such quantum action exists and has a local structure.
Cited by 0
2017
Cited by 0
Daniel Hägele · 2008
Cited by 0
Tritella, Paolo · 2015
Cited by 0Open access
Luigi Delle Site · 2014
Cited by 0
Yale University Press eBooks · 2023
Cited by 0
Oxford University Press eBooks · 1984
Cited by 0
Brill’s New Pauly · 2014
Cited by 0
Peter McDonough · Oxford University Press eBooks · 2013
Abstract The impact of the advocacy groups covered in this book seems modest compared to the influence of Vatican II, immigration, the power of mega-groups groups like the Knights of Columbus, and the selective tuning out of Catholics themselves. At the same time, the emergence of a coalition of Catholic and non-Catholic philanthropists interested in promoting church-affiliated schools, against a background of minorities in need, makes for a potentially powerful, generally conservative bloc. However, constitutional restrictions on public support for religious institutions restrict their effectiveness. Comparison of Catholicism with the trajectory of the Ottoman Empire suggests that, unlike that long imperial experiment, the American church will survive in part because it can gain by welcoming minorities as long as their values are compatible with clerical authority and gender stratification. Comparison with emancipatory movements like abolitionism and feminism indicates that the liberal tradition remains weak within the church.
Cited by 0
Florian Luca · 2015
Cited by 0
Daniel Hägele · 2008
Cited by 0
Samuel Bilson · 2008
Cited by 0
Nicholas Rescher · 2019
Cited by 0
Shreekant Patil · International Journal of Scientific Research in Science and Technology · 2025
In this paper we discuss a part of Oppermann’s Conjecture ”there is at least two primes between n2 − n to n2 and at least another two primes between n^2 to n^2+ n for n≥3.5×〖10〗^6 ”. A part of Legendre’s Conjecture ”there is at least two primes between n^2 to 〖(n+1)〗^2 for n ≥3.5×〖10〗^6 ” and a part of Andrica’s Conjecture states that ” √(p_(n+1) )− √(p_n ) < 1 for every pair of consecutive prime numbers p_n and p_(n+1) (of course, p_n< p_(n+1) ) for n≥3.5×〖10〗^6”. We propose a conjecture regarding the distribution of prime numbers.
Cited by 0Open access
Chi-Kang Chang · arXiv (Cornell University) · 2023
In this article, we will prove the Generalized Nonvanishing Conjecture holds for threefolds with either $κ>0$ or $q>0$. As a result, we can prove the Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has non-negative Kodaira dimension, if the general fibre has positive Kodaira dimension, or if the base space is not threefold with $κ=q=0$. In particular, $C^-_{n,m}$ holds if $n\leq 7$.
Cited by 0Open access