Results 1 
5 of
5
New experimental results concerning the Goldbach conjecture
 Algorithmic Number Theory (Third International Symposium, ANTSIII
, 1998
"... and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NWO). CWI is a member of ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NWO). CWI is a member of
A set of new Smarandache functions, sequences and conjectures
 in number theory, American Research Press, 2000: http://www.gallup.unm.edu/~smarandache/FeliceRussobook1.pdf
"... 2000 To two stars: ..."
EXPANSION AND IMPROVEMENT OF SIEVE AND APPLICATION IN GOLDBACH’S PROBLEM
, 904
"... Abstract. This paper expands and improves on the general Sieve method. This expaned and improved Sieve is applied to Goldbach’s problem. A new estimate of the exception set in Goldbach’s number E(X), an improved lower bound D1,2(N) and upper bound D(N) are proposed. The proposed values ..."
Abstract
 Add to MetaCart
Abstract. This paper expands and improves on the general Sieve method. This expaned and improved Sieve is applied to Goldbach’s problem. A new estimate of the exception set in Goldbach’s number E(X), an improved lower bound D1,2(N) and upper bound D(N) are proposed. The proposed values
Generalized Riemann Hypothesis
, 2012
"... (Generalized) Riemann Hypothesis (that all nontrivial zeros of the (Dirichlet Lfunction) zeta function have real part onehalf) is arguably the most important unsolved problem in contemporary mathematics due to its deep relation to the fundamental building blocks of the integers, the primes. The p ..."
Abstract
 Add to MetaCart
(Generalized) Riemann Hypothesis (that all nontrivial zeros of the (Dirichlet Lfunction) zeta function have real part onehalf) is arguably the most important unsolved problem in contemporary mathematics due to its deep relation to the fundamental building blocks of the integers, the primes. The proof of the Riemann hypothesis will immediately verify a slew of dependent theorems ([BRW], [SA]). In this paper, we give a proof of Generalized Riemann Hypothesis which implies the proof of Riemann Hypothesis and Goldbach’s weak conjecture (also known as the odd Goldbach conjecture) one of the oldest and bestknown unsolved problems in number theory and in all of mathematics.
0.2 +::;zl~""""I
"... In this paper some Smarandache conjectures and open questions will be analysed. The first three conjectures are related to prime numbers and formulated by F. Smarandache in [1]. 1) First Smarandache conjecture on primes The equation: where Pn is the nth prime, has a unique solution between 0.5 and ..."
Abstract
 Add to MetaCart
In this paper some Smarandache conjectures and open questions will be analysed. The first three conjectures are related to prime numbers and formulated by F. Smarandache in [1]. 1) First Smarandache conjecture on primes The equation: where Pn is the nth prime, has a unique solution between 0.5 and 1; • the maximum solution occurs for n = 1, i.e. when x = 1; the minimum solution occurs for n = 31, i.e. when x = 0.567148K = aD First of all observe that the function Bnex) which graph is reported in the fig. 5.1 for some values of n, is an increasing function for x> 0 and then it admits a unique solution for 0.5:$; x:$; 1. 172 Smarandache function Bn(x) vs x