A Necessary and Sufficient Condition for Proof of the Binary Goldbach Conjecture. Proofs of Binary Goldbach, Andrica and Legendre Conjectures. Notes on the Riemann Hypothesis
Samuel Bonaya Buya, John Bezaleel Nchima
Abstract
A Sufficient and Necessary Condition for Proof of Goldbach ConjectureThe square of a natural square number greater than or equal to 2 is equal to the square of a natural square number greater or equal to 0 and a Goldbach partition semiprime.Let m be a natural number greater or equal to 2. Let n be a natural number greater or equal to zero.Let s g be a Goldbach partition semiprime.Goldbach partition semiprimes contain prime factors of the same parity.The above condition means that:
Topics & Concepts
Goldbach's conjectureMathematical proofRiemann hypothesisBinary numberMathematicsLegendre polynomialsLegendre symbolPure mathematicsCombinatorial proofConjectureCombinatoricsArithmeticMathematical analysisBinary quadratic formQuadratic equationGeometryQuadratic functionAnalytic Number Theory ResearchFinite Group Theory ResearchAdvanced Algebra and Geometry