In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states...

Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural...

a proof, now widely accepted but not yet fully published, of Goldbach's weak conjecture. Helfgott was born on 25 November 1977 in Lima, Peru. He graduated...

mathematician Sandra Goldbach, a German rower Goldbach's conjecture, one of the oldest unsolved problems in number theory Goldbach's weak conjecture, also known...

four volumes of Opera omnia, with Goldbach's influence guiding some of the writings. Goldbach's famous conjecture and his writings with Euler prove him...

Goldbach's weak conjecture, every odd number greater than 5 can be expressed as the sum of three primes, is a consequence of Goldbach's conjecture. Ivan...

Chinese: 梁蕙蘭; Jyutping: Loeng⁴ Wai⁶-laan⁴ Cramer conjecture Erdős discrepancy problem Goldbach's weak conjecture Inscribed square problem King Faisal Foundation...

hypothesis and some of its generalizations, along with Goldbach's conjecture and the twin prime conjecture, make up Hilbert's eighth problem in David Hilbert's...

remained before the odd Goldbach conjecture would be proven or disproven. In 2013, Harald Helfgott proved Goldbach's weak conjecture for all cases. Let A...

necessarily distinct) for n > 2. The Lemoine conjecture is similar to but stronger than Goldbach's weak conjecture. For example, the odd integer 47 can be...

2019) Main conjecture in Vinogradov's mean-value theorem (Jean Bourgain, Ciprian Demeter, Larry Guth, 2015) Goldbach's weak conjecture (Harald Helfgott...

Elliott–Halberstam conjecture and its generalized form, the Polymath Project wiki states that the bound is 12 and 6, respectively. A strengthening of Goldbach’s conjecture...

from the generalized Riemann hypothesis, and (trivially) from Goldbach's weak conjecture. Schnirelmann's constant Deshouillers, J.-M.; Effinger, G.; te...

names. Deligne's conjecture on 1-motives Goldbach's weak conjecture (proved in 2013) Sensitivity conjecture (proved in 2019) The conjectures in following...

of Vinogradov's theorem, whereas the full result follows from Goldbach's weak conjecture. In turn, Ramaré's result was strengthened by Terence Tao who...

Goldbach's weak conjecture also follows from the generalized Riemann hypothesis. The yet to be verified proof of Harald Helfgott of this conjecture verifies...

Christian Goldbach conjectures that every even number greater than two can be expressed as the sum of two primes, now known as Goldbach's conjecture. 1770...

BOINCstats/BAM!". boincstats.com. Retrieved 2020-03-28. "Goldbach's Conjecture website". Goldbach.pl. Retrieved 2012-06-18. "Golem@home — Concluded". Golem@home...

with ⁠ p {\displaystyle p} ⁠ itself a prime. Christian Goldbach formulated Goldbach's conjecture, that every even number is the sum of two primes, in a...

is at most some constant value? The case, k = 1, is a weaker version of the Goldbach conjecture. Some progress has been made on the cases k = 2 to 7....

results were superseded by Chen's theorem, and the second by Goldbach's weak conjecture ( C = 3 {\displaystyle C=3} ). Viggo Brun (1915). "Über das Goldbachsche...

statement is known. One weak counterexample begins by taking some unsolved problem of mathematics, such as Goldbach's conjecture, which asks whether every...

Sophie Germain prime Cunningham chain Goldbach's conjecture Goldbach's weak conjecture Second Hardy–Littlewood conjecture Hardy–Littlewood circle method Schinzel's...

least 3; Goldbach's conjecture implies that this is the constant's actual value. In 2013, Harald Helfgott proved Goldbach's weak conjecture for all odd...

have been used to empirically verify prime-related conjectures. For example, Goldbach's weak conjecture was verified in 2008 up to 8.875 × 1030 using prime...

Bertrand's postulate at Prime Pages glossary. H. Ricardo (2005), "Goldbach's Conjecture Implies Bertrand's Postulate", Amer. Math. Monthly, 112: 492 Hugh...

Legendre's conjecture, proposed by Adrien-Marie Legendre, states that there is a prime number between n 2 {\displaystyle n^{2}} and ( n + 1 ) 2 {\displaystyle...

even known whether either a proof or a disproof of Goldbach's conjecture must exist (the conjecture may be undecidable in traditional ZF set theory). Thus...

concerned with the additive structure of the integers, such as Goldbach's conjecture that every even number greater than 2 is the sum of two primes....

in public, and named after their maker (for example, Goldbach's conjecture and Collatz conjecture). The term hypothesis is also used in this sense (for...