as ln(x) or loge(x). In number theory, Cramér's conjecture, formulated by the Swedish mathematician Harald Cramér in 1936, is an estimate for the size of...

{\displaystyle (\log p)^{2}} . If Cramér's conjecture is true, Legendre's conjecture would follow for all sufficiently large n. Harald Cramér also proved that the...

included an estimate for prime gaps that became known as Cramér's conjecture. In the late 1920s, Cramér became interested in the field of probability, which...

n sufficiently large (see Legendre's conjecture). To verify this, a stronger result such as Cramér's conjecture would be needed. Huxley in 1972 showed...

bounds conjectured for prime gaps, even somewhat stronger than the Cramér and Shanks conjectures. It implies a strong form of Cramér's conjecture and is...

conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

reciprocals of the primes diverges Cramér's conjecture Riemann hypothesis Critical line theorem Hilbert–Pólya conjecture Generalized Riemann hypothesis Mertens...

to Kane (2007). Abbot, Erdős, and Hanson note that conditional on Cramér's conjecture on gaps between consecutive primes that N ( a ) = O ( ( log ⁡ a )...

using the Riemann hypothesis is far weaker than what seems true: Cramér's conjecture implies that every gap is O((log p)2), which, while larger than the...

that the infinitude of primitive weird numbers is a consequence of Cramér's conjecture. Primitive weird numbers with as many as 16 prime factors and 14712...

Andrica conjecture: p n + 1 x − p n x < 1 {\displaystyle p_{n+1}^{x}-p_{n}^{x}<1} for x < x min . {\displaystyle x<x_{\min }.} Cramér's conjecture Legendre's...

leads to a number of heuristic algorithms and open problems, notably Cramér's conjecture. Arithmetic combinatorics starts with questions like the following...

}} if n is sufficiently large. A prime gap conjecture stronger than Ingham's result is Cramér's conjecture, which asserts that g n = O ( ( log ⁡ p n )...

known to follow from the Riemann hypothesis, while the much stronger Cramér conjecture sets the largest gap size at O ( ( log ⁡ n ) 2 ) . {\displaystyle...

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

{\displaystyle (n,x)\in [0,x]\times [0,x]} . Then, assuming the Cramér's conjecture, S ( x ) = x 2 + O ( x log 3 ⁡ x ) . {\displaystyle S(x)=x^{2}+O(x\log...

them after Euler. Euler's conjecture (Waring's problem) Euler's sum of powers conjecture Euler's Graeco-Latin square conjecture Usually, Euler's equation...

other. (See Time travel using wormholes and the Chronology protection conjecture.) It has been suggested that a similar mechanism would destroy time-machine...

experimental, the justification of the truth of a theorem is purely deductive. A conjecture is a tentative proposition that may evolve to become a theorem if proven...

The dark forest hypothesis is the conjecture that many alien civilizations exist throughout the universe, but they are both silent and hostile, maintaining...

envisioned the four Impromptus as parts of a multi-movement sonata, a conjecture which is subject of debate among musicologists and scholars. Schubert...

Hölder's inequality Jackson's inequality Jensen's inequality Khabibullin's conjecture on integral inequalities Kantorovich inequality Karamata's inequality...

brings up the chronology protection conjecture and writes: "The conjecture has not been proven (it wouldn't be a conjecture if it had), but there are good...

Cox–Ingersoll–Ross model Cramér–Rao bound Cramér–von Mises criterion Cramér's decomposition theorem Cramér's theorem (large deviations) Cramér's V Craps principle...

work was the so-called Goldbach conjecture (every even integer is the sum of two primes), and also the following conjecture: every odd integer is a prime...

theorem (mathematical logic) Cramér’s decomposition theorem (statistics) Cramér's theorem (large deviations) (probability) Cramer's theorem (algebraic curves)...

solutions to the Einstein field equation. However, the chronology protection conjecture of Stephen Hawking suggests that any such closed timelike curve would...

arguments led Stephen Hawking to formulate the chronology protection conjecture, suggesting that the fundamental laws of nature prevent time travel, but...

was originally used as an adjective with the definition "pertaining to conjecturing", and stemming from a Greek word meaning "to aim at a mark, guess", and...

and Spencer have a size that is nearly linear. This bound disproved a conjecture of Paul Erdős and Pál Turán that the size of such a set could be at most...