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...

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...

{\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...

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...

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...

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...

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...

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

of terms. However, the terms in the sequence grow very rapidly; Cramér's conjecture implies the sequence grows tetrationally. It has been estimated that...

Kane (2007). Abbott, Erdős, and Hanson note that, conditional on Cramér's conjecture on gaps between consecutive primes, N ( a ) = O ( ( log ⁡ a ) 2 /...

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...

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

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

}} 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 )...

{\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...

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...

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

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...

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

powers conjecture – disproved for exponents 4 and 5 during the 20th century; unsolved for higher exponents Euler's Graeco-Latin square conjecture – proved...

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...

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...

was put forth by Juan Maldacena and Leonard Susskind in their ER = EPR conjecture. The quantum foam hypothesis is sometimes used to suggest that tiny wormholes...

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...

such [intentional] misconduct. The Court cannot accept speculation or conjecture in place of clear and convincing evidence". The judge further ruled that...

two, Candide is unambiguous as to which is its subject. Some critics conjecture that Voltaire meant to spare Pope this ridicule out of respect, although...

mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses." The French scientist Joseph-Louis Lagrange described...