One of the more dramatic successes of his theory was his prediction of the existence of secondary and tertiary alcohols, a conjecture that was soon confirmed by the synthesis of these substances.

His attitude towards conjectures was that one should not dignify a guess as a conjecture lightly, and in the Taniyama case, the evidence was only there after extensive computational work carried out from the late 1960s.

‘‘ The most prevalent conjecture was that they were some of the German peoples which extended as far as the northern ocean ,</ br >

Although Tiberius was 77 and on his death bed, some ancient historians still conjecture that he was murdered.

The most celebrated single question in the field, the conjecture known as Fermat's Last Theorem, was solved by Andrew Wiles but using tools from algebraic geometry developed during the last century rather than within number theory where the conjecture was originally formulated.

Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.

The conjecture was disproven by L. J. Lander and T. R. Parkin in 1966 when they found the following counterexample for k

* In the 1960s, EDSAC was used to gather numerical evidence about solutions to elliptic curves, which led to the Birch and Swinnerton-Dyer conjecture.

The conjecture was first proposed in 1852 when Francis Guthrie, while trying to color the map of counties of England, noticed that only four different colors were needed.

This formula, the Heawood conjecture, was conjectured by P. J.

In 1973 the number theorist Hugh Montgomery was visiting the Institute for Advanced Study and had just made his pair correlation conjecture concerning the distribution of the zeros of the Riemann zeta function.

Gin, though, was blamed for various social problems, and it may have been a factor in the higher death rates which stabilized London's previously growing population, although there is no evidence for this and it is merely conjecture.

But Steinschneider will not admit the possibility of this conjecture, while Renan scarcely strengthens it by regarding " Andreas " as a possible northern corruption of " En Duran ," which, he says, may have been the Provençal surname of Anatoli, since Anatoli, in reality, was but the name of his great-grandfather.

In fact, whether one can smooth certain higher dimensional spheres was, until recently, an open problem — known as the smooth Poincaré conjecture.

Yusuf Ali ’ s translation reads " That they said ( in boast ), " We killed Christ Jesus the son of Mary, the Messenger of Allah ";― but they killed him not, nor crucified him, but so it was made to appear to them and those who differ therein are full of doubts, with no ( certain ) knowledge, but only conjecture to follow, for of a surety they killed him not .― ( 157 ) Nay, Allah raised him up unto Himself ; and Allah is Exalted in Power, Wise.

" And while the conjecture may one day be solved, the argument applies to similar unsolved problems ; to Brouwer, the law of the excluded middle was tantamount to assuming that every mathematical problem has a solution.

He was awarded the Bôcher Memorial Prize in mathematical analysis in 1964 for his paper " On a conjecture by Littlewood and idempotent measures ", and lends his name to the Cohen-Hewitt factorization theorem.

The Poincaré conjecture, before being proven, was one of the most important open questions in topology.

He picked up another credited Weil conjecture, around 1967, which later under pressure from Serge Lang ( resp.

This conjecture is also supported by other letters Galois later wrote to his friends the night before he died.

Some months later, FitzGerald published his conjecture in Science to explain the baffling outcome of the 1887 ether-wind experiment of Michelson and Morley.

However, the character was popular, so some fans held that he had somehow escaped " off-screen ", and later books, graphic novels, and even an official action figure accepted this conjecture and depicted Boba Fett as having escaped the ordeal.

( Gauss ' conjecture was proven more than one hundred years later by Heegner, Baker and Stark.

The conjecture was later generalized by replacing Q by a finite extension.

** Priory of Sion: works such as Holy Blood, Holy Grail, which conjecture that Jesus Christ may have married Mary Magdalene, who later moved to France and gave birth to the line of Merovingian Kings

He later developed a program to prove the geometrization conjecture by Ricci flow with surgery.

Already in 1955, Jean-Pierre Serre had used the analogy of vector bundles with projective modules to formulate Serre's conjecture, which states that every finitely generated projective module over a polynomial ring is free ; this assertion is correct, but was not settled until 20 years later.

( Milin later showed that 14 can be replaced by 1. 14., and Hayman showed that the numbers b < sub > k </ sub > have a limit less than 1 if φ is not a Koebe function, so Littlewood and Paley's conjecture is true for all but a finite number of coefficients of any function.

showed using the Lebedev – Milin inequality that the Milin conjecture ( later proved by de Branges ) implies the Robertson conjecture and therefore the Bieberbach conjecture.

Karl Rubin found a more elementary proof of the Mazur-Wiles theorem by using Kolyvagin's Euler systems, described in and, and later proved other generalizations of the main conjecture for imaginary quadratic fileds.

His proof of the conjecture used techniques from the modular representation theory of groups, which he later applied to work on cohomology of groups and algebraic K-theory.

Traditional historians in particular denounced Schama's integration of fact and conjecture to produce a seamless narrative but later assessments took a more relaxed view of the experiment.

* the tendency for an initial segment of data to show some bias that drops out later ( one example in number theory being Kummer's conjecture on cubic Gauss sums )

Her descendent and biographer Charles Beauclerk calls this conjecture, based solely on what is known of her later life.

The poet's major stylistic change in his shift toward free verse roughly within a decade that included much of the 1960s, combined with the other changes in his life — his move from England to America, from academic Cambridge to bohemian San Francisco, his becoming openly gay, his drug-taking, his writing about the " urban underbelly " — caused many to conjecture how his lifestyle was affecting his work " British reviewers who opposed Gunn ’ s technical shifts blamed California, just as American critics would, later on, connect his adventurous lifestyle with his more ' relaxed ' versification ," according to Orr, who added that even as of 2009, critics were contrasting " Gunn ’ s libido with his tight metrics — as if no one had ever written quatrains about having sex before ".

In this paper he unified Gallai's result with several similar results by defining perfect graphs, and he conjectured the equivalence of the perfect graph and Berge graph definitions ; Berge's conjecture was later proven as the strong perfect graph theorem.

Paul Erdős originally offered US $ 50 for proving the conjecture in the affirmative, and later raised the reward to US $ 500.

It is however subject to conjecture whether the pre-historic Negritos 12, 000 to 15, 000 years age or the much later waves of Indonesian and Malay seafarers from 5, 000 to 300 B. C.

Borcherds was later quoted as saying " I was over the moon when I proved the moonshine conjecture ", and " I sometimes wonder if this is the feeling you get when you take certain drugs.

Wegener's conjecture, that they were composed of water ice, was later shown to be correct.

* Catalan's conjecture, a theorem conjectured in 1844 and proven in 2002

Not every conjecture ends up being proven true or false.

On the other hand, Fermat's last theorem has always been known by that name, even before it was proven ; it was never known as " Fermat's conjecture ".

This conjecture can be justified ( but not proven ) by assuming that 1 / ln t describes the density function of the prime distribution, an assumption suggested by the prime number theorem.

This formula has been rigorously proven to be asymptotically valid for c ≥ 3 from the work of Vinogradov, but is still only a conjecture when.

Catalan's conjecture ( or Mihăilescu's theorem ) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844 and proven in 2002 by Preda Mihăilescu.

Rosen's conjecture was proven in 2008 by P. L.

This conjecture is called " weak " because if Goldbach's strong conjecture ( concerning sums of two primes ) is proven, it would be true.

The conjecture has not yet been proven, but there have been some useful near misses.

* Discusses the Taniyama-Shimura-Weil conjecture 3 years before it was proven for infinitely many cases.

The Taniyama – Shimura conjecture for elliptic curves ( now proven ) establishes a one-to-one correspondence between curves defined as modular forms and elliptic curves defined over the rational numbers.

The Kepler conjecture postulated an optimal solution for packing spheres hundreds of years before it was proven correct by Thomas Callister Hales.

On the assumption of the Elliott – Halberstam conjecture it has been proven recently ( by Daniel Goldston, János Pintz, Cem Yıldırım ) that there are infinitely many primes p such that p + k is prime for some positive even k less than 16.

This conjecture has not been proven or disproven.

Neither conjecture has been proven since their conception.

The Hadwiger conjecture has been proven only for k ≤ 6, but remains unproven in the general case.

In general its properties, such as functional equation, are still conjectural – the Taniyama – Shimura conjecture ( which was proven in 2001 ) was just a special case, so that's hardly surprising.

Because the Möbius function only takes the values − 1, 0, and + 1, the Mertens function moves slowly and there is no n such that | M ( n )| > n. The Mertens conjecture went further, stating that there would be no n where the absolute value of the Mertens function exceeds the square root of n. The Mertens conjecture was proven false in 1985 by Andrew Odlyzko and Herman te Riele.

Milnor K-theory modulo 2 is related to étale ( or Galois ) cohomology of the field by the Milnor conjecture, proven by Voevodsky.

* Schanuel's conjecture ; if proven it would imply both the Gelfond – Schneider theorem and the Lindemann – Weierstrass theorem