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.

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.

This conjecture seems to be confirmed in the introduction of the first volume of the chronicles of Gallus Anonymus concerning the Pomeranians: Although often the leaders of the forces defeated by the Polish duke sought salvation in baptism, as soon as they regained their strength, they repudiated the Christian faith and started the war against Christians anew.

On July 1, 2010, he turned down the prize saying that he believes his contribution in proving the Poincaré conjecture was no greater than that of Hamilton's ( who first suggested using the Ricci flow for the solution ).

On December 22, 2006, the journal Science honored Perelman's proof of the Poincaré conjecture as the scientific " Breakthrough of the Year ", the first time this had been bestowed in the area of mathematics.

This problem seems to have lain dormant for a time, until J. H. C. Whitehead revived interest in the conjecture, when in the 1930s he first claimed a proof, and then retracted it.

Hamilton's program for proving the Poincaré conjecture involves first putting a Riemannian metric on the unknown simply connected closed 3-manifold.

In November 2002, Russian mathematician Grigori Perelman posted the first of a series of eprints on arXiv outlining a solution of the Poincaré conjecture.

The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937.

The green bar shows the failure of the Pòlya conjecture ; the blue curve shows the oscillatory contribution of the first Riemann zero.

Alternatively, the first philosopher can modify their claim so that the counterexample no longer applies ; this is analogous to when a mathematician modifies a conjecture because of a counterexample.

Together they devised the first Hardy – Littlewood conjecture, a strong form of the twin prime conjecture, and the second Hardy – Littlewood conjecture.

Shooter wrote the story in which Ferro Lad died – the first " real " death of a Legionnaire ( although Lightning Lad had been believed dead for a while before ) – and introduced many other enduring concepts, including the Fatal Five, Shadow Lass, the Dark Circle, Mordru, and the " Adult Legion ", a conjecture regarding what the Legionnaires would be like when they grew up.

The first demonstration of this conjecture was published in 2008.

The abc conjecture ( also known as Oesterlé – Masser conjecture ) is a conjecture in number theory, first proposed by and as an integer analogue of the Mason – Stothers theorem for polynomials.

Goro Shimura and Taniyama worked on improving its rigor until 1957. rediscovered the conjecture, and showed that it would follow from the ( conjectured ) functional equations for some twisted L-series of the elliptic curve ; this was the first serious evidence that the conjecture might be true.

The first conjecture ( Agrawal ’ s conjecture ) was the basis for the formulation of the first deterministic prime test algorithm in polynomial time ( AKS algorithm ).

To be considered a conjecture, a statement must usually be proposed publicly, at which point the name of the proponent may be attached to the conjecture, as with Goldbach's conjecture.

On 7 June 1742, the German mathematician Christian Goldbach ( originally of Brandenburg-Prussia ) wrote a letter to Leonhard Euler ( letter XLIII ) in which he proposed the following conjecture:

He then proposed a second conjecture in the margin of his letter:

In 2002 Dunwoody put forward a proposed proof of the Poincaré conjecture.

Pillai's conjecture concerns a general difference of perfect powers: it is an open problem initially proposed by S. S. Pillai, who conjectured that the gaps in the sequence of perfect powers tend to infinity.

They also proposed a conjecture concerning cyclic Hamiltonicity of graphs.

A well-known example is the Taniyama – Shimura conjecture, now the modularity theorem, which proposed that each elliptic curve over the rational numbers can be translated into a modular form ( in such a way as to preserve the associated L-function ).

It was proposed by, and implies several other conjectures, such as the Poincaré conjecture and Thurston's elliptization conjecture.

An alternative derivation of the town's name was made, in the late 1800s, by the historian John Jeremiah Daniell, who proposed "... the conjecture is admissible that WORGEMYN or GUERMIN is the name of an ancient Wiltshire chief, and that as Biscop-tre ( Bishopstrow ) means " the place of the bishop ", so Warminster means " the head-quarters of Worgemyn, or Guermin ".

The movement of a significant volume of water into the Earth's interior had been proposed as early as Strabo, but it was not embraced by Werner because it was associated with conjecture.

Its site became forgotten in modern times, however it has been tentatively identified with the site Zvezdë ( located at ), a conjecture already proposed by the 19th century British traveller William Martin Leake in 1835.

In mathematics, the Littlewood conjecture is an open problem () in Diophantine approximation, proposed by John Edensor Littlewood around 1930.

In mathematics, a conjecture is a mathematical statement which has been proposed as a true statement, but which no one has yet been able to prove or disprove.

In combinatorics, the Dinitz conjecture is a statement about the extension of arrays to partial Latin squares, proposed in 1979 by Jeff Dinitz, and proved in 1994 by Fred Galvin.