Until recently, the most famous conjecture was Fermat's Last Theorem. the conjecture, after which it is sometimes referred to as a false conjecture (cf.
en.wikipedia.org/wiki/Conjecture
A famous conjecture concerning Gaussian Elimination was recently "settled" as false, by a counterexample found on a Cray supercomputer.
citeseer.ist.psu.edu/338161.html
brown.dvi (PDF File)
2, APRIL 2002 89 most famous false conjectures in the history of mathematics. So let’s talk briefly about them now. A Latin square of order n is an n × n array with entries from the set [1..n] such that each element of [1..n] appears in each row and each column of the array exactly once.
www.math.vt.edu/people/brown/doc/731.pdf
Jun 8, 2009 For instance, there is Grothendieck's famous (short) paper on why "Hodge's general conjecture is false for trivial reasons".
blog.computationalcomplexity.org/2009/06/are-there-any-... blog.computationalcomplexity.org/2009/06/are-there-any-longstanding-conjectures.html
prove some very famous open conjectures). If you find out that a conjecture is false, try to modify it so that it will be true.
faculty.wheelock.edu/dborkovitz/content/numtheory/num4.... faculty.wheelock.edu/dborkovitz/content/numtheory/num4.pdf
Evolution is simply a theory that was developed one hundred forty years ago by Charles Darwin, before science had the evidence available to prove the theory false. His famous book, On the Origin of Species by Means of Natural Selection, has a title that is now known to be scientifically false.
www.biblelife.org/evolution.htm
A famous conjecture is the Riemann hypothesis, which continues to resist proof. Not every conjecture ends up being proven true or false.
encyclopedia.stateuniversity.com/pages/4935/conjecture.... encyclopedia.stateuniversity.com/pages/4935/conjecture.html
Conjecture - Famous conjectures: Encyclopedia II - Conjecture - Undecidable conjectures. Not every conjecture ends up being proven true or false.
www.experiencefestival.com/conjecture_-_famous_conjectu... www.experiencefestival.com/conjecture_-_famous_conjectures
On the positive side, there is a biggest finite group R(r, n) in r generators of exponent n. Zelmanov got the Fields medal for this result, which gives a positive solution to the so-called restricted Burnside problem. Then, for r>1, B(r,M) It has also been shown more recently that, for e > 8000, a group defined by any...
www.math.niu.edu/~rusin/known-math/99/burnside
profmat.PDF (PDF File)
Sketchpad is very accurate and extremely useful for exploring the validity of conjectures, one could still make false conjectures with it if one is not very careful.
mzone.mweb.co.za/residents/profmd/profmat.pdf