The Collatz conjecture is the simplest open problem in mathematics. You can explain it to all your non-mathematical friends, and even to small children who have just learned to divide by 2.

Definition: Theorem, Lemma, Proposition, Corollary, Postulate, Statement, Fact, Observation, Expression, Fact, Property, Conjecture and Principle Most of the time a mathematical …

I don't understand this math question for my discrete math 2 class. FOrmulate a conjecture about the decimal digits that appear as the final decimal digit of the fourth power of an integer. Prove...

The Goldbach Conjecture by Yuan Wang. From the book's description: A detailed description of a most important unsolved mathematical problem - the Goldbach conjecture. Raised in 1742 in a …

@PVAL-inactive Kirby's list is a great resource! The cabling conjecture being solved for alternating knots is a good addition. The other problem about amphichiral knots has actually …

Nov 17, 2016 · A conjecture is an opinion or conclusion formed on the basis of incomplete information. Now the question which is stuck in my mind is: What is the use of conjectures in …

Mar 27, 2019 · 49 Recently I was browsing math Wikipedia, and found that Harald Helfgott announced the complete proof of the weak Goldbach Conjecture in 2013, a proof which has …

Perelman ended up proving the Poincare conjecture by proving a stronger result, the geometrization conjecture, which is the analogue for 3-manifolds of the uniformization …

It is known that the set of shifted primes, generates a subgroup of the multiplicative group of rational numbers of index at most $3$. I would like to know what progress has been made …

This is something that confuses me. I have read a few mathematical texts and they often seem to use Lemma/Proposition/Theorem if they have a particular statement. Now, which one to use? …