Answer to Question #106121 in Algebra for Riya

Question

Give an example each of a theorem and a mathematical conjecture? Justify your
examples.

Answer 1

A theorem is statement that has been proven to be true on the basis of generally assepted statements. For example the Pythagorean theorem.

A conjecture is a proposition which is suspected to be true, but for which no proof has yet been found. For example the Collatz hypothesis.