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Theorem:  A theorem is a statement that has been proven to be true or proposed as a demonstrable truth.
 A theorem consists of a conclusion depending on a hypothesis. It begins with certain assumptions that are necessary and sufficient to establish a result.One of the most famous and well-known theorems in mathematics is the Pythagorean Theorem. It states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs. Although the Babylonians may have been aware of this statement because they were using its converse (If the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs, then the triangle is a right triangle) more than 1300 years before Pythagoras. Pythagoras (580-496 B.C.), a Greek mathematician, was the first to prove this statement, so it has become known as the Pythagorean Theorem.Angle-Angle (AA), Side-Angle-Side (SAS), Side-Side-Side (SSS) similarity theorems and Side-Angle-Side (SAS), Side-Side-Side (SSS), Angle-Angle-Side (AAS), Angle-Side-Angle (ASA) congruency thoerems are also among the well-known theorems in geometry.One of the most famous unproved theorems is that "Twin Primes occur infinitely." Twin primes are primes that are 2 integers apart (e.g., 5 & 7, 17 & 19, 101 & 103) theorems is that "Twin Primes occur infinitely." Twin primes are primes that are 2 integers apart (e.g., 5 & 7, 17 & 19, 101 & 103).