red and blue so that no Pythagorean triples consist of all red or all blue members. The Boolean Pythagorean triples problem was solved by Marijn Heule...

Primitive Pythagorean triples have been used in cryptography as random sequences and for the generation of keys. Boolean Pythagorean triples problem Brahmagupta...

Solver Competition. Cube-and-Conquer was used to solve the Boolean Pythagorean triples problem. Cube-and-Conquer is a modification or a generalization of...

Lee, 2017) Boolean Pythagorean triples problem (Marijn Heule, Oliver Kullmann, Victor W. Marek, 2016) Sensitivity conjecture for Boolean functions (Hao...

Oliver; Marek, Victor W. (2016). "Solving and Verifying the Boolean Pythagorean Triples Problem via Cube-and-Conquer". Theory and Applications of Satisfiability...

solvers to resolve mathematical conjectures such as the Boolean Pythagorean triples problem, Schur's theorem number 5, and Keller's conjecture in dimension...

the Boolean Pythagorean triples problem required the generation of 200 terabytes of proof. 2017 Marijn Heule, who coauthored solution to the Boolean Pythagorean...

is an upper bound for a problem related to Ramsey theory. Another large example is the Boolean Pythagorean triples problem. Theorems in Ramsey theory...

hulls. He also began the study of primefree sequences, the Boolean Pythagorean triples problem, the biggest little polygon, and square packing in a square...

Pythagorean Triangles is a book on right triangles, the Pythagorean theorem, and Pythagorean triples. It was originally written in the Polish language...

numbers 1 through n such that every Pythagorean triple is multicolored, i.e. where the Boolean Pythagorean triples problem becomes false. The 200-terabyte...

classification of finite simple groups. The Kepler conjecture. The Boolean Pythagorean triples problem. British Museum algorithm Computer-assisted proof Enumerative...

normal magic square and n-Queens Problem for n = 25. Also the first counterexample in the Boolean Pythagorean triples problem. 7832 - pronic number 7841 –...

problem was solved using a SAT-solver. The full conjecture was later solved by Terence Tao without computer assistance. Boolean Pythagorean triples problem...

moment of inertia to the size (length). There are infinitely many Pythagorean triples, sets of three positive integers such that the sum of the squares...

1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most ancient and widespread...

Paul Sally (2007). "Chapter 3: Pythagorean triples". Roots to research: a vertical development of mathematical problems. American Mathematical Society...

cut and rearranged to form one another. For example, Euclid stated the Pythagorean theorem as "the square on the hypotenuse is equal to the squares on the...

Vija-Ganita, which contain problems dealing with determinate and indeterminate linear and quadratic equations, and Pythagorean triples and he fails to distinguish...

Plimpton 322 Babylonian tablet records the oldest known examples of Pythagorean triples. 1800 BC – Egypt, Moscow Mathematical Papyrus, finding the volume...

from 2000 to 1800 BC. Many early texts mention Pythagorean triples and so, by inference, the Pythagorean theorem seems to be the most ancient and widespread...

powers of 4 (45 + 40); Jacobsthal-Lucas number; hypotenuse of primitive Pythagorean triangle 1026 = sum of two distinct powers of 2 (1024 + 2) 1027 = sum...

equations, in the form of problems relating the areas and sides of rectangles, are solved by Babylonians. 2000 BC: Pythagorean triples are first discussed in...

IEEE Transactions. C (21): 1197–1206. Church, A. (1936). "An unsolvable problem of elementary number theory (first presented on 19 April 1935 to the American...

mean) is one of several kinds of average, and in particular, one of the Pythagorean means. Typically, it is appropriate for situations when the average of...

mathematician – Pythagorean theorem, Pythagorean triple, Pythagorean tuning, Pythagorean expectation, Pythagorean hammers, Pythagorean trigonometric identity...

quadratic equation. c. 1800 BC The Plimpton 322 tablet gives a table of Pythagorean triples in Babylonian Cuneiform script. 1800 BC Berlin Papyrus 6619 (19th...

nanotechnology Theano (6th century BC), one or possibly two different Pythagorean philosophers Diana Thomas, American mathematician who studies nutrition...