The Sum and Product Puzzle, also known as the Impossible Puzzle because it seems to lack sufficient information for a solution, is a logic puzzle. It was first published in 1969 by Hans Freudenthal,[1][2] and the name Impossible Puzzle was coined by Martin Gardner.[3] The puzzle is solvable, though not easily. There exist many similar puzzles.
^Hans Freudenthal, Nieuw Archief Voor Wiskunde, Series 3, Volume 17, 1969, page 152
^Born, A.; Hurkens, C. A. J.; Woeginger, G. J. (2006). "The Freudenthal problem and its ramifications (Part I)" (PDF). Bulletin of the European Association for Theoretical Computer Science, EATCS. 90: 175–191.
^Gardner, Martin (December 1979), "Mathematical Games: A Pride of Problems, Including One That Is Virtually Impossible", Scientific American, 241: 22–30, doi:10.1038/scientificamerican0979-22.
and 24 Related for: Sum and Product Puzzle information
repeated in any row or column. Impossible Puzzle, or "SumandProductPuzzle", which is not impossible -gry, a word puzzle List of undecidable problems, no algorithm...
Chevallard, Luis Radford and Frederick Leung. The asteroid 9689 Freudenthal is named after him. Freudenthal algebra SumandProductPuzzle Streefland, Leen,...
leaning on her gate and asks about her children. She says, "I have three children and the product of their ages is seventy–two. The sum of their ages is...
the most well known puzzles that played a role in the development of DEL. Other significant puzzles include the sumandproductpuzzle, the Monty Hall dilemma...
for the puzzle, and the limitation of one puzzle per day. By January 2021, Wardle had published Wordle on the web, mostly shared with himself and his partner...
A Survo puzzle is a kind of logic puzzle presented (in April 2006) and studied by Seppo Mustonen. The name of the puzzle is associated with Mustonen's...
The equity premium puzzle refers to the inability of an important class of economic models to explain the average equity risk premium (ERP) provided by...
paper award. In spring 2004, the problem appeared in Joe Buhler and Elwyn Berlekamp's puzzle column of the quarterly The Emissary of the Mathematical Sciences...
sufficiently large even number can be written as the sum of a prime and a semiprime (the product of two primes) – e.g., 100 = 23 + 7·11. Despite being...
mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence...
the sum of the areas of the squares on the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse...
Sudoku puzzles to answer questions such as "How many filled Sudoku grids are there?", "What is the minimal number of clues in a valid puzzle?" and "In what...
A balance puzzle or weighing puzzle is a logic puzzle about balancing items—often coins—to determine which holds a different value, by using balance scales...
proton and electron) is 0.782343 MeV. That is the difference between the rest mass of the neutron and the sum of the rest masses of the products. That...
Combination Costas array Cycle index Cycle notation Cycles and fixed points Cyclic order Direct sum of permutations Enumerations of specific permutation classes...
repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing digits, on each iteration...
the 15 puzzle, a famous example of the sliding puzzle, can be represented by the alternating group A15, because the combinations of the 15 puzzle can be...
single term x appears in a sum n times, then the sum is the product of n and x. If n is not a natural number, the product may still make sense; for example...
investment type insurance products (e.g. annuities). Zelder paradox zero-sum game In game theory and economic theory, a zero-sum game is a mathematical representation...
problems in more detail and lists numerous additional open problems. List of sums of reciprocals 17-animal inheritance puzzle Dick & Ogle (2018); Koshaleva...
Rowan Hamilton, who invented the icosian game, now also known as Hamilton's puzzle, which involves finding a Hamiltonian cycle in the edge graph of the dodecahedron...
always gives another bijection, the product of two permutations is again a permutation. In two-line notation, the product of two permutations is obtained...
Global Information