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Dominating set, a.k.a. domination number [3]: GT2 NP-complete special cases include the edge dominating set problem, i.e., the dominating set problem in line graphs. NP-complete variants include the connected dominating set problem and the maximum leaf spanning tree problem. [3]: ND2 Feedback vertex set [2] [3]: GT7
Gauss class number problem (low class number lists) For given low class number (such as 1, 2, and 3), Gauss gives lists of imaginary quadratic fields with the given class number and believes them to be complete.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
As an example, 9 780 657 631 has 1132 ... numbers will always lead to a smaller number after a certain number of iterations: for example, ... Collatz problem is the ...
The problem is known to undergo a "phase transition"; being likely for some sets and unlikely for others. If m is the number of bits needed to express any number in the set and n is the size of the set then / < tends to have many solutions and / > tends to have few or no solutions. As n and m get larger, the probability of a perfect partition ...
The other six Millennium Prize Problems remain unsolved, despite a large number of unsatisfactory proofs by both amateur and professional mathematicians. Andrew Wiles , as part of the Clay Institute's scientific advisory board, hoped that the choice of US$ 1 million prize money would popularize, among general audiences, both the selected ...
For example, 5 is a congruent number because it is the area of a (20/3, 3/2, 41/6) triangle. ... Unsolved Problems in Number Theory, Problem Books in Mathematics ...
5 Analytic number theory: additive problems. 6 Algebraic number theory. 7 Quadratic forms. 8 L-functions. 9 Diophantine equations. 10 Diophantine approximation. 11 ...