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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 ...
(Hint: “Time” for some hard math puzzles.) Answer: 11. Replace the compass rose with a clock on military time. The red tip of the compass needle points to the hour in the afternoon from 13 to ...
The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number, and there are many questions about primes that appear simple but whose resolution continues to elude mathematicians. List of algebraic number theory topics; List of number theory topics
-10 Questions 1968–1972: 35-5 Questions 1973 Annual High School Mathematics Examination 35 1974–1982: 30-5 Questions 1983–1999 American High School Mathematics Examination 30 AIME introduced in 1983, now is a middle step between AHSME and USAMO. AJHSME, now AMC 8, introduced in 1985 2000–present American Mathematics Competition 25 -5 ...