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The top three individuals and the top team (determined based on the scores of the top three individuals) will advance to the next round. In addition, within each region, the highest-scoring second place team from all district competitions advances as the "wild card" to regional competition (provided the team has four members), and within the state, the highest-scoring second place team from ...
The competition consists of 15 questions of increasing difficulty, where each answer is an integer between 0 and 999 inclusive. Thus the competition effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated grading; answers are entered onto an OMR sheet, similar to the way grid-in math questions are answered on the SAT.
The word integer comes from the Latin integer meaning "whole" or (literally) "untouched", from in ("not") plus tangere ("to touch"). "Entire" derives from the same origin via the French word entier, which means both entire and integer. [9] Historically the term was used for a number that was a multiple of 1, [10] [11] or to the whole part of a ...
By the fundamental theorem of arithmetic, every positive integer has a unique prime factorization. (By convention, 1 is the empty product.) Testing whether the integer is prime can be done in polynomial time, for example, by the AKS primality test. If composite, however, the polynomial time tests give no insight into how to obtain the factors.
The smallest integer m > 1 such that p n # + m is a prime number, where the primorial p n # is the product of the first n prime numbers. A005235 Semiperfect numbers
When n is a natural number (i.e., a positive integer), exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: = ⏟ Roots are the opposite of exponents.