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54 (fifty-four) is the natural number and positive integer following 53 and preceding 55. As a multiple of 2 but not of 4, 54 is an oddly even number and a composite number. 54 is related to the golden ratio through trigonometry: the sine of a 54 degree angle is half of the golden ratio.
m is a divisor of n (also called m divides n, or n is divisible by m) if all prime factors of m have at least the same multiplicity in n. The divisors of n are all products of some or all prime factors of n (including the empty product 1 of no prime factors). The number of divisors can be computed by increasing all multiplicities by 1 and then ...
Monte Carlo is a pair-matching patience or card solitaire game using a pack of 52 playing cards where the object is to remove pairs from the tableau. [1] Despite its name, it has no relation to the city with the same name nor to any casino-related game. Alternative names for this game include Good Neighbours and Weddings. [2]
Rules can be changed here too: it can be agreed before the game starts that matching pairs be any two cards of the same rank, a color-match being unnecessary, or that the match must be both rank and card suit. The game ends when the last pair has been picked up. The winner is the person with the most pairs. There may be a tie for first place.
Purble Pairs is a pattern recognition and memory game similar to Concentration. The object is to clear the tableau in the fewest turns. The object is to clear the tableau in the fewest turns. As the skill level progresses, a timer appears, the grid size increases, and more similar pictures are used.
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However, amicable numbers where the two members have different smallest prime factors do exist: there are seven such pairs known. [8] Also, every known pair shares at least one common prime factor. It is not known whether a pair of coprime amicable numbers exists, though if any does, the product of the two must be greater than 10 65.
Two numbers with the same "abundancy" form a friendly pair; n numbers with the same abundancy form a friendly n-tuple. Being mutually friendly is an equivalence relation, and thus induces a partition of the positive naturals into clubs (equivalence classes) of mutually friendly numbers. A number that is not part of any friendly pair is called ...