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... repeat every 1,500 times, the last four every 15,000, the last five every 150,000,, and finally after the computer ran for nearly three hours a repetition of the last six digits appearedat the 1,500,000th Fibonacci number. Mr. Geller comments: "There does not yet seem to be any way of guessing the n ...
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... 7. Call a number “prime-looking” if it is composite but not divisible by 2, 3, or 5. The three smallest prime-looking numbers are 49, 77, and 91. There are 168 prime numbers less than 1000. How many prime-looking numbers are there less than 1000? (Recall that a composite number is any integer greate ...
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... 9, or 10, with each number entered on four slips. Four slips are drawn from the hat at random and without replacement. Let p be the probability that all four slips bear the same number. Let q be the probability that two of the slips bear a number a and the other two bear a number b 6= a. What is the ...
