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Difficulty:
15%
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Question Stats:
85% (00:58) correct
15%
(01:30)
wrong
based on 131
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How many pairs (n, n+1) have one or more prime factors common, where n is an integer and 2 ≤ n ≤9 ?
A. 0
B. 1
C. 2
D. 3
E. 4
Can someone have a go at this question and explain how to work this problem. The explanation simply states
A. 0
B. 1
C. 2
D. 3
E. 4
Can someone have a go at this question and explain how to work this problem. The explanation simply states
that this is a generalization of an elementary theorem in number theory.
12 May 2014, 19:19
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Quickly look at the pairs
(2,3) - nothing common
(3,4) - nothing common
(4,5) - nothing common
(5,6) - nothing common
(6,7) - nothing common
(7,8) - nothing common
(8,9) - nothing common
(9,10) - nothing common
Hence A
(2,3) - nothing common
(3,4) - nothing common
(4,5) - nothing common
(5,6) - nothing common
(6,7) - nothing common
(7,8) - nothing common
(8,9) - nothing common
(9,10) - nothing common
Hence A
