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55th in the list (Posted on 2010-10-28) Difficulty: 2 of 5
List all the numbers below 2010 having all the following features:

1. n-1 is a multiple of 3.

2. n^2-1 is a multiple of 8.

3. n^3-1 is a multiple of 10.

If you arrange this list in an ascending order, what number will be in the 55th place?

No Solution Yet Submitted by Ady TZIDON    
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re(3): solution (zero or not) SPOILER | Comment 5 of 6 |
(In reply to re(2): solution (zero or not) SPOILER by Ady TZIDON)

technically, nothing is said to disallow negative numbers.  Thus the list is infinite and has no smallest value.  Thus asking for the 55th value is meaningless, although one could argue that the limiting value of the 55th is -infinity.
  Posted by Daniel on 2010-10-29 16:19:46

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