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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: solution (zero or not) | Comment 3 of 6 |
(In reply to solution by Charlie)

I considered, but decided not to include  N=1 on my list.  Hence 1621 was 54th of my list.  Of course the left hand sides would all be zero, in that case, and hence divisible by anything.

 


  Posted by ed bottemiller on 2010-10-29 12:08:23
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