| 1. Can we arrange 5 points in space to form a pentagon with equal sides such that the angle between each pair of adjacent edges is 90o? | |
| 2. Show that the n digits after the decimal point in (5 + √26)n are all equal. | |
| 3. Do there exist two infinite sets of non-negative integers such that every non-negative integer can be uniquely represented in the form a + b with a in A and b in B? |
The original problems are in Hungarian. Many thanks to Péter Dombi for the translation.
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(C) John Scholes
jscholes@kalva.demon.co.uk
19 Apr 2003
Last corrected/updated 19 Apr 2003