APPENDIX 3

The Four Fours Problem—Examples

This very old problem consists of expressing successive
integers (up to a specified limit) in the appropriate mathe-
matical form, using only four fours in each expression to-
gether with any necessary signs. This throws an interesting

light upon the construction of numbers and a few examples
are therefore given below:

 

I=%Xi 13-——\/;—#\/_;-}—%
2=i+% 14=4 ><4——\%
3=4+i+4 I5:4X4_§
ZT%}X_\%Z 16=4+4+4+4
5=Va+Vat: 17 =4 X4+
4 4
O e
7= =7+
8=%} +4 20=4(4 +§}>
kS
9=4+4+% 21:%&