Appendix A2

A summary of Euler lengths for powers ranging from 4 to 32 may be found in the Microsoft Excel spreadsheet file available here. If you want to help extend any of the tables, please use the upper bounds that can be found in the estimate file available here. I have recently managed to extend the upper bounds to bases above 40 (the limit of Ultrabasic) by using a Unix/C implementation of my estimation algorithm.

For each power, a list of the corresponding Euler representations can be found in the following files. Asterisks indicate that co-incidences exist, i.e. multiple Euler representations. Other notation is used occasionally, and I hope that the meaning is obvious from the context.

Hyperlink to File

Last updated

 

Hyperlink to File

Last updated

 

4th Powers

29/01/2001

 

5th Powers

29/01/2001

 

6th Powers

29/01/2001

 

7th Powers

29/01/2001

 

8th Powers

18/07/2003

 

9th Powers

29/01/2001

 

10th Powers

11/06/2001

 

11th Powers

08/06/2000

 

12th Powers

08/06/2000

 

13th Powers

29/01/2001

 

14th Powers

29/01/2001

 

15th Powers

29/01/2001

 

16th Powers

29/01/2001

 

17th Powers

29/01/2001

 

18th Powers

29/01/2001

 

19th Powers

09/06/2000

 

20th Powers

29/01/2001

 

21st Powers

29/01/2001

 

22nd Powers

18/07/2003

 

23rd Powers

18/07/2003

 

24th Powers

18/07/2003

 

25th Powers

14/07/2000

 

26th Powers

14/07/2000

 

27th Powers

14/07/2000

 

28th Powers

03/07/2000

 

29th Powers

12/06/2000

 

30th Powers

21/06/2000

 

31st Powers

03/07/2000

 

32nd Powers

14/07/2000

 

 

 

 

 

URL : www.glasgowg43.freeserve.co.uk/appenda2.htm

Last updated : 18/07/2003