Factorization of Fermat number F[8]=2^(2^8)+1
http://en.wikipedia.org/wiki/Fermat_number
Maple:
> restart;
> st := time():
ifactor(2^(2^8)+1);
time() - st;
(1238926361552897) (934616397153579777691635581996068965840512\
37541638188580280321)
230.897
Maxima:
(%i1) if showtime#false then showtime:false else showtime:all$
Evaluation took 0.0000 seconds (0.0000 elapsed)
(%i2) factor(2^(2^8)+1);
Evaluation took 3.7800 seconds (3.7800 elapsed)
(%o2)
1238926361552897*93461639715357977769163558199606896584051237541638188580280321
(%i3) 230.897/3.78;
(%o3) 61.08386243386244
Conclusion: for factorizing integers maple is 61 slower than maxima.
A D