Saturday, 5 December 2015

elementary number theory - Calculate the last digit of 3347



I think i know how to solve it but is that the best way? Is there a better way (using number theory).

What i do is:
knowing that



1st power last digit: 3
2nd power last digit: 9
3rd power last digit: 7
4rh power last digit: 1
5th power last digit: 3



3347=3569+2=(35)6932=332=33=27 so the result is 7.


Answer



How about
321(mod10)
so
334732173+13(1)17337(mod10)


No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...