INFINITY-INFINITY-MATH-ERROR
Number Theory
Level
pending
Find the remainder if 7^7^7 is divided by 11.
The answer is 2.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
note that 7^5 is congruent -1mod11. also 7^7=823543=5*(2k)+3 for some k which we do not need here. therefore 7^7^7 is congruent mod ( (-1)^2k)+7^3 is congruent to 2 mod 11