+0

# number theory

0
171
1

Find the remainder of 5^400 when divided by 18.

Jul 20, 2022

#1
0

I hope this is correct:

We can find a pattern of the remainers when powers of 5 are divided by 18. The pattern repeats after every 6 terms:

5

7

17

13

11

1

400 yields a remainder of 4 when divided by 6.

Jul 20, 2022
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}