Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1998 APMO Problems/Problem 2

Revision as of 11:29, 22 July 2021 by Johnroo2 (talk | contribs) (Created page with "== Problem == Show that for any positive integers <math>a</math> and <math>b</math>, <math>(36a + b)(36b + a)</math> cannot be a power of 2.")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Show that for any positive integers $a$ and $b$, $(36a + b)(36b + a)$ cannot be a power of 2.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1998_APMO_Problems/Problem_2&oldid=158889"