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

2014 AIME II Problems/Problem 15

Revision as of 10:52, 28 March 2014 by Suli (talk | contribs)

Solution

Note that in base 2 $a_1$ = 2, $a_10$ = 3, $a_11$ = 2 * 3 = 6, ..., $a_10010101$ = 2 * 5 * 11 * 19 = 2090. Thus, t = 10010101 (base 2) = $\boxed{149}$.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2014_AIME_II_Problems/Problem_15&oldid=61239"