IBM Research

PUZZLE   IBM-147

1,000,000,000 divides round((1+2cos(20))**n)

IBM Research · Ponder This · 2010-07

IBM Ponder This #147 · July 2010

Find a natural number n for which the expression round((1+2cos(20 degrees))^n) is divisible by 1,000,000,000.

Solution

Best opened after a real attempt

To be added.