Putnam Exam A1 - Putnam Polynomials Puzzle

YouTube·Test Prep

Explore a detailed solution to Problem A1 from the 2016 Putnam competition in this 29-minute video. Learn how to determine the smallest positive integer j for which the jth derivative of any polynomial with integer coefficients is divisible by 2016 when evaluated at any integer k. Follow along as the instructor uses sigma notation to simplify the problem and employs binomial coefficients to reach the solution. Gain insights into advanced mathematical techniques used in competitive mathematics, including strategies for tackling Putnam exam problems. Perfect for those preparing for math competitions or looking to enhance their problem-solving skills in higher-level mathematics.