2021-2022 Math Prize Problem #4

Each month the Mathematics Department offers a math prize problem – a mathematical brain teaser – with a first prize of $25, a second prize of $15, and, of course, bragging rights. These problems do not require advanced knowledge of mathematics, just a curious mind and a willingness to slug it out with the problem.

How many of the numbers 1, 2, 3,…, 5000 are not divisible by any of the numbers 3, 7 and 11?

 

Submit a solution to this problem to Prof. Ken Ching (kching@mmm.edu, CH 614) by April 20. The first correct submission will win a first prize of 25 dining dollars. All other correct submissions will receive recognition and bragging rights, and one of these submissions will be randomly selected for a second prize of 15 dining dollars. All are welcome to participate, but prizes are for MMC students only. Solution will be posted online and outside CH 603.

Happy Solving!

Contact

kching@mmm.edu