Problem Contest – Problem of the Week – September 16, 2003

Prime numbers and Fermat numbers.

Professor Schumer noticed that a programmer had carelessly increased the tens digit by 1 for each multi-digit Fermat number in a lengthy list produced by a computer program.

Fermat numbers are integers of the form: fermat_01 for integer n > 1

He wondered how many numbers on this new list are prime?  What is the answer to Mr. Schumer's question?

Submit written solution with justification to John Emerson, Warner 312, before 3:00 on Tuesday, September 23.  Or leave them in the Warner mailroom.

Note:  Join us at the weekly seminars, usually on Tuesday at 3:00 for refreshments.