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:
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.
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