2016 William Lowell Putnam Mathematics Competition

putnam_2016_at_uml

Twenty-one UMass Lowell students competed in the 2016 William Lowell Putnam Mathematics Competition on Saturday, December 3. The competition took place concurrently throughout the US and Canada. Last year 4275 students students from 554 colleges and universities competed participated. There were two 3 hour sessions, each with six problems. As usual, the problems were tough. The consensus of students at the end was that this problem was one of the easiest:

Suppose that S is a finite set of points in the plane such that the area of triangle ABC is at most 1 whenever A, B, and  are in S. Show that there exists a triangle of area 4 that (together with its interior) covers the set S.

 

Thanks to the Honors College for providing refreshments for the students on the day of the event.

Results are normally announced in late March.

2015 William Lowell Putnam Mathematics Competition

Twenty-four UMass Lowell students competed in the 2015 William Lowell Putnam Mathematics Competition on Saturday, December 5. The competition took place concurrently throughout the US and Canada. Normally, around 5,000 students compete each year. There were two 3 hour sessions, each with six problems. As usual, the problems were tough. The consensus of students at the end was that this was the easiest.

Given a list of the positive integers 1, 2, 3, 4, …, take the first three numbers 1,2,3 and their sum 6 and cross all four numbers off the list. Repeat with the three smallest remaining numbers 4, 5, 7 and their sum 16. Continue in this way, crossing off the three smallest remaining numbers and their sum, and consider the sequence of sums produced: 6, 16, 27, 36,…. Prove or disprove that there is some number in this sequence whose base 10 representation ends with 2015.
Thanks to the Honors College for providing refreshments for the students on the day of the event.
Results are normally announced in late March.

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