35

Part of 2013 Harvard-MIT Mathematics Tournament

Problems(1)

2013 HMMT Guts #35: Partitioning 2013 into Prime Numbers

Source:

P

be the number of ways to partition

2013

into an ordered tuple of prime numbers. What is

\log_2 (P)

? If your answer is

A

and the correct answer is

C

, then your score on this problem will be

\left\lfloor\frac{125}2\left(\min\left(\frac CA,\frac AC\right)-\frac35\right)\right\rfloor

or zero, whichever is larger.

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