MathDB
2013 HMMT Guts #35: Partitioning 2013 into Prime Numbers

Source:

March 26, 2013
HMMTlogarithmsfloor functionfunctiongeometrygeometric transformationreflection

Problem Statement

Let PP be the number of ways to partition 20132013 into an ordered tuple of prime numbers. What is log⁡2(P)\log_2 (P)? If your answer is AA and the correct answer is CC, then your score on this problem will be ⌊1252(min⁡(CA,AC)−35)⌋\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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