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2023 SSMO Relay Round 5 Problems/Problem 2

Revision as of 22:30, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>T=</math> TNYWR. Let <math>a_n = \text{lcm} \{1, 2, \dots n\}</math> for positive integers <math>n</math>.Compute <cmath>\sum_{i=1}^N a_i \pmod {720}.</c...")
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Problem

Let $T=$ TNYWR. Let $a_n = \text{lcm} \{1, 2, \dots n\}$ for positive integers $n$.Compute \[\sum_{i=1}^N a_i \pmod {720}.\]

Solution

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