Difference between revisions of "2023 SSMO Relay Round 5 Problems/Problem 2"
(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== | ==Problem== | ||
| − | Let <math>T=</math> | + | Let <math>T=TNYWR</math>. 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}.</cmath> |
==Solution== | ==Solution== | ||
Latest revision as of 19:20, 2 May 2025
Problem
Let 
. Let 
for positive integers 
.Compute ![\[\sum_{i=1}^N a_i \pmod {720}.\]](http://latex.artofproblemsolving.com/3/3/0/330b3e663b7ac46c9d910dff55a19680607fe6cf.png)
