Difference between revisions of "2022 SSMO Relay Round 2 Problems/Problem 3"
(Created page with "==Problem== Let <math>T =</math> TNYWR. Let <math>a+b = \lfloor \sqrt{T} \rfloor</math>. If <math>a^5 + b^5 = 15</math>, then <math>ab</math> has two possible values. The abso...") |
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Latest revision as of 13:10, 14 December 2023
Problem
Let 
TNYWR. Let 
. If 
, then 
has two possible values. The absolute difference of these values is 
, where 
and 
are positive integers, 
and are relatively prime, and 
is not divisible by the square of any prime. What is 
