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Finnish National High School Mathematics Competition
2019 Finnish National High School Mathematics Comp
2
\lfloor (2+\sqrt5)^{2019} \rfloor is not prime
\lfloor (2+\sqrt5)^{2019} \rfloor is not prime
Source: Finland 2019, p2
September 8, 2019
floor function
prime
number theory
algebra
Problem Statement
Prove that the number
⌊
(
2
+
5
)
2019
⌋
\lfloor (2+\sqrt5)^{2019} \rfloor
⌊(
2
+
5
)
2019
⌋
is not prime.
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