MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2024-25 IOQM India
28
28
Part of
2024-25 IOQM India
Problems
(1)
IOQM P28 2024
Source:
9/8/2024
Find the largest positive integer
n
<
30
n <30
n
<
30
such that
1
2
(
n
8
+
3
n
4
−
4
)
\frac{1}{2}(n^8 + 3n^4 -4)
2
1
(
n
8
+
3
n
4
−
4
)
is not divisible by the square of any prime number.