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ISI B.Stat Entrance Exam
2006 ISI B.Stat Entrance Exam
3
A verrrrry well known one!
A verrrrry well known one!
Source: India RMO 1991 Problem 7
October 15, 2005
induction
modular arithmetic
number theory
prime numbers
Problem Statement
Prove that
n
4
+
4
n
n^4 + 4^{n}
n
4
+
4
n
is composite for all values of
n
n
n
greater than
1
1
1
.
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