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Baltic Way
2002 Baltic Way
16
16
Part of
2002 Baltic Way
Problems
(1)
Find all non negative integers "m"
Source: Baltic Way 2002
9/19/2009
Find all nonnegative integers
m
m
m
such that
a
m
=
(
2
2
m
+
1
)
2
+
1
a_m=(2^{2m+1})^2+1
a
m
=
(
2
2
m
+
1
)
2
+
1
is divisible by at most two different primes.
number theory
greatest common divisor
quadratics
number theory unsolved