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161
ASU 161 All Soviet Union MO 1972 4^{27}+4^{1000}+4^x, perfect square, max x
ASU 161 All Soviet Union MO 1972 4^{27}+4^{1000}+4^x, perfect square, max x
Source:
July 3, 2019
Perfect Square
number theory
maximum
Problem Statement
Find the maximal
x
x
x
such that the expression
4
27
+
4
1000
+
4
x
4^{27} + 4^{1000} + 4^x
4
27
+
4
1000
+
4
x
is the exact square.
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