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Regional Mathematical Olympiad
2015 India Regional MathematicaI Olympiad
3
RMO Delhi Q.3
RMO Delhi Q.3
Source:
December 20, 2015
Problem Statement
3. Show that there are infinitely many triples (x,y,z) of integers such that
x
3
+
y
4
=
z
31
x^3 + y^4 = z^{31}
x
3
+
y
4
=
z
31
.
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