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2
m^2 +25 \vdots (2011^x-1007^y) where m,x,y in N
m^2 +25 \vdots (2011^x-1007^y) where m,x,y in N
Source: 2011 Belarus TST 6.2
November 7, 2020
number theory
divides
divisible
Problem Statement
Do they exist natural numbers
m
,
x
,
y
m,x,y
m
,
x
,
y
such that
m
2
+
25
⋮
(
201
1
x
−
100
7
y
)
?
m^2 +25 \vdots (2011^x-1007^y) ?
m
2
+
25
⋮
(
201
1
x
−
100
7
y
)?
S. Finskii
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