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1
a,b,c such that a^2+1 and b^2+1 are primes
a,b,c such that a^2+1 and b^2+1 are primes
Source:
December 9, 2005
number theory proposed
number theory
Problem Statement
Find all the natural numbers
a
,
b
,
c
a,b,c
a
,
b
,
c
such that: 1)
a
2
+
1
a^2+1
a
2
+
1
and
b
2
+
1
b^2+1
b
2
+
1
are primes 2)
(
a
2
+
1
)
(
b
2
+
1
)
=
(
c
2
+
1
)
(a^2+1)(b^2+1)=(c^2+1)
(
a
2
+
1
)
(
b
2
+
1
)
=
(
c
2
+
1
)
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