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All-Russian Olympiad Regional Round
1994 All-Russian Olympiad Regional Round
9.7
9.7
Part of
1994 All-Russian Olympiad Regional Round
Problems
(1)
p^2+qs, p^2 +qr perfect squares - All-Russian MO 1994 Regional (R4) 9.7
Source:
8/26/2024
Find all prime numbers
p
,
q
,
r
,
s
p,q,r,s
p
,
q
,
r
,
s
such that their sum is a prime number and
p
2
+
q
s
p^2+qs
p
2
+
q
s
and
p
2
+
q
r
p^2 +qr
p
2
+
q
r
are squares of integers.
number theory
Perfect Square