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Dutch Mathematical Olympiad
2015 Dutch Mathematical Olympiad
4
prime diophantine 7pq^2 + p = q^3 + 43p^3 + 1
prime diophantine 7pq^2 + p = q^3 + 43p^3 + 1
Source: Dutch NMO 2015 p4
September 7, 2019
number theory
prime
Diophantine equation
diophantine
Problem Statement
Find all pairs of prime numbers
(
p
,
q
)
(p, q)
(
p
,
q
)
for which
7
p
q
2
+
p
=
q
3
+
43
p
3
+
1
7pq^2 + p = q^3 + 43p^3 + 1
7
p
q
2
+
p
=
q
3
+
43
p
3
+
1
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