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17
5 primes with p^3+q^3+r^3+s^3 =t^3
5 primes with p^3+q^3+r^3+s^3 =t^3
Source: 2016 Latvia BW TST P17
December 17, 2022
number theory
primes
Diophantine equation
diophantine
Problem Statement
Can you find five prime numbers
p
,
q
,
r
,
s
,
t
p, q, r, s, t
p
,
q
,
r
,
s
,
t
such that
p
3
+
q
3
+
r
3
+
s
3
=
t
3
p^3+q^3+r^3+s^3 =t^3
p
3
+
q
3
+
r
3
+
s
3
=
t
3
?
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