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Contests
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Baltic Way
2010 Baltic Way
19
19
Part of
2010 Baltic Way
Problems
(1)
Sum of the squares of k primes
Source: Baltic Way 2010
11/19/2010
For which
k
k
k
do there exist
k
k
k
pairwise distinct primes
p
1
,
p
2
,
…
,
p
k
p_1,p_2,\ldots ,p_k
p
1
,
p
2
,
…
,
p
k
such that
p
1
2
+
p
2
2
+
…
+
p
k
2
=
2010
?
p_1^2+p_2^2+\ldots +p_k^2=2010?
p
1
2
+
p
2
2
+
…
+
p
k
2
=
2010
?
inequalities
number theory proposed
number theory