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2021 CMIMC
2
2021 Team P2
2021 Team P2
Source:
March 2, 2021
number theory
Problem Statement
Let
p
1
,
p
2
,
p
3
,
p
4
,
p
5
,
p
6
p_1, p_2, p_3, p_4, p_5, p_6
p
1
,
p
2
,
p
3
,
p
4
,
p
5
,
p
6
be distinct primes greater than
5
5
5
. Find the minimum possible value of
p
1
+
p
2
+
p
3
+
p
4
+
p
5
+
p
6
−
6
min
(
p
1
,
p
2
,
p
3
,
p
4
,
p
5
,
p
6
)
p_1 + p_2 + p_3 + p_4 + p_5 + p_6 - 6\min\left(p_1, p_2, p_3, p_4, p_5, p_6\right)
p
1
+
p
2
+
p
3
+
p
4
+
p
5
+
p
6
−
6
min
(
p
1
,
p
2
,
p
3
,
p
4
,
p
5
,
p
6
)
Proposed by Oliver Hayman
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