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Purple Comet Problems
2009 Purple Comet Problems
2
Purple Comet 2009 MS Question 2
Purple Comet 2009 MS Question 2
Source:
July 28, 2011
Problem Statement
Let
p
1
=
2
,
p
2
=
3
,
p
3
=
5...
p_1 = 2, p_2 = 3, p_3 = 5 ...
p
1
=
2
,
p
2
=
3
,
p
3
=
5...
be the sequence of prime numbers. Find the least positive even integer
n
n
n
so that
p
1
+
p
2
+
p
3
+
.
.
.
+
p
n
p_1 + p_2 + p_3 + ... + p_n
p
1
+
p
2
+
p
3
+
...
+
p
n
is not prime.
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