Sequence Sum and Prime Factorization (Jee Mains) | ExamDuo
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Advanced Series
Medium
Sequence Sum and Prime Factorization
Let
<
a
n
>
be a sequence such that
a
1
+
a
2
+
.
.
+
a
n
=
n
2
+
3
n
(
n
+
1
)
(
n
+
2
)
. If
28
10
∑
k
=
1
1
a
k
=
p
1
p
2
p
3
.
.
.
p
m
, where
p
1
,
p
2
.
.
.
.
.
.
p
m
are the first
m
prime numbers, then
m
is equal to
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