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2019 BMT Spring
6
One of the twins is a prime (BMT 2019 Discrete #6)
One of the twins is a prime (BMT 2019 Discrete #6)
Source:
May 25, 2019
number theory
prime numbers
Problem Statement
Define
f
(
n
)
=
n
2
+
n
2
f(n) = \dfrac{n^2 + n}{2}
f
(
n
)
=
2
n
2
+
n
. Compute the number of positive integers
n
n
n
such that
f
(
n
)
≤
1000
f(n) \leq 1000
f
(
n
)
≤
1000
and
f
(
n
)
f(n)
f
(
n
)
is the product of two prime numbers.
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