MathDB

2013 Fall Team #6

Source:

March 26, 2022

number theory

Problem Statement

Let

a_1 < a_2 < a_3 < ... < a_n < ...

be positive integers such that, for

n = 1, 2, 3, ...,

a_{2n} = a_n + n.

Given that if

a_n

is prime, then

n

is also, find

a_{2014}