Divisible by this year? v2015 (Part 1: Happy New Year!)

Number Theory Level 4

Let $a_{1}$ , $a_{2}$ , $a_{3}$ , $\dots$ , $a_{2013}$ , and $a_{2014}$ be $2014$ positive distinct prime integers where $a_i < a_{i + 1}$ for all positive integer $i < 2014$

Find the least possible value of $a_1$ if

${ { a }_{1 } }^{ 2}+ { { a }_{2 } }^{ 2}+{ { a }_{3 } }^{ 2} + \dots + { { a }_{2013 } }^{ 2}+ { { a }_{2014 } }^{ 2}$

is divisible by $2015$

Please show your solutions! Thanks!!!