Primes of Form n^2 + 1

Sequence
The sequence of prime numbers of the form $n^2 + 1$ begins:
 * $2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601, 2917, 3137, 4357, 5477, \ldots$

These correspond to values of $n$ beginning:
 * $1, 2, 4, 6, 10, 14, 16, 20, 24, \ldots$