# (primes in the) Partial sum of A002496 Primes of form n^2 + 1.

Jonathan Post jvospost3 at gmail.com
Tue Jun 10 03:23:44 CEST 2008

```As an amusing example of The Law of Small Numbers, from the related
sequence to the one about whose partial sum I'd enquired...

1, 3, 7, 13, 23, 37, 53, 73, 97, 123, 159, 199, 253, 309, 375, 449,
533, 623, 717, 827, 943, 1063, ...

Partial sum of A005574  Numbers n such that n^2 + 1 is prime.

Note that the first 9 values are all noncomposite. No composite until
a(10) = 123. Then more primes crop up: 199, 449, 827, 1063, ...

example:
1 + 2 + 4 + 6 + 10 + 14 + 16 + 20 + 24 + 26 + 36 + 40 + 54 + 56 + 66 +
74 + 84 + 90 + 94 + 110 + 116 + 120 = 1063, which is prime.

Best,

Jonathan Vos Post

-----Original Message-----

...

Is this interesting enough to submit?

Partial sum of A002496 Primes of form n^2 + 1.

...

(There are a couple of thousand sequence lik

that begin Primes of the form ******

and there's no reason to include all their

partial sums)

Neil

```