---
id: 5900f3fe1000cf542c50ff11
title: 'Problem 146: Investigating a Prime Pattern'
challengeType: 5
forumTopicId: 301775
dashedName: problem-146-investigating-a-prime-pattern
---

# --description--

The smallest positive integer $n$ for which the numbers $n^2 + 1$, $n^2 + 3$, $n^2 + 7$, $n^2 + 9$, $n^2 + 13$, and $n^2 + 27$ are consecutive primes is 10. The sum of all such integers $n$ below one-million is 1242490.

What is the sum of all such integers $n$ below 150 million?

# --hints--

`primePattern()` should return `676333270`.

```js
assert.strictEqual(primePattern(), 676333270);
```

# --seed--

## --seed-contents--

```js
function primePattern() {

  return true;
}

primePattern();
```

# --solutions--

```js
// solution required
```