freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-457-a-polynomial-modulo-the-square-of-a-prime.md

id	title	challengeType	forumTopicId	dashedName
5900f5361000cf542c510048	Problem 457: A polynomial modulo the square of a prime	5	302131	problem-457-a-polynomial-modulo-the-square-of-a-prime

--description--

Let f(n) = n2 - 3n - 1.

Let p be a prime.

Let R(p) be the smallest positive integer n such that f(n) mod p2 = 0 if such an integer n exists, otherwise R(p) = 0.

Let SR(L) be ∑R(p) for all primes not exceeding L.

Find SR(107).

--hints--

euler457() should return 2647787126797397000.

assert.strictEqual(euler457(), 2647787126797397000);

--seed--

--seed-contents--

function euler457() {

  return true;
}

euler457();

--solutions--

// solution required