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) = n^2 - 3n - 1.

Let p be a prime.

Let R(p) be the smallest positive integer n such that f(n)\bmod p^2 = 0 if such an integer n exists, otherwise R(p) = 0.

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

Find SR({10}^7).

--hints--

polynomialModuloSquareOfPrime() should return 2647787126797397000.

assert.strictEqual(polynomialModuloSquareOfPrime(), 2647787126797397000);

function polynomialModuloSquareOfPrime() {

  return true;
}

polynomialModuloSquareOfPrime();

// solution required