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id	title	challengeType	forumTopicId	dashedName
5900f3f21000cf542c50ff04	Problem 133: Repunit nonfactors	5	301761	problem-133-repunit-nonfactors

--description--

A number consisting entirely of ones is called a repunit. We shall define R(k) to be a repunit of length k; for example, R(6) = 111111.

Let us consider repunits of the form R({10}^n).

Although R(10), R(100), or R(1000) are not divisible by 17, R(10000) is divisible by 17. Yet there is no value of n for which R({10}^n) will divide by 19. Remarkably, 11, 17, 41, and 73 are the only four primes below one-hundred that can be a factor of R({10}^n).

Find the sum of all the primes below one-hundred thousand that will never be a factor of R({10}^n).

--hints--

repunitNonfactors() should return 453647705.

assert.strictEqual(repunitNonfactors(), 453647705);

--seed--

--seed-contents--

function repunitNonfactors() {

  return true;
}

repunitNonfactors();

--solutions--

// solution required

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