873 B
873 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4531000cf542c50ff66 | Problem 231: The prime factorisation of binomial coefficients | 5 | 301875 | problem-231-the-prime-factorisation-of-binomial-coefficients |
--description--
The binomial coefficient \displaystyle\binom{10}{3} = 120
.
120 = 2^3 × 3 × 5 = 2 × 2 × 2 × 3 × 5
, and 2 + 2 + 2 + 3 + 5 = 14
.
So the sum of the terms in the prime factorisation of \displaystyle\binom{10}{3}
is 14
.
Find the sum of the terms in the prime factorisation of \binom{20\\,000\\,000}{15\\,000\\,000}
.
--hints--
primeFactorisation()
should return 7526965179680
.
assert.strictEqual(primeFactorisation(), 7526965179680);
--seed--
--seed-contents--
function primeFactorisation() {
return true;
}
primeFactorisation();
--solutions--
// solution required