1.0 KiB
1.0 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4c81000cf542c50ffd9 | Problem 347: Largest integer divisible by two primes | 5 | 302006 | problem-347-largest-integer-divisible-by-two-primes |
--description--
The largest integer ≤ 100 that is only divisible by both the primes 2 and 3 is 96, as 96=32*3=25*3.
For two distinct primes p and q let M(p,q,N) be the largest positive integer ≤N only divisible
by both p and q and M(p,q,N)=0 if such a positive integer does not exist.
E.g. M(2,3,100)=96. M(3,5,100)=75 and not 90 because 90 is divisible by 2 ,3 and 5. Also M(2,73,100)=0 because there does not exist a positive integer ≤ 100 that is divisible by both 2 and 73.
Let S(N) be the sum of all distinct M(p,q,N). S(100)=2262.
Find S(10 000 000).
--hints--
euler347()
should return 11109800204052.
assert.strictEqual(euler347(), 11109800204052);
--seed--
--seed-contents--
function euler347() {
return true;
}
euler347();
--solutions--
// solution required