1.0 KiB
1.0 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4021000cf542c50ff14 | Problem 148: Exploring Pascal's triangle | 5 | 301777 | problem-148-exploring-pascals-triangle |
--description--
We can easily verify that none of the entries in the first seven rows of Pascal's triangle are divisible by 7:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
However, if we check the first one hundred rows, we will find that only 2361 of the 5050 entries are not divisible by 7.
--instructions--
Find the number of entries which are not divisible by 7 in the first one billion ({10}^9
) rows of Pascal's triangle.
--hints--
entriesOfPascalsTriangle()
should return 2129970655314432
.
assert.strictEqual(entriesOfPascalsTriangle(), 2129970655314432);
--seed--
--seed-contents--
function entriesOfPascalsTriangle() {
return true;
}
entriesOfPascalsTriangle();
--solutions--
// solution required