846 B
846 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3db1000cf542c50feed | Problem 110: Diophantine Reciprocals II | 5 | 301735 | problem-110-diophantine-reciprocals-ii |
--description--
In the following equation x, y, and n are positive integers.
1/x
+ 1/y
= 1/n
It can be verified that when n
= 1260 there are 113 distinct solutions and this is the least value of n
for which the total number of distinct solutions exceeds one hundred.
What is the least value of n
for which the number of distinct solutions exceeds four million?
--hints--
diophantineTwo()
should return 9350130049860600.
assert.strictEqual(diophantineTwo(), 9350130049860600);
--seed--
--seed-contents--
function diophantineTwo() {
return true;
}
diophantineTwo();
--solutions--
// solution required