diff --git a/406.md b/406.md index 515be5112..fa4eb15e8 100644 --- a/406.md +++ b/406.md @@ -6,8 +6,9 @@ - There is a bound for possible divisors we have to check; the bound is the square root of 203. That means that we may have gained some equity by not having taken the square root of 406, potentially harder to calculate than that of 203. - In this case, though, the square root of 400 comes easier (to me): 20. - But because we need to check divisors, we'll want the tighter bound. 203 can't be divisible by 5, can it be divisible by 7? - - 7 * 17 is 119, I know because they are my favourite numbers -- is this useful? It tells me that in 7 * [[x]] X is bound to be lower than 34. + - 7 * 17 is 119, I know because they are my favourite numbers -- is this useful? It tells me that in 203 ?= 7 * [[x]] X is bound to be lower than 34. - 210 which is nearer 203 is clearly 7 * 30 because 21 is 7 * 3. - And lo and behold, 210-203 is 7 :) So we got our answer: - [[406]] is [[2]] * [[7]] * [[29]] + - [[406]] is [[2]] * [[7]] * [[29]] - Beautiful!