chore(i8n,learn): processed translations
This commit is contained in:
committed by
Mrugesh Mohapatra
parent
15047f2d90
commit
e5c44a3ae5
@ -0,0 +1,58 @@
|
||||
---
|
||||
id: 5900f3a61000cf542c50feb9
|
||||
title: 'Problem 58: Spiral primes'
|
||||
challengeType: 5
|
||||
forumTopicId: 302169
|
||||
dashedName: problem-58-spiral-primes
|
||||
---
|
||||
|
||||
# --description--
|
||||
|
||||
Starting with 1 and spiralling anticlockwise in the following way, a square spiral with side length 7 is formed.
|
||||
|
||||
<div style='text-align: center;'>
|
||||
<strong><span style='color: red;'>37</span></strong> 36 35 34 33 32 <strong><span style='color: red;'>31</span></strong><br>
|
||||
38 <strong><span style='color: red;'>17</span></strong> 16 15 14 <strong><span style='color: red;'>13</span></strong> 30<br>
|
||||
39 18 <strong><span style='color: red;'>5</span></strong> 4 <strong><span style='color: red;'>3</span></strong> 12 29<br>
|
||||
40 19 6 1 2 11 28<br>
|
||||
41 20 <strong><span style='color: red;'>7</span></strong> 8 9 10 27<br>
|
||||
42 21 22 23 24 25 26<br>
|
||||
<strong><span style='color: red;'>43</span></strong> 44 45 46 47 48 49<br>
|
||||
</div>
|
||||
|
||||
It is interesting to note that the odd squares lie along the bottom right diagonal, but what is more interesting is that 8 out of the 13 numbers lying along both diagonals are prime; that is, a ratio of 8/13 ≈ 62%.
|
||||
|
||||
If one complete new layer is wrapped around the spiral above, a square spiral with side length 9 will be formed. If this process is continued, what is the side length of the square spiral for which the ratio of primes along both diagonals first falls below 10%?
|
||||
|
||||
# --hints--
|
||||
|
||||
`spiralPrimes()` should return a number.
|
||||
|
||||
```js
|
||||
assert(typeof spiralPrimes() === 'number');
|
||||
```
|
||||
|
||||
`spiralPrimes()` should return 26241.
|
||||
|
||||
```js
|
||||
assert.strictEqual(spiralPrimes(), 26241);
|
||||
```
|
||||
|
||||
# --seed--
|
||||
|
||||
## --seed-contents--
|
||||
|
||||
```js
|
||||
function spiralPrimes() {
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
spiralPrimes();
|
||||
```
|
||||
|
||||
# --solutions--
|
||||
|
||||
```js
|
||||
// solution required
|
||||
```
|
Reference in New Issue
Block a user