Oliver Eyton-Williams ee1e8abd87
feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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id, title, challengeType, videoUrl, dashedName
id title challengeType videoUrl dashedName
5900f3871000cf542c50fe9a 问题27二次素数 5 problem-27-quadratic-primes

--description--

欧拉发现了显着的二次公式:$ n ^ 2 + n + 41 事实证明,公式将为连续的整数值 0 \ le n \ le 39 产生40个素数。但是 n = 40时40 ^ 2 + 40 + 41 = 4040 + 1+ 41 可被41整除当然 n = 41时41 ^ 2 + 41 + 41 显然可以被整除41.发现了令人难以置信的公式 n ^ 2 - 79n + 1601 ,它为连续值 0 \ le n \ le 79 $产生80个素数。系数-79和1601的乘积是-126479。考虑形式的二次方

$ n ^ 2 + an + b ,其中 | a | <range | b | \ le $ 其中 | n | n 的模数/绝对值,例如 | 11 | = 11 | -4 | = 4 $

找到系数的乘积,$ a b ,用于生成连续值 n 的最大素数数的二次表达式,从 n = 0 $开始。

--hints--

quadraticPrimes(200)应返回-4925。

assert(quadraticPrimes(200) == -4925);

quadraticPrimes(500)应返回-18901。

assert(quadraticPrimes(500) == -18901);

quadraticPrimes(800)应返回-43835。

assert(quadraticPrimes(800) == -43835);

quadraticPrimes(1000)应返回-59231。

assert(quadraticPrimes(1000) == -59231);

--seed--

--seed-contents--

function quadraticPrimes(range) {

  return range;
}

quadraticPrimes(1000);

--solutions--

// solution required