The idea of subliminal death primes is this.

潜意识死亡素数的想法是这样的。

On the GRE math section, prime numbers are always going to be positive.

在 GRE 的数学部分，素数总是正的。

Furthermore, the drained parts of the slimed primes are not, themselves, prime.

此外， 粘稠素数的沥干部分本身并不是素数。

The ones that are prime must be immune.

那些是素数的人必须是免疫的。

You can only decrypt RSA security by factoring the product of two prime numbers.

您只能通过分解 两个素数的乘积来解密 RSA 安全性。

So something like the twin prime conjecture might be unsolvable.

因此，像孪生素数想这样的问题可能是无法解决的。

In early January, the highest prime number ever found was announced.

1 月初，有史以来发现的最高素数公布了。

In fact, as you'll see, this pattern is rooted in the distribution of primes.

事实上，正如您将看到的，这种模式植根于素数的分布。

Then primes like 23, which could only be split into 2 and 3, both prime.

然后像 23 这样的素数， 只能分成 2 和 3， 都是素数。

We've already identified every prime less than 121, and it's easy to go higher and higher this way.

我识别出每一个小于 121 的素数，这样越走越高很容易。

And the word " prime" (prime) here means the number one or the most likely suspect.

而这里的“素数”（prime）这个词就是第一名或者最有可能的嫌疑人。

Where this denominator and the numerator are both written with a special prime counting function.

其中分母和分子都是用特殊的素数计数函数编写的。

That specific format -- two to the power of n minus one -- is what’s called a Mersenne prime.

这种特定格式——二的 n 次方减一——就是所谓的梅森素数。

Which is simply that each of these residue classes that MIGHT have infinitely many primes DOES have infinitely many.

简单地说，每个可能有无限多个素数的残基类确实有无限多个。

GIMPS turned up this new number by testing a bunch of Mersenne numbers for prime-ness, because they’re not all prime.

GIMPS 通过测试一堆梅森数的素数得出了这个新数字，因为它并不都是素数。

This pattern is the regularity within primes that we'll ultimately exploit.

这种模式是我最终将利用的素数内的规律性。

And it relates to the distribution of prime numbers together with rational approximations for pi.

它涉及素数的分布以及 pi 的有理近似值。

And this isn't just antiquated technology either Understanding the distribution of primes in residue classes like this Continues to be relevant in modern research too!

这不仅仅是过时的技术理解像这样的残基类中素数的分布也继续与现代研究相关！

People exposed to death primes become more nationalistic, more patriotic, less forgiving of other people, less liking of other races and people from other countries.

暴露于死亡素数的人变得更加民族主义， 更加爱国，对他人的宽容度降低，对其他种族和来自其他国家的人的喜爱度降低。

As a quick refresher, among the ordinary integers, every number can be factored as some unique collection of prime numbers.

快速回顾一下， 在普通整数中，每个数字都可以分解为一些唯一的素数集合。