Each time it generates a new theorem, it checks if it's the twin prime conjecture.

每次生成一个新定理时，它都会检查它是否是孪生素数猜想。

So something like the twin prime conjecture might be unsolvable.

因此，像孪生素数猜想这样的问题可能是无法解决的。

We might never know whether there are infinite twin primes or not.

我们可能永远不知道是否存在无限多个孪生质数。

It wasn't difficult.You know how when you see prime numbers, they appear red, but when they're twin primes, they're pink and smell like gasoline? No.

其实不难啦，就像质数在你眼里自动就是红色的，孪生质数是粉红色，而且闻起来像汽油，你懂我的意思吗，不懂。

So if you could solve the halting problem, you could solve the twin prime conjecture and all sorts of other unsolved questions.

因此， 如果你能解决停机问题，你就能解决孪生素数猜想和所有其他未解决的问题。

For example, you could solve the twin prime conjecture by writing a Turing machine program that starts with the axioms and constructs all theorems that can be produced in one step using the rules of inference.

例如，你可以通过编写图灵机程序来解决孪生素数猜想，该程序从公理开始，构建所有可以使用推理规则一步生成的定理。