## Who Solved twin prime conjecture?

## Who Solved twin prime conjecture?

Although their proof was flawed, they corrected it with Hungarian mathematician János Pintz in 2005. American mathematician Yitang Zhang built on their work to show in 2013 that, without any assumptions, there were an infinite number differing by 70 million.

**What did Yitang Zhang prove in 2013 that made him famous?**

In 2013, Zhang, a number theorist, submitted a proof to the “Annals of Mathematics” that established the first finite bound on gaps between prime numbers. So began his ascent to mathematics renown.

### Did Terence Tao solve the twin prime conjecture?

The breakthrough work of Yitang Zhang in 2013, as well as work by James Maynard, Terence Tao and others, has made substantial progress towards proving that there are infinitely many twin primes, but at present this remains unsolved.

**What is a twin prime conjecture?**

The twin primes conjecture concerns pairs of prime numbers with a difference of 2. The numbers 5 and 7 are twin primes. So are 17 and 19. The conjecture predicts that there are infinitely many such pairs among the counting numbers, or integers.

#### How many prime triplets exist?

Similarly to the twin prime conjecture, it is conjectured that there are infinitely many prime triplets. The first known gigantic prime triplet was found in 2008 by Norman Luhn and François Morain. The primes are (p, p + 2, p + 6) with p = 2072644824759 × 233333 − 1.

**Will the twin prime conjecture ever be proven?**

They might be closer now than ever before, though. In a paper published Aug. 12 in the preprint journal arXiv, as Quanta first reported, two mathematicians proved that the twin prime conjecture is true — at least in a sort of alternative universe.

## What is the largest gap between primes?

The largest known prime gap with identified proven primes as gap ends has length 1113106 and merit 25.90, with 18662-digit primes found by P. Cami, M. Jansen and J. K. Andersen.

**What is a bounded gap?**

On average, that’s indeed the case. But what Yitang Zhang just proved is that there are infinitely many pairs of primes that differ by at most 70,000,000. In other words, that the gap between one prime and the next is bounded by 70,000,000 infinitely often—thus, the “bounded gaps” conjecture.

### Is twin prime conjecture proven?

In a paper published Aug. 12 in the preprint journal arXiv, as Quanta first reported, two mathematicians proved that the twin prime conjecture is true — at least in a sort of alternative universe. This is what mathematicians do: work toward big proofs by proving smaller ideas along the way.

**How many twin prime conjecture are there?**

There are two related conjectures, each called the twin prime conjecture.