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No, this is absolutely not the first (correct) proof that infinitely many prime numbers come in pairs! That is the twin prime conjecture, and at the time of wri
by daniel-levin 11y ago
No, this is absolutely not the first (correct) proof that infinitely many prime numbers come in pairs! That is the twin prime conjecture, and at the time of writing this comment, steadily remains a conjecture. I wonder why Nature, a publication held in high regard, would publish an article with such a title. This is not to say that the result is anything less than incredible.
Terence Tao delivered a very good lecture on this result here [0]
[0] https://www.youtube.com/watch?v=pp06oGD4m00 https://www.youtube.com/watch?v=pp06oGD4m00
- valera_rozuvan 11y agoMore precise quote from the Nature article: "... Yitang Zhang ... finds that there are infinitely many pairs of primes that are less than 70 million units apart without relying on unproven conjectures." I agree that there is a difference between "twin primes" and "pairs of primes".
- valera_rozuvan 11y agoTwin primes are pairs of primes which differ by two.
- biot 11y agoIn the video you linked, Terrence Tao calls this result "a completely correct proof" (at around 4:00). Pairs of primes includes but is not limited to twin primes.