A few days ago I posted a video about the twin prime conjecture, which states that there are infinitely many primes that are two integers apart: 3 and 5, 5 and 7, 11 and 13, 101 and 103, 1607 and 1609…
At the top of the page it says: Assuming “8675309” is a phrase | Use as a number instead.
Click on that link and you’ll see the following interesting facts about 8675309.
- 8675309 is a prime.
- 8675309 is a twin prime (8675311 is also prime).
- 8675309 is the hypotenuse of a (primitive) Pythagorean triple: 86753092 = 24602602+83191412.
That’s so cool! Who knew?!?!
As Tim Quinn points out, the Nova ScienceNOW song is the second song about twin primes. The first was by Tommy Tutone.
[Update: read this follow-up post.]