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…

Well, check this out. Type 8675309 into WolframAlpha and it says: “Jenny’s phone number.” (Har, har, har, we all know that song.)

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: 8675309
^{2} = 2460260^{2}+8319141^{2}.

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.]

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Typo in your title… 367…?

Oops! Thanks for pointing that out. It is fixed now.

There’s also a typo in the second paragraph:

“Type 8765309 into WolframAlpha”

(dyslexic typo)

But the link’s correct — 8675309.

Very cool stuff, though!