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 8765309 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: 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.]
Other readers
Typo in your title… 367…?
By: Mathphan on August 26, 2009
at 1:09 am
Oops! Thanks for pointing that out. It is fixed now.
By: Dave Richeson on August 26, 2009
at 8:54 am
[...] More on twin primes and Pythagorean triples Pat B. wrote a response to my last post on the number 867-5309. [...]
By: More on twin primes and Pythagorean triples « Division by Zero on August 26, 2009
at 4:26 pm
[...] Richeson writes about the prime , twin primes and Pythagorean [...]
By: Carnival of Mathematics #56 « Reasonable Deviations on August 28, 2009
at 3:42 am
[...] prime phone numbers Recently I noticed that Jenny’s phone number 8675309 (867-5309) had some interesting number theoretic [...]
By: More prime phone numbers « Division by Zero on September 3, 2009
at 10:41 pm
[...] I’m not the first person to discover this. ↩ [...]
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at 3:34 pm