Pat B. wrote a response to my last post on the number 867-5309. In that post I pointed out that: 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. Pat asked: What is the smallest number that would meet…

# Tag: twin prime conjecture

## 867-5309; more than Jenny’s phone number

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.”…

## A musical lecture on the twin prime conjecture

Just for fun, a musical description of the twin prime conjecture from NOVA ScienceNOW.