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Re:Sexy prime by throwawaymath on Friday February 15, 2019 @12:23PM (#19172751)
They're primes which are separated by exactly six non-prime numbers. It remains an open question whether or not there are infinitely many sexy primes.

More generally, see the article on prime gaps: https://en.m.wikipedia.org/wiki/Prime_gap

Re:Sexy prime by jfk13 on Friday February 15, 2019 @12:52PM (#19173024)
> They're primes which are separated by exactly six non-prime numbers.

That doesn't match what the article says: "prime numbers that differ from each other by six". So they're separated by five other numbers (which are not necessarily all non-primes).

Re:Sexy prime by LanceH on Friday February 15, 2019 @02:50PM (#19174121)
Separated by five natural numbers.
Re:Sexy prime by moate on Friday February 15, 2019 @12:54PM (#19173041)
5,11 pair runs counter to this definition. .
Re:Sexy prime by jjtheblunt on Friday February 15, 2019 @01:27PM (#19173378)
separated by is 1 less than the difference, so separated by 5 composite numbers is what you meant? i mean it's just a wording issue.
Re:Sexy prime by throwawaymath on Friday February 15, 2019 @02:45PM (#19174074)
Yes, that’s what I meant. Thanks for the charitable correction.

Great to see the HN tradition of downvoting for an off by one error continues strong as well...