# Math Question on Twin Primes

**URL:** <https://boards.straightdope.com/t/math-question-on-twin-primes/811975>\
**Category:** Factual Questions\
**Created:** [April 7, 2018, 10:51am UTC](https://boards.straightdope.com/t/math-question-on-twin-primes/811975 "2018-04-07T10:51:40Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Steven\_Estes](https://avatars.discourse-cdn.com/v4/letter/s/94ad74/32.png) [@Steven\_Estes](https://boards.straightdope.com/u/Steven_Estes)\
**Post date:** [April 7, 2018, 10:51am UTC](https://boards.straightdope.com/t/math-question-on-twin-primes/811975/1 "2018-04-07T10:51:40Z")

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If it is ever proved that there are infinite twin primes (like 3,5 and 41,43) will this imply that there are infinite primes separated by every even number?

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**Author:** ![GoodOmens](https://avatars.discourse-cdn.com/v4/letter/g/d26b3c/32.png) [@GoodOmens](https://boards.straightdope.com/u/GoodOmens)\
**Post date:** [April 7, 2018, 11:09am UTC](https://boards.straightdope.com/t/math-question-on-twin-primes/811975/2 "2018-04-07T11:09:40Z")

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It would depend on how that proof is organized. A proof could (theoretically) be devised which proves purely twin primes. A more general proof could (theoretically) also be devised, but that would be a separate thing and, it’s reasonable to assume, much more difficult.