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 Jul2 awarded Curious Nov20 awarded Nice Question Jan22 comment If the set of primes where $p$, $p+2$ is infinite, would this imply that the set of $p$ and $p+2n$ is also infinite? @AndréNicolas, My question is if there are infinitely many primes with difference $2$, Is there a solid relation between that conjecture and the conjecture that there are infinitely many with difference $4,6,8,10,...$? And the same if there are finite. I'm having trouble wording the question and would really appreciate it if you edited the question if you understood me, thanks. Jan22 revised If the set of primes where $p$, $p+2$ is infinite, would this imply that the set of $p$ and $p+2n$ is also infinite? deleted 24 characters in body Jan22 revised If the set of primes where $p$, $p+2$ is infinite, would this imply that the set of $p$ and $p+2n$ is also infinite? added 49 characters in body Jan22 asked If the set of primes where $p$, $p+2$ is infinite, would this imply that the set of $p$ and $p+2n$ is also infinite? Jan21 comment Set notation for infinite subsets. Yes, thanks you. Jan21 accepted Set notation for infinite subsets. Jan21 comment Set notation for infinite subsets. Thanks, what about the part about $n$ for each subset being one more than the $n$ value for the previous subset? Jan21 asked Set notation for infinite subsets. Jan20 awarded Teacher Jan19 answered How to prove there is no algorithm for a problem e.g. generating next prime? Jan18 revised Counting all multiples of $n_1$ in the vicinity of $n_2\pm1$. edited body Jan18 revised Counting all multiples of $n_1$ in the vicinity of $n_2\pm1$. edited body Jan18 revised Counting all multiples of $n_1$ in the vicinity of $n_2\pm1$. added 151 characters in body Jan18 accepted Good introductory readings to topics related to prime numbers for non-mathematicians Jan18 accepted Counting instances where $bn_k$ is equal to any $an_k-1$ or $an_k+1$ under a given number on a number-line. Jan18 accepted What academic level would one need to be at to fully understand papers published on the twin prim conjecture? Jan18 asked Counting all multiples of $n_1$ in the vicinity of $n_2\pm1$. Jan18 revised Counting instances where $bn_k$ is equal to any $an_k-1$ or $an_k+1$ under a given number on a number-line. added 695 characters in body