Math twitter: it's proven (afaik) that gaps between primes can get arbitrarily large. So for every N, there's a gap >= N. But is it proven that for every even N, there's a gap of EXACTLY N?
If not, what is the smallest N for which we haven't found an instance of a prime gap yet?
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this is a wide open problem but it’s implied by a very general conjecture called the hardy-littlewood prime tuples conjecture:
dspace.mit.edu/bitstream/hand
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Thanks QC ❤️ Site seems to be down rn tho :( will try to access it later!
Also is it wrong for me to snicker at "hardy-littlewood" lol I mean come on
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huh, that’s super weird, it’s not down for me. you can google that search term
and lol i hadn’t noticed but u right
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