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Jun 2, 2023 at 22:19 history edited Timothy Chow CC BY-SA 4.0
Added a link to a relevant MO question
May 23, 2023 at 3:22 comment added Timothy Chow @GerryMyerson Good point. On the other hand, conceivably the question of whether every even number arises at least once as the difference of two not-necessarily-consecutive primes could be easier than Polignac's conjecture.
May 23, 2023 at 3:19 comment added Gerry Myerson I believe this conjecture predates the coming of stackexchange by many decades. Already in 1849 de Polignac conjectured that every even number arises infinitely often as the difference of consecutive primes.
May 22, 2023 at 12:48 history answered Timothy Chow CC BY-SA 4.0