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Mar 10, 2015 at 18:28 comment added David E Speyer See mathoverflow.net/questions/74594
Mar 10, 2015 at 18:24 comment added Todd Trimble I changed "spare" in the title to "sparse". Please roll back if this is not what you intended.
Mar 10, 2015 at 18:23 history edited Todd Trimble CC BY-SA 3.0
corrected a misspelling
Mar 10, 2015 at 17:35 comment added Stanley Yao Xiao Erdos showed that there are sets $S$ with density as low as $O(n^{1/2 + \epsilon})$ are actually additive bases; meaning every large positive integer lies in $2S$. For concrete sets, it should be accessible to prove that semi-primes of finite order (say, numbers with at most $k$ prime factors) have the Goldbach property, and they are not much denser than the primes themselves.
Mar 10, 2015 at 17:30 history asked Asterios Gkantzounis CC BY-SA 3.0