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On the gaps between consecutive primes | | Yu-Chen Sun
; Hao Pan
; | | Date: |
7 Feb 2018 | | Abstract: | Let $p_n$ denote the $n$-th prime. For any $mgeq 1$, there exist infinitely
many $n$ such that $p_{n}-p_{n-m}leq C_m$ for some large constant $C_m>0$, and
$$p_{n+1}-p_ngeq frac{c_mlog nloglog nloglogloglog n}{logloglog n},
$$ for some small constant $c_m>0$. Furthermore, we also obtain a related
result concerning the least primes in arithmetic progressions. | | Source: | arXiv, 1802.2470 | | Services: | Forum | Review | PDF | Favorites | |
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