Primes in short intervals |
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| Authors: | Iwaniec Henryk Pintz János |
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| Institution: | (1) Mathematics Institute, Polish Academy of Sciences, ul.  niadeckich 8, 00-950 Warszawa, Poland;(2) Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053 Budapest, Hungary |
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| Abstract: | Let  (x) stand for the number of primes not exceedingx. In the present work it is shown that if 23/42  1,yx
 andx>x() then (x)–(x–y)>y/(100 logx). This implies for the difference between consecutive primes the inequalityp
n+1–p
n
 p
n
23/42
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| Keywords: | |
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