Geodesic
Consecutive Primes in Short Intervals
Informatics and Automation, Analytic and Combinatorial Number Theory, Tome 314 (2021), pp. 152-210

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a lower bound for $\#\{x/2$, $p_{n+m} - p_n\leq y\}$, where $p_n$ is the $n$th prime.
Mots-clés : Euler's totient function
Keywords: sieve methods, distribution of prime numbers. 
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     author = {Artyom O. Radomskii},
     title = {Consecutive {Primes} in {Short} {Intervals}},
     journal = {Informatics and Automation},
     pages = {152--210},
     publisher = {mathdoc},
     volume = {314},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_314_a8/}
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Artyom O. Radomskii. Consecutive Primes in Short Intervals. Informatics and Automation, Analytic and Combinatorial Number Theory, Tome 314 (2021), pp. 152-210. http://geodesic.mathdoc.fr/item/TRSPY_2021_314_a8/