New prime gaps between \(10^{15}\) and \(5\times 10^{16}\)
Journal of integer sequences, Tome 6 (2003) no. 3
The interval from 10^15 to 5 x 10^16 was searched for first occurrence prime gaps and maximal prime gaps. One hundred and twenty-two new first occurrences were found, including four new maximal gaps, leaving 1048 as the smallest gap whose first occurrence remains uncertain. The first occurrence of any prime gap of 1000 or greater was found to be the maximal gap of 1132 following the prime 1693182318746371. A maximal gap of 1184 follows the prime 43841547845541059. More extensive tables of prime gaps are maintained at http://www.trnicely.net.
Classification :
11A41, 11-04, 11Y55
Keywords: prime gaps, maximal gaps, first occurrences, prime numbers, kilogaps, maximal prime gaps
Keywords: prime gaps, maximal gaps, first occurrences, prime numbers, kilogaps, maximal prime gaps
@article{JIS_2003__6_3_a6,
author = {Nyman, Bertil and Nicely, Thomas R.},
title = {New prime gaps between \(10^{15}\) and \(5\times 10^{16}\)},
journal = {Journal of integer sequences},
year = {2003},
volume = {6},
number = {3},
zbl = {1040.11002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2003__6_3_a6/}
}
Nyman, Bertil; Nicely, Thomas R. New prime gaps between \(10^{15}\) and \(5\times 10^{16}\). Journal of integer sequences, Tome 6 (2003) no. 3. http://geodesic.mathdoc.fr/item/JIS_2003__6_3_a6/