Exhaustively analyzed gaps

The upper bound of exhaustive analysis of gaps has been extended successively, as follows.

The upper bound of exhaustive analysis of gaps has been extended successively, as follows. For the most recent results, see the Prime Gap Searches project at the Mersenne Forum (and see “PGS” in the Bibliography for a list of the participants). Most of the calculations beyond 16000e15 were carried out by Thomas Ritschel.

Upper boundAttained byDate
2**64PGS (Mersenne Forum)25 Sep 2018
18446.744e15PGS (Mersenne Forum)13 Aug 2018
17000e15PGS (Mersenne Forum)25 June 2018
16000e15PGS (Mersenne Forum)29 Apr 2018
15200e15PGS (Mersenne Forum)10 Apr 2018
14000e15PGS (Mersenne Forum)10 Mar 2018
13000e15PGS (Mersenne Forum)25 Feb 2018
12000e15PGS (Mersenne Forum)17 Jan 2018
10000e15PGS (Mersenne Forum)23 Nov 2017
 9250e15PGS (Mersenne Forum)03 Nov 2017
 7000e15PGS (Mersenne Forum)21 Sept 2017
 6000e15PGS (Mersenne Forum)16 Aug 2017
 5500e15PGS (Mersenne Forum)02 Aug 2017
 5000e15PGS (Mersenne Forum)18 July 2017
 4500e15PGS (Mersenne Forum)05 July 2017
 4000e15Silva & Herzog & Pardi04 Apr 2012
 3600e15Silva & Herzog & Pardi30 Mar 2012
 3400e15Silva & Herzog & Silvio Pardi06 Feb 2012
 2608e15Silva & Herzog13 Sept 2011
 2222e15Silva & Herzog27 June 2011
 2200e15Silva & Herzog24 May 2011
 2188e15Silva & Herzog09 May 2011
 2168e15Silva & Herzog09 Apr 2011
 2133e15Silva & Herzog14 Feb 2011
 2020e15Silva & Herzog06 Nov 2010
 1610e15Silva & Herzog30 Aug 2010
 1609e15Silva & Herzog05 Jan 2010
 1600e15Silva & Herzog23 Dec 2009
 1500e15Silva & Herzog24 July 2009
 1e18Silva & Herzog26 Apr 2007
 524e15Silva & Herzog01 Mar 2007
 520e15Silva19 Feb 2007
 425e15Donald E. Knuth22 Oct 2006
 400e15Silva05 June 2006
 300e15Silva & Herzog26 Dec 2005
 200e15Siegfried "Zig" Herzog02 Feb 2005
 150e15Silva17 Dec 2004
 110e15Nyman20 Jan 2004 (27 Oct 2003)
 100e15Silva & Herzog20 Jan 2004
 64.7e15James Fry17 Sep 2003
 60e15Tomás Oliveira e Silva21 Feb 2003
 50.003e15Bertil Nyman22 Oct 2002
 1.598e15Thomas R. Nicely16 Feb 1999
 72.63512e12Young & Potler1989
 4.444e12Richard P. Brent1980
 10.96e9Lander & Parkin1967
 104395289Gruenberger & Armerding & Baker1961
 37e6D. H. Lehmer1957
 10e6A. E. Western1934
 3e6J. W. L. Glaisher1878

Where two dates are given, the earlier one is the date of completion of computations for that interval; the later date is the point at which all other integers below that interval had also been exhaustively checked. See the bibliography for full names and attribution.