Timeline of prime gap bounds - Revision history

AndrewVSutherland: Clarified the meaning of * in the legend

2015-07-05T22:38:25Z

Clarified the meaning of * in the legend

← Older revision		Revision as of 15:38, 5 July 2015
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	# ? - unconfirmed or conditional		# ? - unconfirmed or conditional
	# ?? - theoretical limit of an analysis, rather than a claimed record		# ?? - theoretical limit of an analysis, rather than a claimed record
	# <nowiki>*</nowiki> - is majorized by an earlier but independent result		# <nowiki>*</nowiki> - is majorized by an earlier but independent or conditional result
	# <nowiki>#</nowiki> - bound does not rely on Deligne's theorems		# <nowiki>#</nowiki> - bound does not rely on Deligne's theorems
	# [EH] - bound is conditional the Elliott-Halberstam conjecture		# [EH] - bound is conditional the Elliott-Halberstam conjecture

Teorth at 17:07, 23 June 2014

2014-06-23T17:07:08Z

← Older revision		Revision as of 10:07, 23 June 2014
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	\| [http://math.mit.edu/~drew/schinzel_3473955908_80550202480.txt 80,550,202,480]* [m=5] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])		\| [http://math.mit.edu/~drew/schinzel_3473955908_80550202480.txt 80,550,202,480]* [m=5] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])
	\| Verification of several previous bounds		\| Verification of several previous bounds
			\|-
			\| June 23
			\|
			\|
			\| [http://math.mit.edu/~drew/schinzel_3393468735_78602310160.txt 78,602,310,160]? [m=5] ([http://terrytao.wordpress.com/2014/06/19/polymath8-wrapping-up/#comment-378098 Sutherland])
	\|}		\|}

Teorth at 20:53, 8 June 2014

2014-06-08T20:53:38Z

AndrewVSutherland at 17:56, 8 June 2014

2014-06-08T17:56:22Z

← Older revision		Revision as of 10:56, 8 June 2014
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	\|		\|
	\|		\|
	\| 80,550,202,480 [m=5]* ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])		\| [http://math.mit.edu/~drew/schinzel_3473955908_80550202480.txt 80,550,202,480]* [m=5] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])
	\|}		\|}

Teorth at 15:50, 8 June 2014

2014-06-08T15:50:33Z

← Older revision		Revision as of 08:50, 8 June 2014
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	[http://math.mit.edu/~drew/greedy_105754837_2031558336.txt 2,031,558,336]?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])		[http://math.mit.edu/~drew/greedy_105754837_2031558336.txt 2,031,558,336]?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])
	\| Heuristically determined shift for the shifted greedy sieve		\| Heuristically determined shift for the shifted greedy sieve
			\|-
			\| June 8
			\|
			\|
			\| 80,550,202,480 [m=5]* ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])
	\|}		\|}

Teorth at 16:07, 30 May 2014

2014-05-30T16:07:14Z

← Older revision		Revision as of 09:07, 30 May 2014
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	252? [m=2] [GEH] ([http://math.mit.edu/~primegaps/tuples/admissible_51_252.txt Clark-Jarvis])		252? [m=2] [GEH] ([http://math.mit.edu/~primegaps/tuples/admissible_51_252.txt Clark-Jarvis])
	\| New bounds for <math>M_{k,1/(k-1)}</math>		\| New bounds for <math>M_{k,1/(k-1)}</math>
			\|-
			\| May 30
			\|
			\|
			\| [http://math.mit.edu/~drew/greedy_74487363_1404556152.txt 1,404,556,152]? [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])
			[http://math.mit.edu/~drew/greedy_75845707_1431556072.txt 1,431,556,072]?* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])

			[http://math.mit.edu/~drew/greedy_105754837_2031558336.txt 2,031,558,336]?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])
			\| Heuristically determined shift for the shifted greedy sieve
	\|}		\|}

Teorth at 06:08, 29 May 2014

2014-05-29T06:08:16Z

← Older revision		Revision as of 23:08, 28 May 2014
Line 1,020:		Line 1,020:
	1,452,348,402?* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-351013 Sutherland])		1,452,348,402?* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-351013 Sutherland])
	\| Fast restricted greedy sieving		\| Fast restricted greedy sieving
			\|-
			\| May 28
			\|
			\| 52? [m=2] [GEH] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-355568 de Grey])
			51? [m=2] [GEH] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-355656 de Grey])
			\| 254? [m=2] [GEH] ([http://math.mit.edu/~primegaps/tuples/admissible_52_254.txt Clark-Jarvis])
			252? [m=2] [GEH] ([http://math.mit.edu/~primegaps/tuples/admissible_51_252.txt Clark-Jarvis])
			\| New bounds for <math>M_{k,1/(k-1)}</math>
	\|}		\|}

Teorth at 20:34, 23 May 2014

2014-05-23T20:34:47Z

← Older revision		Revision as of 13:34, 23 May 2014
Line 1,013:		Line 1,013:
	2,075,186,584?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-345117 Sutherland])		2,075,186,584?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-345117 Sutherland])
	\| Faster modified Schinzel sieve testing		\| Faster modified Schinzel sieve testing
			\|-
			\| May 23
			\|
			\|
			\| 1,424,944,070? [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-351013 Sutherland])
			1,452,348,402?* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-351013 Sutherland])
			\| Fast restricted greedy sieving
	\|}		\|}

Teorth at 04:31, 19 May 2014

2014-05-19T04:31:08Z

← Older revision		Revision as of 21:31, 18 May 2014
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	124,840,189,042?# [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])		124,840,189,042?# [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])
	\| Fast admissibility testing for Schinzel sequences		\| Fast admissibility testing for Schinzel sequences
			\|-
			\| May 18
			\|
			\|
			\| 1,435,011,318? [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-345117 Sutherland])
			1,462,568,450?* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-345117 Sutherland])

			2,075,186,584?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-345117 Sutherland])
			\| Faster modified Schinzel sieve testing
	\|}		\|}

Teorth at 15:49, 14 May 2014

2014-05-14T15:49:14Z

← Older revision		Revision as of 08:49, 14 May 2014
Line 988:		Line 988:

	126,630,386,774?# [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-330204 Sutherland])		126,630,386,774?# [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-330204 Sutherland])
			\| Fast admissibility testing for Hensley-Richards sequences
			\|-
			\| May 14
			\|
			\|
			\| 1,440,495,268? [m=4] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])
			78,807,316,822 [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])

			1,467,584,468?* [m=4] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])

			80,761,835,464?* [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])

			2,082,729,956?# [m=4] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])

			124,840,189,042?# [m=5] ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-339197 Sutherland])
			\| Fast admissibility testing for Schinzel sequences
	\|}		\|}

← Older revision		Revision as of 13:53, 8 June 2014
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	3,400,000,000? [m=5] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258411 Castryck])		3,400,000,000? [m=5] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258411 Castryck])

	5,511? [EH] [m=3] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258433 Sutherland])		5,511 [EH] [m=3] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258433 Sutherland])

	2,114,964#? [m=3] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258451 Sutherland])		2,114,964#? [m=3] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258451 Sutherland])
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	[http://math.mit.edu/~drew/admissible_309954_4146936.txt 4,146,936]? [EH] [m=5] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258528 Sutherland])		[http://math.mit.edu/~drew/admissible_309954_4146936.txt 4,146,936]? [EH] [m=5] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258528 Sutherland])

	[http://math.mit.edu/~drew/admissible_5511_52116.txt 52,116]? [EH] [m=3] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258528 Sutherland])		[http://math.mit.edu/~drew/admissible_5511_52116.txt 52,116] [EH] [m=3] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258528 Sutherland])

	[http://math.mit.edu/~drew/admissible_41589_474600.txt 474,600]? [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258529 Sutherland])		[http://math.mit.edu/~drew/admissible_41589_474600.txt 474,600]? [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-258529 Sutherland])
Line 816:		Line 816:
	\| [http://math.mit.edu/~drew/admissible_41588_474296.txt 474,296]? [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-259813 Sutherland])		\| [http://math.mit.edu/~drew/admissible_41588_474296.txt 474,296]? [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-259813 Sutherland])

	[http://math.mit.edu/~drew/admissible_309661_4137854.txt 4,137,854]? [EH] [m=5] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-259813 Sutherland])		[http://math.mit.edu/~drew/admissible_309661_4137854.txt 4,137,854] [EH] [m=5] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comment-259813 Sutherland])
	\|		\|
	\|-		\|-
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	\|		\|
	\|		\|
	\| [http://math.mit.edu/~drew/admissible_41588_474266.txt 474,266]? [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comments Sutherland])		\| [http://math.mit.edu/~drew/admissible_41588_474266.txt 474,266] [EH] [m=4] ([http://terrytao.wordpress.com/2013/12/20/polymath8b-iv-enlarging-the-sieve-support-more-efficient-numerics-and-explicit-asymptotics/#comments Sutherland])
	\|		\|
	\|-		\|-
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	\| Apr 17		\| Apr 17
	\|		\|
	\| [http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m2_35410.mpl 35,410]? [m=2]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])		\| [http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m2_35410.mpl 35,410] [m=2]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])
	[http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m3_1649821.mpl 1,649,821]? [m=3]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])		[http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m3_1649821.mpl 1,649,821] [m=3]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])

	[http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m4_75845707.mpl 75,845,707]? [m=4]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])		[http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m4_75845707.mpl 75,845,707] [m=4]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])

	[http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m5_3473955908.mpl 3,473,955,908]? [m=5]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])		[http://www.cs.cmu.edu/~xfxie/project/admissible/k0/sol_varpi600d7m5_3473955908.mpl 3,473,955,908] [m=5]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302031 xfxie])
	\|398,646? [m=2]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302101 Sutherland])		\|398,646? [m=2]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-302101 Sutherland])

Line 917:		Line 917:
	\|		\|
	\|		\|
	\| [http://math.mit.edu/~drew/admissible_35410_398130.txt 398,130]? [m=2]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-316813 Sutherland])		\| [http://math.mit.edu/~drew/admissible_35410_398130.txt 398,130] [m=2]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-316813 Sutherland])

	[http://math.mit.edu/~drew/admissible_1649821_24797814.txt 24,797,814]? [m=3]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-316813 Sutherland])		[http://math.mit.edu/~drew/admissible_1649821_24797814.txt 24,797,814] [m=3]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-316813 Sutherland])

	1,526,698,470? [m=4]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-316813 Sutherland])		1,526,698,470? [m=4]* ([http://terrytao.wordpress.com/2014/04/14/polymath8b-x-writing-the-paper-and-chasing-down-loose-ends/#comment-316813 Sutherland])
Line 1,033:		Line 1,033:
	\|		\|
	\| [http://math.mit.edu/~drew/greedy_74487363_1404556152.txt 1,404,556,152]? [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])		\| [http://math.mit.edu/~drew/greedy_74487363_1404556152.txt 1,404,556,152]? [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])
	[http://math.mit.edu/~drew/greedy_75845707_1431556072.txt 1,431,556,072]?* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])		[http://math.mit.edu/~drew/greedy_75845707_1431556072.txt 1,431,556,072]* [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])

	[http://math.mit.edu/~drew/greedy_105754837_2031558336.txt 2,031,558,336]?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])		[http://math.mit.edu/~drew/greedy_105754837_2031558336.txt 2,031,558,336]?# [m=4] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-357073 Sutherland])
Line 1,042:		Line 1,042:
	\|		\|
	\| [http://math.mit.edu/~drew/schinzel_3473955908_80550202480.txt 80,550,202,480]* [m=5] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])		\| [http://math.mit.edu/~drew/schinzel_3473955908_80550202480.txt 80,550,202,480]* [m=5] ([http://terrytao.wordpress.com/2014/05/17/polymath-8b-xi-finishing-up-the-paper/#comment-366807 Sutherland])
			\| Verification of several previous bounds
	\|}		\|}