Green-Tao theorem - Revision history

Vipul: /* Relation with other facts/conjectures */

2010-05-02T02:07:04Z

Relation with other facts/conjectures

← Older revision		Revision as of 02:07, 2 May 2010
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	==Relation with other facts/conjectures==		==Relation with other facts/conjectures==

	===Stronger facts===		===Stronger facts/conjectures===

	* [[Weaker than::Erdős conjecture on arithmetic progressions]]		* [[Weaker than::Erdős conjecture on arithmetic progressions]]
	* [[Weaker than::Tao-Ziegler theorem on primes in polynomial progressions]]		* [[Weaker than::Tao-Ziegler theorem on primes in polynomial progressions]]
	* [[Weaker than::Zhou's theorem on arbitrarily large arithmetic progressions of Chen primes]]		* [[Weaker than::Zhou's theorem on arbitrarily large arithmetic progressions of Chen primes]]

Vipul at 02:06, 2 May 2010

2010-05-02T02:06:40Z

← Older revision		Revision as of 02:06, 2 May 2010
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	* [[Weaker than::Erdős conjecture on arithmetic progressions]]		* [[Weaker than::Erdős conjecture on arithmetic progressions]]
	* [[Weaker than::Tao-Ziegler theorem on primes in polynomial progressions]]		* [[Weaker than::Tao-Ziegler theorem on primes in polynomial progressions]]
			* [[Weaker than::Zhou's theorem on arbitrarily large arithmetic progressions of Chen primes]]

Vipul at 02:17, 9 February 2010

2010-02-09T02:17:17Z

← Older revision		Revision as of 02:17, 9 February 2010
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	==Statement==		==Statement==

	This states that for any positive integer <math>k</math>, there exists a [[prime arithmetic progression]] of length <math>k</math>, i.e., an arithmetic progression of length <math>k</math> all of whose members ~~were primes~~.		This states that for any positive integer <math>k</math>, there exists a [[fact about::prime arithmetic progression]] of length <math>k</math>, i.e., an [[fact about::arithmetic progression]] of length <math>k</math> all of whose members are [[prime number]]s.

	==Relation with other facts/conjectures==		==Relation with other facts/conjectures==

Vipul at 02:15, 9 February 2010

2010-02-09T02:15:48Z

← Older revision		Revision as of 02:15, 9 February 2010
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	==History==		==History==

	This result is a special case of the [[Erdős conjecture on arithmetic progressions]], which states that any [[large set]] contains an arithmetic progression. (It is a special case because the [[set of primes is large]]).		This result is a special case of the [[Erdős conjecture on arithmetic progressions]], which states that any [[large set]] contains aribtrarily long arithmetic progression. (It is a special case because the [[set of primes is large]]).

	==Statement==		==Statement==

Vipul: Created page with '==History== This result is a special case of the Erdős conjecture on arithmetic progressions, which states that any large set contains an arithmetic progression. (It is…'

2010-02-09T02:11:20Z

Created page with '==History== This result is a special case of the Erdős conjecture on arithmetic progressions, which states that any large set contains an arithmetic progression. (It is…'

New page

==History==

This result is a special case of the [[Erdős conjecture on arithmetic progressions]], which states that any [[large set]] contains an arithmetic progression. (It is a special case because the [[set of primes is large]]).

==Statement==

This states that for any positive integer <math>k</math>, there exists a [[prime arithmetic progression]] of length <math>k</math>, i.e., an arithmetic progression of length <math>k</math> all of whose members were primes.

==Relation with other facts/conjectures==

===Stronger facts===

* [[Weaker than::Erdős conjecture on arithmetic progressions]]
* [[Weaker than::Tao-Ziegler theorem on primes in polynomial progressions]]