https://number.subwiki.org/w/index.php?action=history&feed=atom&title=Erd%C5%91s_conjecture_on_arithmetic_progressions 2026-04-28T21:41:55Z Revision history for this page on the wiki MediaWiki 1.41.2 https://number.subwiki.org/w/index.php?title=Erd%C5%91s_conjecture_on_arithmetic_progressions&diff=463&oldid=prev 2010-02-09T02:13:57Z

<p>Created page with &#039;==Statement== Every <a href="/wiki/Large_set" title="Large set">large set</a> of natural numbers, i.e., every subset of the set of natural numbers whose sum of reciprocals diverges, contains aribtrarily long [[arithmetic …&#039;</p> <p><b>New page</b></p><div>==Statement==<br /> <br /> Every [[large set]] of natural numbers, i.e., every subset of the set of natural numbers whose sum of reciprocals diverges, contains aribtrarily long [[arithmetic progression]]s.<br /> <br /> ==Relation with other facts/conjectures==<br /> <br /> ===Weaker facts===<br /> <br /> {| class=&quot;sortable&quot; border=&quot;1&quot;<br /> ! Name !! Statement !! Proof of implication<br /> |-<br /> | [[Green-Tao theorem]] || This states that the set of primes contains arbitrarily long arithmetic progressions || [[set of primes is large]]<br /> |}</div>

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