https://number.subwiki.org/w/index.php?action=history&feed=atom&title=Infinitude_conjecture_for_regular_primesInfinitude conjecture for regular primes - Revision history2026-04-13T13:50:11ZRevision history for this page on the wikiMediaWiki 1.41.2https://number.subwiki.org/w/index.php?title=Infinitude_conjecture_for_regular_primes&diff=39&oldid=prevVipul: Created page with '{{infinitude conjecture|regular prime}} ==Statement== The conjecture is that there exist infinitely many regular primes. A regular prime is a prime for which the correspond...'2009-04-06T22:35:12Z<p>Created page with '{{infinitude conjecture|regular prime}} ==Statement== The conjecture is that there exist infinitely many <a href="/wiki/Regular_prime" title="Regular prime">regular primes</a>. A regular prime is a prime for which the correspond...'</p>
<p><b>New page</b></p><div>{{infinitude conjecture|regular prime}}<br />
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==Statement==<br />
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The conjecture is that there exist infinitely many [[regular prime]]s. A regular prime is a prime for which the corresponding [[cyclotomic ring]] is a [[unique factorization domain]], or equivalently, a ring whose class number is one.<br />
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==Relation with other conjectures==<br />
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===Stronger conjectures===<br />
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* [[Distribution conjecture for regular primes]]: This conjecture states that the limit, as <math>n</math> tends to <math>\infty</math>, of the fraction of primes less than <math>n</math> that are regular, is <math>e^{-1/2} \simeq 0.6065</math>.</div>Vipul