most recent 30 from http://mathoverflow.net 2013-06-19T12:42:57Z http://mathoverflow.net/feeds/user/12229 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/52101/longest-coinciding-pair-of-integer-sequences-known/52121#52121 N S 2011-01-14T21:47:01Z 2011-01-14T21:47:01Z

<p>Sorry not enough points to post a comment so had to make this an answer.</p> <p>Not really the most natural sequences, but the sequences $a_n^{(k)}$ of positive integers which have at most $k$ distinct prime factors coincide a lot (among themselves and with the integers). </p> <p>The first term not in $a_n^{(k)}$ is $p_1\cdot p_2 .... \cdot p_{k+1}$. </p>

http://mathoverflow.net/questions/52101/longest-coinciding-pair-of-integer-sequences-known/52121#52121 N S 2011-01-15T02:45:41Z 2011-01-15T02:45:41Z

true, but once $k=4$ becomes a record, $k=5$ beats it and so on :D