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For prime ''q'', ''q''# denotes the [[primorial]] 2·3·5·7·...·''q''.
{{As of|2019|9}}, the longest known AP-''k'' is an AP-27. Several examples are known for AP-26. The first to be discovered was found on April 12, 2010 by
:43142746595714191 + 23681770·23#·''n'', for ''n'' = 0 to 25. (23# = 223092870) {{OEIS|id=A204189}}
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