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A093782
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a(n) is the smallest initial value (a prime) for the Euclid-Mullin (EM) sequence in which the p=5 prime emerges as n-th term, i.e., arises at the n-th position.
(history;
published version)
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#17 by N. J. A. Sloane at Thu Oct 19 10:43:04 EDT 2017
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a(16) = 449 was conjectured by R. J. Mathar and confirmed by _Don Reble, _, Oct 07 2006
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Discussion
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Thu Oct 19
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| OEIS Server: https://oeis.org/edit/global/2707
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#16 by Jon E. Schoenfield at Fri Mar 13 23:07:47 EDT 2015
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#15 by Jon E. Schoenfield at Fri Mar 13 23:07:45 EDT 2015
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Corrected by _R. J. Mathar, _, Oct 06 2006
a(16) = 449 was conjectured by _R. J. Mathar _ and confirmed by Don Reble, Oct 07 2006
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#14 by Jon E. Schoenfield at Fri Mar 13 23:07:28 EDT 2015
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| NAME
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a(n) is the smallest initial value (a prime) for the Euclid-Mullin(= (EM) sequence in which the p=5 prime emerges as n-th term, i.e. ., arises at the n-th position.
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| COMMENTS
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a(31)>=8581. [. [_Sean A. Irvine, _, Oct 31, 2011.]]
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approved
editing
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#13 by N. J. A. Sloane at Tue Oct 15 22:32:23 EDT 2013
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| AUTHOR
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_Labos E. (labos(AT)ana.sote.hu), Elemer_, May 04 2004
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Discussion
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Tue Oct 15
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| OEIS Server: https://oeis.org/edit/global/2029
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#12 by Russ Cox at Fri Mar 30 18:39:34 EDT 2012
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a(25)-a(30) from _Sean A. Irvine (sairvin(AT)xtra.co.nz), _, Oct 30 2011
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Discussion
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Fri Mar 30
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| OEIS Server: https://oeis.org/edit/global/220
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#11 by Russ Cox at Fri Mar 30 17:38:03 EDT 2012
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a(19)-a(24) from _David Wasserman (dwasserm(AT)earthlink.net), _, Apr 20 2007
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Discussion
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Fri Mar 30
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| OEIS Server: https://oeis.org/edit/global/184
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#10 by T. D. Noe at Mon Oct 31 11:22:47 EDT 2011
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#9 by Sean A. Irvine at Sun Oct 30 20:23:51 EDT 2011
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#8 by Sean A. Irvine at Sun Oct 30 20:23:27 EDT 2011
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a[(n] ) is the smallest initial value (a prime) for the Euclid-Mullin(=EM) sequence in which the p=5 prime emerges as n-th term, i.e. arises at the n-th position.
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| DATA
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5, 0, 17, 19, 127, 61, 2, 31, 97, 13, 23, 269, 53, 239, 181, 449, 541, 11, 953, 1741, 179, 1889, 823, 3209, 13619, 383, 6971, 10331, 45959, 13721
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The sequence is not monotonic and it seems that p=5 may arise at any position > 2. a[(2]=)=0 means that 5 is never the 2nd term in an EM sequence of A000945-type because a[(2]=)=2 or 3.
a(25) > 8000. a(26) = 383. a(27) = 6971. - David Wasserman (dwasserm(AT)earthlink.net), Apr 20 2007
a(31)>=8581. [Sean A. Irvine, Oct 31, 2011.]
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a(25)-a(30) from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 30 2011
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| STATUS
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approved
editing
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