A093782 - OEIS

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A093782

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.

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 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`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(31)>=8581. [Sean A. Irvine, Oct 31, 2011.]`
	EXAMPLE	`The sequence for 17 is 17, 2, 5, ... where the 5 is at the third place, therefore a(3)=17.` `For n=15 we have the sequence 181, 2, 3, 1087, 73, 7, 29, 151, 61, 98689, 11, 10929259909, 678859, 97, 5, ...` `a(16) = 449 uses the sequence 449, 2, 29, 3, 7, 349, 190861819, 166273, 16091, 11, 3807491, 53, 17, 313, 23, 5, ...` `The sequence for 11 is 11, 2, 23, 3, 7, 13, 10805892983887, 73, 6397, 19, 489407, 2753, 87491, 18618443, 5, ... with the 5 at the 18th place, so a(18)=11.`
	CROSSREFS	`Cf. A000945, A051308-A051334, A056756, A093777-A093781.` `Sequence in context: A167297 A027635 A022920 * A085105 A094031 A056461` `Adjacent sequences: A093779 A093780 A093781 * A093783 A093784 A093785`
	KEYWORD	`more,nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), May 04 2004`
	EXTENSIONS	`Corrected by R. J. Mathar, Oct 06 2006` `a(16) = 449 was conjectured by Mathar and confirmed by Don Reble, Oct 07 2006` `a(19)-a(24) from David Wasserman (dwasserm(AT)earthlink.net), Apr 20 2007` `a(25)-a(30) from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 30 2011`

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.