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 A008950 Increasing length runs of consecutive composite numbers (starting points). 7
 4, 8, 24, 90, 114, 524, 888, 1130, 1328, 9552, 15684, 19610, 31398, 155922, 360654, 370262, 492114, 1349534, 1357202, 2010734, 4652354, 17051708, 20831324, 47326694, 122164748, 189695660, 191912784, 387096134, 436273010, 1294268492 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are runs of n consecutive composite numbers for every n. For example, the n numbers (n+1)!+2 ... (n+1)!+n+1 are composite. Such a run may start of course earlier than this. - Joerg Arndt, May 01 2013 LINKS Jens Kruse Andersen, Table of n, a(n) for n=1..74 (using A002386) Jens Kruse Andersen, The Top-20 Prime Gaps Jens Kruse Andersen, New record prime gap Jens Kruse Andersen, Maximal gaps Eric Weisstein's World of Mathematics, Prime Gaps. J. Young and A. Potler, First occurrence prime gaps, Math. Comp., 52 (1989), 221-224. FORMULA a(n) = A002386(n+1)+1. a(n) <= (n+1)! + 2. [Joerg Arndt, May 01 2013] MATHEMATICA maxGap = 1; Reap[Do[p = Prime[n]; gap = Prime[n+1] - p; If[gap > maxGap, Print[p+1]; Sow[p+1]; maxGap = gap], {n, 2, 10^8 }]][[2, 1]] (* Jean-François Alcover, Jun 15 2012 *) CROSSREFS Cf. A008995, A008996. Sequence in context: A265185 A240530 A303882 * A045881 A303989 A052578 Adjacent sequences:  A008947 A008948 A008949 * A008951 A008952 A008953 KEYWORD nonn,nice AUTHOR Mark Cramer (m.cramer(AT)qut.edu.au). Computed by Dennis Yelle (dennis(AT)netcom.com). STATUS approved

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Last modified October 18 03:25 EDT 2019. Contains 328135 sequences. (Running on oeis4.)