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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-Fran├žois 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 May 23 03:19 EDT 2018. Contains 304447 sequences. (Running on oeis4.)