login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A008995 Increasing length runs of consecutive composite numbers (endpoints). 7
4, 10, 28, 96, 126, 540, 906, 1150, 1360, 9586, 15726, 19660, 31468, 156006, 360748, 370372, 492226, 1349650, 1357332, 2010880, 4652506, 17051886, 20831532, 47326912, 122164968, 189695892, 191913030 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

Netnews group rec.puzzles, circa Mar 01 1996 (I would like to get the exact reference).

LINKS

Table of n, a(n) for n=1..27.

The rec.puzzles archive, Arithmetic Question 8 - consecutive.composites, The Math Forum

Usenet rec.puzzles Archive, Consecutive Composites, June 2005

Usenet rec.puzzles Archive, Cons. Comp. Solution, June 2005

Eric Weisstein's World of Mathematics, Prime Gaps.

MATHEMATICA

maxGap = 1; Reap[ Do[ gap = Prime[n + 1] - (p = Prime[n]); If[gap > maxGap, Print[p + gap - 1]; Sow[p + gap - 1]; maxGap = gap], {n, 2, 10^8}]][[2, 1]] (* Jean-Fran├žois Alcover, Jun 12 2013 *)

CROSSREFS

Cf. A008950, A008996. Also A008995(n) = A000101(n+1)-1.

Sequence in context: A061639 A243600 A239577 * A111236 A164361 A006907

Adjacent sequences:  A008992 A008993 A008994 * A008996 A008997 A008998

KEYWORD

nonn

AUTHOR

Mark Cramer (m.cramer(AT)qut.edu.au). Computed by Dennis Yelle (dennis(AT)netcom.com).

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified March 29 13:17 EDT 2017. Contains 284270 sequences.