login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A116496 Numbers n such that difference between n-th prime and next prime is 100. 25
33608, 66762, 100978, 124508, 125049, 172619, 202315, 233905, 256422, 286306, 306691, 320569, 326694, 334412, 362134, 374275, 382591, 395155, 414640, 428335, 440270, 467181, 493060, 511698, 518536, 555912, 561795, 567479, 590434, 592581 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

p(33609) - p(33608) = 396833 - 396733 = 100.

MATHEMATICA

PrimePi/@Transpose[Select[Partition[Prime[Range[600000]], 2, 1], #[[2]]-#[[1]] == 100&]][[1]] (* Harvey P. Dale, Sep 22 2013 *)

PROG

(PARI) lista(nn) = {my(i=0, q=2); forprime(p=3, nn, i++; if(p-q==100, print1(i, ", ")); q=p); } \\ Jinyuan Wang, Jan 29 2020

CROSSREFS

Cf. A116493, A116495, A116497.

Sequence in context: A236197 A217565 A142587 * A235667 A235663 A235428

Adjacent sequences:  A116493 A116494 A116495 * A116497 A116498 A116499

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 18 2006

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 5 13:14 EDT 2020. Contains 333241 sequences. (Running on oeis4.)