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!)
A081413 a(n) is the smallest p prime such that largest prime divisor of difference nextprime(a(n))-a(n) equals the n-th prime, p(n). 2
3, 23, 139, 113, 1129, 2477, 1327, 30593, 81463, 44293, 34061, 404597, 265621, 155921, 1100977, 1098847, 1349533, 3117299, 6958667, 10343761, 6034247, 49268581, 83751121, 39389989, 166726367, 107534587, 232423823, 253878403 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For n>1 a(n) = A080082(n). - Zak Seidov, Jul 05 2013

LINKS

Table of n, a(n) for n=1..28.

FORMULA

a(n) = min{ p(j) : A006530(p(j+1)-p(j)) = A000040(n) = p(n) }

MATHEMATICA

t=Table[0, {100}]; ma[n_]:=FactorInteger[n][[-1, 1]]; Do[s=ma[Prime[n+1]-Prime[n]]; If[s<101&&t[[PrimePi[s]]]==0, t[[PrimePi[s]]]=Prime[n]], {n, 2, 170000000}]; t

CROSSREFS

Cf. A001223, A006530, A080082, A000230, A000040.

Sequence in context: A031970 A196881 A049164 * A179328 A255952 A089950

Adjacent sequences:  A081410 A081411 A081412 * A081414 A081415 A081416

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 02 2003

EXTENSIONS

Three more terms added from A080082 by Zak Seidov, Jul 05 2013

Typo in Mathematica program fixed by Zak Seidov, Jul 06 2013

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 July 4 09:40 EDT 2020. Contains 335446 sequences. (Running on oeis4.)