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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096830 Number of primes in neighborhood with center=n! and radius=Ceiling[Log[n! ]]. 9
0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 4, 3, 1, 3, 0, 1, 1, 1, 0, 3, 5, 1, 0, 0, 1, 2, 4, 1, 3, 1, 1, 2, 4, 0, 2, 0, 2, 5, 2, 5, 2, 4, 4, 5, 3, 3, 1, 5, 3, 3, 0, 3, 4, 1, 3, 2, 1, 1, 1, 1, 1, 3, 2, 2, 2, 0, 3, 2, 4, 4, 0, 4, 4, 2, 3, 5, 3, 1, 1, 8, 1, 2, 2, 1, 2, 2, 0, 1, 3, 5, 2, 2, 4, 2, 5, 3, 5, 2, 5, 2, 2, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

FORMULA

a[n]=A096509[n! ]=A096509[A000142(n)]

EXAMPLE

n=8,8!=40320,radius=11,a[8]=0 because no primes in the neighborhood.

MATHEMATICA

{ta=Table[0, {1000}], u=1}; Do[s=Count[Table[PrimeQ[n!+i], {i, -Ceiling[Log[n! ]//N], Ceiling[Log[n! ]//N]}], True]; Print[{n, s}]; ta[[u]]=s; u=u+1, {n, 1, 1000}]; ta

CROSSREFS

Cf. A096509-A096523, A000142.

Sequence in context: A194853 A287150 A257109 * A141647 A001617 A282947

Adjacent sequences:  A096827 A096828 A096829 * A096831 A096832 A096833

KEYWORD

nonn

AUTHOR

Labos Elemer, Jul 14 2004

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 October 17 08:51 EDT 2018. Contains 316276 sequences. (Running on oeis4.)