The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A076757 Primes of the form n + pi(n), that is, generated in A077510. 5

%I #22 Sep 08 2022 08:45:07

%S 3,5,11,13,17,19,29,37,43,47,59,67,71,73,79,83,89,97,101,103,107,109,

%T 113,127,131,139,149,151,163,167,173,179,181,191,197,199,211,223,227,

%U 229,239,251,263,269,271,277,281,307,313,317,331,337,347

%N Primes of the form n + pi(n), that is, generated in A077510.

%H Indranil Ghosh, <a href="/A076757/b076757.txt">Table of n, a(n) for n = 1..6414</a>

%F a(n) = k+A000720(k) where k=A077510(n). - _R. J. Mathar_, Nov 19 2011

%p isA077510 := proc(n)

%p isprime(n+numtheory[pi](n)) ;

%p end proc:

%p A077510 := proc(n)

%p local a;

%p if n = 1 then

%p return 2;

%p else

%p for a from procname(n-1)+1 do

%p if isA077510(a) then

%p return a;

%p end if;

%p end do:

%p end if:

%p end proc:

%p A076757 := proc(n)

%p local a10 ;

%p a10 := A077510(n) ;

%p a10+numtheory[pi](a10) ;

%p end proc:

%p seq(A076757(n),n=1..40) ; # _R. J. Mathar_, Nov 19 2011

%t Select[Table[n + PrimePi[n], {n, 500}], PrimeQ] (* _T. D. Noe_, Nov 19 2011 *)

%o (Magma) [a: n in [1..400] | IsPrime(a) where a is (n + #PrimesUpTo(n))]; // _Vincenzo Librandi_, Jan 29 2017

%Y Cf. A000720, A077510.

%K nonn

%O 1,1

%A _David Garber_, Nov 13 2002

%E Name edited by _Michel Marcus_, Dec 30 2013

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 15 20:08 EDT 2024. Contains 372549 sequences. (Running on oeis4.)