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A076757 Primes of the form n + pi(n), that is, generated in A077510. 5
3, 5, 11, 13, 17, 19, 29, 37, 43, 47, 59, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 139, 149, 151, 163, 167, 173, 179, 181, 191, 197, 199, 211, 223, 227, 229, 239, 251, 263, 269, 271, 277, 281, 307, 313, 317, 331, 337, 347 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..6414

FORMULA

a(n) = k+A000720(k) where k=A077510(n). - R. J. Mathar, Nov 19 2011

MAPLE

isA077510 := proc(n)

    isprime(n+numtheory[pi](n)) ;

end proc:

A077510 := proc(n)

    local a;

    if n = 1 then

        return 2;

    else

    for a from procname(n-1)+1 do

        if isA077510(a) then

            return a;

        end if;

    end do:

    end if:

end proc:

A076757 := proc(n)

    local a10 ;

    a10 := A077510(n) ;

    a10+numtheory[pi](a10) ;

end proc:

seq(A076757(n), n=1..40) ; # R. J. Mathar, Nov 19 2011

MATHEMATICA

Select[Table[n + PrimePi[n], {n, 500}], PrimeQ] (* T. D. Noe, Nov 19 2011 *)

PROG

(MAGMA) [a: n in [1..400] | IsPrime(a) where a is (n + #PrimesUpTo(n))]; // Vincenzo Librandi, Jan 29 2017

CROSSREFS

Cf. A000720, A077510.

Sequence in context: A059349 A045316 A040100 * A178942 A045404 A152460

Adjacent sequences:  A076754 A076755 A076756 * A076758 A076759 A076760

KEYWORD

nonn

AUTHOR

David Garber, Nov 13 2002

EXTENSIONS

Name edited by Michel Marcus, Dec 30 2013

STATUS

approved

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Last modified November 23 21:46 EST 2017. Contains 295141 sequences.