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A156152 Primes p such that p = 2 (mod pi(p)), where pi(p) = A000720(p) is the prime counting function. 4
2, 5, 41, 47, 347, 367, 9559817, 514272793, 514274807, 514275529, 3779851091, 27788568469, 27788573621, 204475055227, 11091501631937, 81744303098923, 602656752070661, 602656752071189, 241849345578327359, 241849345578328451, 241849345578337811, 1784546064357416683 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

a(n) = A000040(A023144(n)).

MATHEMATICA

f[p_, n_]:=Mod[p, n]==2; lst={}; Do[p=Prime[n]; If[f[p, n], AppendTo[lst, p]], {n, 11!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 08 2009 *)

PROG

(PARI) p=c=0; until(0, (-2+p=nextprime(p+1))%c++ || print1(p, ", "))

CROSSREFS

Cf. A156151, A156153 (primes from this sequence).

Sequence in context: A162035 A245242 A004096 * A106885 A072439 A286560

Adjacent sequences:  A156149 A156150 A156151 * A156153 A156154 A156155

KEYWORD

nonn

AUTHOR

M. F. Hasler, Feb 04 2009

EXTENSIONS

More terms from Max Alekseyev, May 03 2009

a(15)-a(16) from Jinyuan Wang, Feb 22 2020

Terms a(17) and beyond from Giovanni Resta, Feb 23 2020

STATUS

approved

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Last modified July 28 07:49 EDT 2021. Contains 346321 sequences. (Running on oeis4.)