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A075902 Primes p = prime(k) such that the decimal representation of p contains k as a substring. 6
17, 64553, 64567, 64577, 64591, 64601, 64661, 99551, 4303027, 6440999, 14968819, 95517973, 527737957, 1893230839, 1966640443, 1246492090901 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

prime(k) = 1966640443 for k=96664044. This is the first case in which k is an internal string of prime(k). - Carlos Rivera, Jun 16 2004

2*10^12 < a(17) <= 12426836115943. a(18) <= 21732382677641. a(19) <= 154895576080181. - Donovan Johnson, May 08 2010

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

Pairs {n, prime(n)}: {7, 17}, {6455, 64553}, {6456, 64567}, {6457, 64577}, {6459, 64591}, {6460, 64601}, {6466, 64661}, {9551, 99551}, {303027, 4303027}, {440999, 6440999}, {968819, 14968819}, {5517973, 95517973}.

MATHEMATICA

Prime[Select[Range[10^6], StringContainsQ[ToString[Prime[#]], ToString[#]] & ]] (* Robert Price, May 27 2019 *)

CROSSREFS

Cf. A067248, A046883, A075902.

Sequence in context: A125040 A125042 A138942 * A013760 A078351 A046883

Adjacent sequences:  A075899 A075900 A075901 * A075903 A075904 A075905

KEYWORD

more,base,nonn

AUTHOR

Zak Seidov, Sep 27 2002

EXTENSIONS

3 more terms from Carlos Rivera, Jun 16 2004

a(16) from Donovan Johnson, May 08 2010

STATUS

approved

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Last modified February 17 18:14 EST 2020. Contains 332005 sequences. (Running on oeis4.)