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!)
A161786 Primes with at least one digit appearing exactly four times in the decimal expansion. 5

%I #9 Feb 21 2019 23:14:55

%S 10111,11113,11117,11119,11131,11161,11171,11311,11411,16111,22229,

%T 23333,31333,33331,33343,33353,33533,38333,44449,47777,49999,59999,

%U 67777,71777,76777,77377,77477,77747,77773,77797,77977,79777,79999,88883,94999,97777

%N Primes with at least one digit appearing exactly four times in the decimal expansion.

%C The sequence is probably infinite.

%H Harvey P. Dale, <a href="/A161786/b161786.txt">Table of n, a(n) for n = 1..2000</a>

%e 101117 has exactly four 1s.

%p isdgctm := proc(n,d) local dgs,a,i ; dgs := convert(n,base,10) ; a := [seq(0,j=0..9)] ;

%p for i in dgs do a := subsop(i+1=op(i+1,a)+1,a) ; od: if convert(a,set) intersect {d} <> {} then true; else false; fi; end:

%p for n from 1 to 10000 do p := ithprime(n) ; if isdgctm(p,4) then printf("%d,",p) ; fi; od: # _R. J. Mathar_, Jun 21 2009

%t Select[Prime[Range[186,10000]],MemberQ[DigitCount[#],4]&] (* _Harvey P. Dale_, Apr 12 2015 *)

%K nonn,base

%O 1,1

%A _Ki Punches_, Jun 19 2009

%E Edited and corrected by _R. J. Mathar_, Jun 21 2009

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 June 4 15:24 EDT 2024. Contains 373099 sequences. (Running on oeis4.)