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!)
A077514 Largest n-digit squarefree number beginning with n. 1

%I #17 Apr 30 2015 16:35:55

%S 29,399,4999,59999,699999,7999999,89999999,999999998,1099999999,

%T 11999999999,129999999999,1399999999999,14999999999999,

%U 159999999999999,1699999999999999,17999999999999999,189999999999999997

%N Largest n-digit squarefree number beginning with n.

%C Let d = n - number of digits in n. Question: Is n*10^d -1 always a squarefree number?

%C If 9 divides n-1, then 9 divides n*10^d-1, so it is not squarefree. - _Enrique PĂ©rez Herrero_, Apr 15 2015

%p a:= proc(n) local d,k;

%p d:= ilog10(n)+1;

%p for k from (n+1)*10^(n-d)-1 by -1 do

%p if numtheory:-issqrfree(k) then return(k) fi

%p od

%p end proc:

%p seq(a(n), n=2..50); # _Robert Israel_, Apr 17 2015

%Y Cf. A077513.

%K base,nonn

%O 2,1

%A _Amarnath Murthy_, Nov 08 2002

%E More terms from _Sascha Kurz_, Jan 04 2003

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 April 23 02:53 EDT 2024. Contains 371906 sequences. (Running on oeis4.)