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!)
A249627 Product of the lowest and highest prime factors of n-th repunit A002275(n). 1

%I #16 May 04 2021 17:23:30

%S 121,111,1111,11111,111,1111111,1507,1001001,100001,11111111111,29703,

%T 14064697609,10000001,8718483,64705883,11111111111111111,1001001,

%U 1234567901234567900987654320987654321,307571,32516067,5645629,123456790123456790123454320987654320987654321

%N Product of the lowest and highest prime factors of n-th repunit A002275(n).

%H Chai Wah Wu, <a href="/A249627/b249627.txt">Table of n, a(n) for n = 2..322</a>

%H P. De Geest, <a href="http://www.worldofnumbers.com/repunits.htm">Repunits and Their Factors</a>

%e Highest and lowest prime factors of 111111 are 3 and 37, so the sixth term is 111.

%t plh[n_]:=Module[{fi=FactorInteger[FromDigits[PadRight[{},n,1]]]},fi[[1,1]]fi[[-1,1]]]; Array[plh,30,2] (* _Harvey P. Dale_, May 04 2021 *)

%o (PARI) for(n=2,20,p=(10^n-1)/9;print1(factor(p)[1,1]*factor(p)[#factor(p)[,1],1],", ")) \\ _Derek Orr_, Nov 02 2014

%o (Python)

%o from sympy import factorint

%o A249627_list = [min(fs)*max(fs) for fs in (factorint((10**n-1)//9) for n in range(2,31))] # _Chai Wah Wu_, Nov 04 2019

%Y Cf. A002275.

%K nonn,base

%O 2,1

%A _Jacob Vecht_, Nov 02 2014

%E More terms from _Derek Orr_, Nov 02 2014

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 16 12:05 EDT 2024. Contains 371711 sequences. (Running on oeis4.)