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A046420 Prime factors of repunit of length a(n) are all of different lengths. 2

%I #20 May 14 2022 16:05:36

%S 1,2,3,4,5,7,11,14,17,19,23,31,34,37,38,41,43,47,49,51,53,57,59,62,67,

%T 69,71,73,74,79,83,85,86,89,93,94,97,101,103,106,109,113,115,118,119,

%U 129,134,137,139,141,142,146,149,151,157,159,163

%N Prime factors of repunit of length a(n) are all of different lengths.

%H Max Alekseyev, <a href="/A046420/b046420.txt">Table of n, a(n) for n = 1..117</a> (first 107 terms from Ray Chandler)

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Repunit.html">Repunit</a>

%e a(n)=14 -> 11*239*4649*909091 -> (2)(3)(4)(6) all of different lengths.

%t Select[Range[60],Length[fi=FactorInteger[(10^#-1)/9]]== Plus@@Last/@fi==Length[Union[IntegerLength/@First/@fi]]&] (* _Ray Chandler_, Apr 24 2017 *)

%Y Cf. A000042, A004022, A046053.

%K nonn,base

%O 1,2

%A _Patrick De Geest_, Jul 15 1998

%E Offset changed to 1 and more terms added by _Ray Chandler_, Apr 24 2017

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Last modified April 16 14:51 EDT 2024. Contains 371749 sequences. (Running on oeis4.)