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A173759 Prime numbers p such that 1/p is in the Cantor set. 0

%I #7 Aug 17 2013 22:53:59

%S 3,13,757,1093,797161

%N Prime numbers p such that 1/p is in the Cantor set.

%C These are the prime numbers in A121153. Some of these primes are in A076481, the base-3 repunit primes, which have the form (3^n-1)/2. However, 757 has base-3 representation 1001001 and a base-27 representation 111. Are more exceptions?

%C Contains A076481 as a subsequence, implying that a(6) <= A076481(4) = 3754733257489862401973357979128773. - _Max Alekseyev_, Aug 17 2013

%H Christian Salas, <a href="http://arxiv.org/abs/0906.0465">On Prime Reciprocals in the Cantor Set</a>, arXiv:0906.0465 [math.NT]

%e 3 is here because 1/3 can be written 0.02222222...

%K more,nonn

%O 1,1

%A _T. D. Noe_, Feb 23 2010

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)