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A173759 Prime numbers p such that 1/p is in the Cantor set. 0
3, 13, 757, 1093, 797161 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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?

Contains A076481 as a subsequence, implying that a(6) <= A076481(4) = 3754733257489862401973357979128773. - Max Alekseyev, Aug 17 2013

LINKS

Table of n, a(n) for n=1..5.

Christian Salas, On Prime Reciprocals in the Cantor Set, arXiv:0906.0465 [math.NT]

EXAMPLE

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

CROSSREFS

Sequence in context: A222762 A290376 A089711 * A001039 A065831 A092540

Adjacent sequences:  A173756 A173757 A173758 * A173760 A173761 A173762

KEYWORD

more,nonn

AUTHOR

T. D. Noe, Feb 23 2010

STATUS

approved

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Last modified August 12 09:05 EDT 2020. Contains 336438 sequences. (Running on oeis4.)