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

3, 13, 757, 1093, 797161

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 A357855 A368297

Adjacent sequences: A173756 A173757 A173758 * A173760 A173761 A173762

Keyword

more,nonn

Author

T. D. Noe, Feb 23 2010

Status

approved