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A187614 Primes p such that the decimal representation of 1/p does not contain every digit 0-9. 3
2, 3, 5, 7, 11, 13, 31, 37, 41, 43, 67, 73, 79, 101, 137, 239, 271, 353, 449, 757, 859, 1933, 4649, 8779, 9091, 9901, 21401, 21649, 25601, 27961, 52579, 62003, 123551, 333667, 513239, 538987, 909091, 1676321, 2071723, 2906161, 5882353, 10838689, 35121409, 52986961, 99990001, 265371653, 1056689261, 1058313049, 1360682471 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every repunit prime (A004022) is here. There are 113 terms of A046107, having periods of up to 256, that are here. The only known unique-period prime (A007615) not here is the one having period 92092. Is this sequence finite? - T. D. Noe, Mar 13 2011

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

4649 is in the sequence because 1/4649 = .00021510002151000215.... contain

  only the digits 0, 1, 2 and 5.

MATHEMATICA

Join[{2, 3, 5}, Select[Prime[Range[4, 10000]], Length[Union[RealDigits[1/#][[1, 1]]]] < 10 &]]

CROSSREFS

Cf. A187372.

Sequence in context: A067908 A236128 A262283 * A191077 A262377 A237600

Adjacent sequences:  A187611 A187612 A187613 * A187615 A187616 A187617

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Mar 12 2011

EXTENSIONS

Extended by T. D. Noe, Mar 12 2011

STATUS

approved

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Last modified July 18 07:10 EDT 2019. Contains 325134 sequences. (Running on oeis4.)