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A205956 Distinct primes occurring as not necessarily consecutive subsequences in decimal representation of 39467139. 3
3, 7, 13, 19, 31, 37, 41, 43, 47, 61, 67, 71, 73, 79, 97, 139, 313, 347, 349, 367, 373, 379, 397, 419, 439, 461, 463, 467, 479, 613, 619, 673, 719, 739, 919, 941, 947, 967, 971, 3413, 3461, 3463, 3467, 3469, 3613, 3671, 3673, 3719, 3739, 3919, 3943, 3947 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

39467139 is the smallest number containing exactly 100 primes: A094535(100) = 39467139, A039995(39467139) = 100; 39467139 itself is not prime: 39467139 = 3*53*89*2789.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..100 (full sequence)

EXAMPLE

a(10) = 61        <- ___6_1__;

a(20) = 367       <- 3__67___;

a(30) = 613       <- ___6_13_;

a(40) = 3413      <- 3_4__13_;

a(50) = 3919      <- 39___1_9;

a(60) = 9419      <- _94__1_9;

a(70) = 9719      <- _9__71_9;

a(80) = 39439     <- 394___39;

a(90) = 346139    <- 3_46_139;

a(100) = 3946139  <- 3946_139.

PROG

(Haskell)

import Data.List (subsequences, nub, sort)

a205956 n = a205956_list !! (n-1)

a205956_list = sort $ filter ((== 1) . a010051) $

                      nub $ map read (tail $ subsequences "39467139")

CROSSREFS

Cf. A010051.

Sequence in context: A031215 A099957 A086148 * A167462 A215907 A007645

Adjacent sequences:  A205953 A205954 A205955 * A205957 A205958 A205959

KEYWORD

nonn,base,fini,full

AUTHOR

Reinhard Zumkeller, Feb 02 2012

STATUS

approved

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Last modified August 29 05:24 EDT 2015. Contains 261185 sequences.