A182051 -id:A182051 - cp's OEIS frontend

A182040 Integers whose decimal representation consists of three distinct digits, one appearing once, one appearing twice, and one appearing three times.

100012, 100013, 100014, 100015, 100016, 100017, 100018, 100019, 100021, 100022, 100031, 100033, 100041, 100044, 100051, 100055, 100061, 100066, 100071, 100077, 100081, 100088, 100091, 100099, 100102, 100103, 100104, 100105, 100106, 100107, 100108, 100109, 100112

Offset: 1

Jonathan Vos Post, Apr 09 2012

There are 38880 terms, including 41 squares (A182098) and 3640 primes (A182092). - Zak Seidov, Apr 12 2012

This is the subsequence of A218556 consisting of terms with indices n = 254, ..., 39133. The number of terms is 38880 = A218566(10,3), the starting index is 254 = 1 + A218566(10,1) + A218566(10,2) + 1. - M. F. Hasler, Nov 02 2012

Charles R Greathouse IV, Table of n, a(n) for n = 1..38880 (complete sequence)

Cf. A071925, A181986 (digitally balanced numbers: ternary numbers which have the same number of 0's as 1's as 2's), A182051 (primes with a majority of one digit).

t = Select[Range[100000, 999999], Sort[Transpose[Tally[IntegerDigits[#]]][[2]]] == {1, 2, 3} &]; Take[t, 32] (* T. D. Noe, Apr 11 2012 *)

is(n)=n=vecsort(eval(Vec(Str(n))));vecsort(apply(k->sum(i=1, #n,n[i]==k),vecsort(n,,8)))==[1,2,3] \\ Charles R Greathouse IV, Apr 11 2012

A182092 Primes in A182040.

Original entry on oeis.org

100019, 100103, 100109, 100151, 100333, 100411, 100501, 100511, 100801, 100811, 100999, 101009, 101021, 101051, 101081, 101107, 101221, 101333, 101501, 101701, 101771, 101999, 102001, 102101, 102121, 103001, 106661, 107077, 107101, 107171, 107717, 108011

Offset: 1

Jonathan Vos Post, Apr 11 2012

Primes whose decimal representation consists of three distinct digits, one appearing once, one appearing twice, and one appearing three times.
There are 3640 terms.
The subsequence of emirps begins 100411, since 114001  is prime; 100511, since 115001 is prime; 100999, since 999101 is prime;  101333, since 333101 is prime; 101701, since 107101 is prime; 101999, since 999101 is prime.

Jason Kimberley, Table of n, a(n) for n = 1..3640 (complete sequence)

Cf. A000040, A182040, A182051 (primes with a majority of one digit).

A182092 := func;
[n:n in[10^5..10^6]|A182092(n)]; // Jason Kimberley, Nov 02 2012

A000040 INTERSECTION A182040.

A216203 Smallest prime that does not divide at least one n-digit zeroless pandigital number.

Original entry on oeis.org

44449, 900001, 7000003, 20000003, 30000001, 100000007, 500000003, 1000000007, 6000000001

Offset: 9

Arkadiusz Wesolowski, Mar 12 2013

How many first terms are in A182051?

The analogous sequence for pandigital numbers is A228253. - Giovanni Resta, Aug 19 2013

Carlos Rivera, Puzzle 259
Eric Weisstein's World of Mathematics, Pandigital Number

Cf. A164968, A182051.

lst = Times @@ Union[FromDigits@# & /@ Permutations@Range[9]]; n = 1; While[True, p = Prime[n]; If[! Divisible[lst, p], Print[p]; Break[]]; n++]

a(11)-a(16) from Giovanni Resta, Mar 12 2013

a(17) from Giovanni Resta, Mar 13 2013

A228253 Smallest prime that does not divide at least one n-digit pandigital number.

Original entry on oeis.org

111119, 4999999, 66666667, 666666667, 9000100009, 66666666667

Offset: 10

Giovanni Resta and Arkadiusz Wesolowski, Aug 19 2013

G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 111119
Carlos Rivera, Puzzle 259
Eric Weisstein's World of Mathematics, Pandigital Number

Cf. A182051, A216203.

cp's OEIS Frontend

A182040 Integers whose decimal representation consists of three distinct digits, one appearing once, one appearing twice, and one appearing three times.

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A182092 Primes in A182040.

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A216203 Smallest prime that does not divide at least one n-digit zeroless pandigital number.

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A228253 Smallest prime that does not divide at least one n-digit pandigital number.

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