A211771 Nonprime numbers with distinct digits in ascending order.

1, 4, 6, 8, 9, 12, 14, 15, 16, 18, 24, 25, 26, 27, 28, 34, 35, 36, 38, 39, 45, 46, 48, 49, 56, 57, 58, 68, 69, 78, 123, 124, 125, 126, 128, 129, 134, 135, 136, 138, 145, 146, 147, 148, 156, 158, 159, 168, 169, 178, 189, 234, 235, 236, 237, 238, 245, 246, 247

Offset: 1

Author

Jaroslav Krizek, May 07 2012

Keywords

• nonn
• base
• fini

Comments

Sequence is finite with 411 terms, last term is a(411) = 123456789.

Complement of A052015 with respect to A009993. Supersequence of A211772.

Links

• Jaroslav Krizek, Table of n, a(n) for n = 1..411 (complete list)

Crossrefs

Cf. A052015 (primes with distinct digits in ascending order), A009993 (numbers with distinct digits in ascending order), A211772 (nonprime numbers all of whose divisors are numbers whose decimal digits are in ascending order).

Programs

Mathematica

nnddQ[n_]:=!PrimeQ[n]&&Max[DigitCount[n]]<2&&Min[Differences[ IntegerDigits[ n]]]>0; Select[Range[300],nnddQ] (* Harvey P. Dale, Sep 27 2020 *)

Formula

A178788(a(n)) = 1.