A160402 Primes made up of all distinct digits except 0 and 1.

23456789, 23458679, 23459687, 23465789, 23465987, 23469587, 23475869, 23478569, 23489657, 23495867, 23496587, 23498567, 23546879, 23546987, 23548697, 23564897, 23564987, 23567849, 23569487, 23576489, 23584679, 23587649, 23589647, 23594687

Offset

1,1

Comments

More precisely, "primes made up of all distinct digits from 2 to 9, each occurring once." Since this restricts the number of digits to 8, the sequence is finite.

The last term of this sequence is a(3098) = 98745623. - Nathaniel Johnston, Jun 24 2011

Also numbers n such that the list of divisors of n contains all the digits 1-9 and each digit appears exactly once (in base 10). There are no composite numbers with this property. Numbers n such that A243360(n) = 987654321. - Jaroslav Krizek, Jun 19 2014

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..3098 (full sequence)

Maple

A160402:={}: p:=23456789: while p<=98765432 do d:=convert(p, base, 10): ddig:=true: for k from 0 to 9 do if((k<=1 and numboccur(k, d)>0) or (k>=2 and numboccur(k, d)<>1))then ddig:=false:break: fi: od: if(ddig)then A160402:=A160402 union {p}: fi: p:=nextprime(p): od: op(sort(convert(A160402, list))); # Nathaniel Johnston, Jun 24 2011

Prog

(Magma) [n: n in [1..100000000] | Seqint(Sort(&cat[(Intseq(k)): k in Divisors(n)])) eq 987654321] // Jaroslav Krizek, Jun 19 2014

Crossrefs

Cf. A029743, A106116. Subsequence of A074665.

Sequence in context: A252396 A236366 A097617 * A243364 A104951 A235971

Adjacent sequences: A160399 A160400 A160401 * A160403 A160404 A160405

Keyword

nonn,fini,full,base

Author

Lekraj Beedassy, May 13 2009

Extensions

Keywords "base,fini" added by R. J. Mathar, May 14 2009

Status

approved