A243364 Primes whose reverse concatenation of divisors (A176558) contains all the digits 1-9 exactly once; the number of digits 0 is arbitrary (in base 10).

23456789, 23458679, 23459687, 23465789, 23465987, 23469587, 23475869, 23478569, 23489657, 23495867, 23496587, 23498567, 23546879, 23546987, 23548697, 23564897, 23564987, 23567849, 23569487, 23576489, 23584679, 23587649, 23589647, 23594687, 23645879, 23645987

Offset

1,1

Comments

Sequence differs from A160402; a(n) = A160402(n) for first 3098 terms, a(3099) = 203457869.

Subsequence of A243362. Supersequence of A160402 and A243363.

Primes p such that A243361(p) = 123456789.

Conjecture: sequence is infinite.

Links

Table of n, a(n) for n=1..26.

Formula

a(1) ... a(3098) = A160402; a(3099) ... a(22656) = A243363; ...

Example

Prime 200000000003456789 is in sequence because A176558(200000000003456789) = 2000000000034567891; each digit 1 - 9 appears exactly once.

Crossrefs

Cf. A160402, A243360, A243361, A243362, A243363.

Sequence in context: A236366 A097617 A160402 * A104951 A235971 A187551

Adjacent sequences: A243361 A243362 A243363 * A243365 A243366 A243367

Keyword

nonn,base

Author

Jaroslav Krizek, Jun 04 2014

Status

approved