A320725 Prime numbers such that all other numbers obtained from all permutations of all subsets of the digits are nonprime.

2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 6469

Offset

1,1

Comments

Sequence is finite since it is a subsequence of a finite sequence (A071062).

This is complete: there are only 14 terms in the sequence.

Links

Table of n, a(n) for n=1..14.

Example

449 is in this sequence because it's prime and none of the numbers 4, 9, 44, 49, 94, 494 and 944 is prime.

Mathematica

Select[Prime@ Range[10^3], NoneTrue[DeleteCases[FromDigits /@ Rest@ Union@ Apply[Join, Permutations /@ Subsets@ IntegerDigits@ #], #], PrimeQ] &] (* Michael De Vlieger, Oct 22 2018 *)

Crossrefs

Subsequence of A071062.

Cf. A320726 (the same for composite numbers).

Sequence in context: A089769 A033274 A071062 * A320771 A002231 A087769

Adjacent sequences: A320722 A320723 A320724 * A320726 A320727 A320728

Keyword

nonn,base,fini,full

Author

Daniel Lignon, Oct 19 2018

Status

approved