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

Author

Daniel Lignon, Oct 19 2018

Keywords

• nonn
• base
• fini
• full

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.

Examples

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

Crossrefs

Subsequence of A071062.

Cf. A320726 (the same for composite numbers).

Programs

Mathematica

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