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 A320725 Prime numbers such that all other numbers obtained from all permutations of all subsets of the digits are nonprime. 1
 2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 6469 (list; graph; refs; listen; history; text; internal format)
 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 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

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Last modified April 18 10:55 EDT 2019. Contains 322209 sequences. (Running on oeis4.)