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A086051 Nontrivial numbers which are prime, contain no zero digits and yield another prime when their digits are sorted in ascending order. 3

%I #5 Dec 14 2014 10:11:19

%S 31,71,73,97,131,173,193,197,271,293,311,317,373,397,419,439,491,547,

%T 571,593,617,647,659,673,719,727,733,739,743,751,757,761,839,919,937,

%U 941,947,953,971,983,991,1171,1213,1231,1291,1297,1321,1327,1429,1549

%N Nontrivial numbers which are prime, contain no zero digits and yield another prime when their digits are sorted in ascending order.

%C Primes with digits already in ascending order (like 13 and 2357) are trivial cases and are therefore excluded.

%H Harvey P. Dale, <a href="/A086051/b086051.txt">Table of n, a(n) for n = 1..1000</a>

%e a(1)=31 because an ascending sort of 31's digits yields 13 which is also prime. a(100)=3527 because an ascending sort of 3527's digits yields 2357 which is also prime.

%t sdaQ[n_]:=Module[{idn=IntegerDigits[n],srt},srt=Sort[idn];!MemberQ[ idn,0] &&idn!=srt&&PrimeQ[FromDigits[srt]]]; Select[Prime[Range[300]],sdaQ] (* _Harvey P. Dale_, Dec 14 2014 *)

%Y Cf. A003459, A086402.

%K base,nonn

%O 1,1

%A Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 07 2003

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Last modified April 24 19:39 EDT 2024. Contains 371963 sequences. (Running on oeis4.)