This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A108389 #11 Dec 15 2023 09:00:28 %S A108389 133999337137,139779933779,173139331177,173399913979,177793993177, %T A108389 179993739971,391331737931,771319973999,917377131371,933971311913, %U A108389 997331911711,1191777377177,9311933973733,9979333919939,19979113377173,31997131171111,37137197179931,37337319113911 %N A108389 Transmutable primes with four distinct digits. %C A108389 This sequence is a subsequence of A108386 and of A108388. See the latter for the definition of transmutable primes and many more comments. Are any terms here doubly-transmutable also; i.e., terms of A108387? Palindromic too? Terms also of some other sequences cross-referenced below? a(7)=771319973999 is also a reversible prime (emirp). a(12)=9311933973733 also has the property that simultaneously removing all its 1's (93933973733), all its 3s (9119977) and all its 9s (3113373733) result in primes (but removing all 7s gives 93119339333=43*47*59*83*97^2, so a(12) is not also a term of A057876). Any additional terms have 14 or more digits. %H A108389 Michael S. Branicky, <a href="/A108389/b108389.txt">Table of n, a(n) for n = 1..1000</a> %e A108389 a(0)=133999337137 is the smallest transmutable prime with four distinct digits (1,3,7,9): %e A108389 exchanging all 1's and 3's: 133999337137 ==> 311999117317 (prime), %e A108389 exchanging all 1's and 7's: 133999337137 ==> 733999331731 (prime), %e A108389 exchanging all 1's and 9's: 133999337137 ==> 933111337937 (prime), %e A108389 exchanging all 3's and 7's: 133999337137 ==> 177999773173 (prime), %e A108389 exchanging all 3's and 9's: 133999337137 ==> 199333997197 (prime) and %e A108389 exchanging all 7's and 9's: 133999337137 ==> 133777339139 (prime). %e A108389 No smaller prime with four distinct digits transmutes into six other primes. %Y A108389 Cf. A108386 (Primes p such that p's set of distinct digits is {1, 3, 7, 9}), A108388 (transmutable primes), A083983 (transmutable primes with two distinct digits), A108387 (doubly-transmutable primes), A006567 (reversible primes), A002385 (palindromic primes), A068652 (every cyclic permutation is prime), A107845 (transposable-digit primes), A003459 (absolute primes), A057876 (droppable-digit primes). %K A108389 nonn,base %O A108389 1,1 %A A108389 _Rick L. Shepherd_, Jun 02 2005 %E A108389 a(14) and beyond from _Michael S. Branicky_, Dec 15 2023