Search: id:A107845
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%I A107845
%S A107845 2,3,5,7,11,13,17,31,37,71,73,79,97,113,131,137,179,199,277,311,331,337,
%T A107845 373,379,397,419,491,577,613,733,811,877,911,919,977,991,1013,1031,1091,
%U A107845 1117,1213,1231,1579,1777,1811,1999,2113,2131,2399,2411,2677,2699,2719
%N A107845 Transposable-digit primes: Primes such that if any single pair of adjacent 
               digits is transposed the result is a prime.
%C A107845 A single transposition error (of decimal digits) when recording or communicating 
               such a prime still results in a prime (possibly the same prime). 
               A003459 and A004022 (its subsequence) are subsequences. A003459 is 
               also a subsequence of A068652.
%e A107845 137 is a term because it is prime and 173 and 317 are also prime.
%e A107845 173 is not a term because 713 is not prime (even though 173 and 137 are 
               prime). {Hence none of 137,173,317,371,713,731 is a term of A003459}.
%e A107845 3119 is a term because it is prime and 1319 and 3191 are primes.
%e A107845 As 3119, 1193, 1931 and 9311 are all prime, 3119 is also a term of A068652.
%e A107845 Finally, although 1913 is also prime, neither 1139, 1391, 3911, 9113, 
               nor 9131 is prime so 3119's twelve total permutations are not terms 
               of A003459.
%Y A107845 Cf. A003459 (absolute primes), A004022 (repunit primes), A068652 (every 
               cyclic permutation is prime).
%Y A107845 Sequence in context: A069706 A007500 A090933 this_sequence A090934 A068652 
               A003459
%Y A107845 Adjacent sequences: A107842 A107843 A107844 this_sequence A107846 A107847 
               A107848
%K A107845 base,nonn
%O A107845 0,1
%A A107845 Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 24 2005

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