Search: id:A082646
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%I A082646
%S A082646 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,
%T A082646 103,107,109,127,137,139,149,157,163,167,173,179,193,197,239,241,251,
%U A082646 257,263,269,271,281,283,293,307,317,347,349,359,367,379,389,397,401
%N A082646 Primes whose decimal expansions contain equal numbers of each of their 
               digits.
%C A082646 All repunit primes (A004022) are terms. There are no terms of prime p 
               digit- length for p >= 11 unless p is a term of A004023 - in which 
               case there is exactly one such term here, the repunit prime of length 
               p. The smallest term whose digits are neither all the same nor all 
               different is 100313. No term of digit-length 10 can have digits all 
               different because such a term would be divisible by 3 (as 45, the 
               sum of its digits, would be divisible by 3).
%e A082646 The prime 101 is not a term because it contains two 1's but only one 
               0. The
%e A082646 prime 127 is a term because it has one 1, one 2 and one 7.
%Y A082646 Cf. A004022 (repunit primes), A004023 (digit lengths of repunit primes).
%Y A082646 Sequence in context: A030291 A032758 A052085 this_sequence A038618 A030475 
               A069676
%Y A082646 Adjacent sequences: A082643 A082644 A082645 this_sequence A082647 A082648 
               A082649
%K A082646 base,nonn
%O A082646 1,1
%A A082646 Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 24 2003

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