cp's OEIS Frontend

A241896 Increasingly ordered odd primes p(m) with p(m) = (sum of the digits of all primes p(i) in base 3 for i=1, 2, ..., m-1) + (sum of digits of m-1 in base 3).

%I A241896 #12 May 20 2014 05:03:05
%S A241896 3,5,7,11,17,29,37,695641,695687,695749,695881,699943,700199,715457,
%T A241896 883433,883451,883471,883621,992111,992357,992591,993683,1308563,
%U A241896 1309999,1310041,1310359,1310993,1313161,1314191,1314377,1317271,1324567,1326097,1326109,1326649,1760113,1760287,1766509,1766537,3173761,3204779,3204827,4539191
%N A241896 Increasingly ordered odd primes p(m) with p(m) = (sum of the digits of all primes p(i) in base 3 for i=1, 2, ..., m-1) +  (sum of digits of m-1 in base 3).
%F A241896 This is the increasingly ordered set of numbers
%F A241896   S:= {odd primes: prime(m) = sum_{i=1..m-1} A239619(i) + A053735(m-1)}.
%e A241896 prime(2) = 3  = A239619(1) + A053735(1) = 2 + 1. This is a(1) because it is the smallest odd prime from the defined set S.
%e A241896 prime(7) = 17 = sum_{i=1..6} A239619(i) + A053735(6) = (2 + 1 + 3 + 3 + 3 + 3) + 2 = 17. This is a(5) because it is the fifth smallest odd prime from the set S.
%e A241896 prime(6) = 13 is not a member of this sequence because (2 + 1 + 3 + 3 + 3) + 3 = 15 which is not equal 13, hence prime(6) is not a member of the set S.
%Y A241896 CF. A240886 (similar sequence with digit-sums), A168161 (similar sequence but in binary). A053735, A239619.
%K A241896 base,nonn
%O A241896 1,1
%A A241896 _Anthony Sand_, May 01 2014
%E A241896 Edited. - _Wolfdieter Lang_, May 19 2014