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Partial sum of tetradic primes (A068188).
0

%I #7 Mar 31 2012 10:26:44

%S 11,112,293,18474,1026475,2207286,4088167,5970048,106081049,206969050,

%T 315070851,425181862,536191973,647373084,766191895,946292976,

%U 1127404157,1309292338,1497303219,1686192100,11694372101,21776190102

%N Partial sum of tetradic primes (A068188).

%C Tetradic primes are primes that are palindromes and use only the digits 0, 1 and 8, so they read the same backwards and upside down. a(1) = 11, a(3) = 293 and a(21) = 11694372101 are primes.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TetradicNumber.html">Tetradic Number</a>.

%F a(n) = SUM[i=1..n] A068188(i). a(n) = SUM[i=1..n] {A006072(k) such that A006072(k) is in A000040}.

%e a(21) = 11 + 101 + 181 + 18181 + 1008001 + 1180811 + 1880881 + 1881881 + 100111001 + 100888001 + 108101801 + 110111011 + 111010111 + 111181111 + 118818811 + 180101081 + 181111181 + 181888181 + 188010881 + 188888881 + 10008180001 = 11694372101.

%Y Cf. A000040, A006072, A068188.

%K base,easy,nonn,less

%O 1,1

%A _Jonathan Vos Post_, Jun 16 2006

%E Corrected by _Jens Kruse Andersen_, Apr 27 2010