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Partial sums of circular primes A016114.
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%I #6 Jul 11 2015 16:15:36

%S 2,5,10,17,28,41,58,95,174,287,484,683,1020,2213,5992,17931,37868,

%T 231807,431740,1111111111111542851,11112222222222222653962

%N Partial sums of circular primes A016114.

%C Circular primes are a generalization of palindromatic primes (A002385): numbers which remain prime under cyclic shifts of digits. 484 is the first square partial sum of circular primes. The subsequence of prime partial sums of circular primes begins: 2, 5, 17, 41, 683, 2213. The subsubsequence of circular prime partial sums of circular primes begins 2, 5, 17, and what is the next? What are the analogs in other bases?

%e a(21) = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 37 + 79 + 113 + 197 + 199 + 337 + 1193 + 3779 + 11939 + 19937 + 193939 + 199933 + 1111111111111111111 + 11111111111111111111111.

%Y Cf. A000040, A002385, A004023, A003459, A016114, A045978, A068652.

%K base,more,nonn

%O 1,1

%A _Jonathan Vos Post_, Feb 02 2010