A172435 Partial sums of circular primes A016114.

2, 5, 10, 17, 28, 41, 58, 95, 174, 287, 484, 683, 1020, 2213, 5992, 17931, 37868, 231807, 431740, 1111111111111542851, 11112222222222222653962

Offset

1,1

Comments

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?

Links

Table of n, a(n) for n=1..21.

Example

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

Crossrefs

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

Sequence in context: A301273 A007504 A172059 * A049688 A011894 A172512

Adjacent sequences: A172432 A172433 A172434 * A172436 A172437 A172438

Keyword

base,more,nonn

Author

Jonathan Vos Post, Feb 02 2010

Status

approved