

A172059


Partial sums of absolute primes A003459.


0



2, 5, 10, 17, 28, 41, 58, 89, 126, 197, 270, 349, 446, 559, 690, 889, 1200, 1537, 1910, 2643, 3562, 4553, 1111111111111115664, 11112222222222222226775
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OFFSET

1,1


COMMENTS

After a(1) = 2, a(2) = 5, a(4) = 17, a(6) = 41, a(8) = 89, a(10) = 197, and a(12) = 349, which are the next primes? This sequence, which alternates between even and odd, is arbitrary as it is in base 10; what are the analogs in other bases, and the diagonal of the array of such sequences?


LINKS

Table of n, a(n) for n=1..24.


FORMULA

a(n) = SUM[i=1..n] A003459(i) = SUM[i=1..n] (ith p such that primes: every permutation of digits is a prime).


EXAMPLE

a(x) = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 31 + 37 + 71 + 73 + 79 + 97 + 113 + 131 + 199 + 311 + 337 + 373 + 733 + 919 + 991 + 1111111111111111111 + 11111111111111111111111.


CROSSREFS

Sequence in context: A174910 A301273 A007504 * A172435 A049688 A011894
Adjacent sequences: A172056 A172057 A172058 * A172060 A172061 A172062


KEYWORD

base,more,nonn


AUTHOR

Jonathan Vos Post, Jan 24 2010


STATUS

approved



