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A046485 Sum of first n palindromic primes A002385. 3
2, 5, 10, 17, 28, 129, 260, 411, 592, 783, 1096, 1449, 1822, 2205, 2932, 3689, 4476, 5273, 6192, 7121, 17422, 27923, 38524, 49835, 61246, 73667, 86388, 99209, 112540, 126371, 140302, 154643, 169384, 184835, 200386, 216447, 232808, 249369, 266030, 283501 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The subsequence of prime partial sum of palindromic primes begins: 2, 5, 17, 5273, 7121, 154643, 283501. What is the smallest nontrivial (i.e. multidigit) palindromic prime partial sum of palindromic primes? [Jonathan Vos Post, Feb 07 2010]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..700

P. De Geest, World!Of Palindromic Primes

FORMULA

a(n) = SUM[i=1..n] A002385(i) = SUM[i=1..n] {p prime and R(p) = p, i.e. primes whose decimal expansion is a palindrome}. [Jonathan Vos Post, Feb 07 2010]

MATHEMATICA

t = {}; b = 10; Do[p = Prime[n]; i = IntegerDigits[p, b]; If[i == Reverse[i], AppendTo[t, p]; (*Print[p.FromDigits[i]]*)], {n, 4000}]; Accumulate[t] (* Vladimir Joseph Stephan Orlovsky, Feb 23 2012 *)

Accumulate[Select[Prime[Range[10000]], IntegerDigits[#]==Reverse[ IntegerDigits[#]]&]] (* Harvey P. Dale, Aug 10 2013 *)

CROSSREFS

Cf. A002385, A007504, A046489.

Cf. A000040, A007500, A006567, A016041, A029732, A117697. [Jonathan Vos Post, Feb 07 2010]

Sequence in context: A172982 A178137 A071602 * A294562 A109377 A109472

Adjacent sequences:  A046482 A046483 A046484 * A046486 A046487 A046488

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Sep 15 1998.

EXTENSIONS

Offset set to 1 - R. J. Mathar, Feb 21 2010

STATUS

approved

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Last modified July 20 12:30 EDT 2018. Contains 312804 sequences. (Running on oeis4.)