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A173060 Partial sums of A024785. 0

%I #2 Mar 30 2012 18:40:51

%S 2,5,10,17,30,47,70,107,150,197,250,317,390,473,570,683,820,987,1160,

%T 1357,1580,1863,2176,2493,2830,3177,3530,3897,4270,4653,5050,5493,

%U 5960,6483,7030,7643,8260,8903,9550,10203,10876,11559,12302,13075,13872

%N Partial sums of A024785.

%C Partial sums of left-truncatable primes. This sequence has 4260 terms. The subsequence of prime partial sums of left-truncatable primes begins 2, 5, 17, 47, 107, 197, 317, 683, 7643. The subsubsequence of left-truncatable prime partial sums of left-truncatable primes begins 2, 5, 197, 317.

%F a(n) = SUM[i=1..n] A024785(i) = SUM[i=1..n] {p prime, and every suffix of p in decimal expansion is prime, and no digits are zero}.

%e a(57) = 2 + 3 + 5 + 7 + 13 + 17 + 23 + 37 + 43 + 47 + 53 + 67 + 73 + 83 + 97 + 113 + 137 + 167 + 173 + 197 + 223 + 283 + 313 + 317 + 337 + 347 + 353 + 367 + 373 + 383 + 397 + 443 + 467 + 523 + 547 + 613 + 617 + 643 + 647 + 653 + 673 + 683 + 743 + 773 + 797 + 823 + 853 + 883 + 937 + 947 + 953 + 967 + 983 + 997 + 1223 + 1283 + 1367.

%Y Cf. A000040, A024770 (right-truncatable primes), A024785, A033664, A032437, A020994, A052023, A052024, A052025, A050986, A050987, A173057.

%K base,fini,nonn

%O 1,1

%A _Jonathan Vos Post_, Feb 08 2010

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