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Partial sums of A050288.
0

%I #2 Mar 30 2012 18:40:50

%S 10123457689,20246923478,30370389375,40493875054,50617360823,

%T 60740857680,70864405549,80987954228,91111523175,101235101824

%N Partial sums of A050288.

%C Partial sums of (base 10) Pandigital primes. Note that almost all primes are pandigital. a(59) is (after the first value) the first prime in this sequence. What is the smallest pandigital prime partial sum of (base 10) pandigital primes? In other bases?

%F a(n) = SUM[i=1..n] A050288(i) = SUM[i=1..n] {p is prime and p, base 10, has all 10 digits in its decimal representation, digits may appear multiple times}.

%e The least prime after a(1) is a(59) = 10123457689 + 10123465789 + 10123465897 + 10123485679 + 10123485769 + 10123496857 + 10123547869 + 10123548679 + 10123568947 + 10123578649 + 10123586947 + 10123598467 + 10123654789 + 10123684759 + 10123685749 + 10123694857 + 10123746859 + 10123784569 + 10123846597 + 10123849657 + 10123854679 + 10123876549 + 10123945687 + 10123956487 + 10123965847 + 10123984657 + 10124356789 + 10124358697 + 10124365879 + 10124365987 + 10124369587 + 10124378569 + 10124385967 + 10124389567 + 10124395867 + 10124398657 + 10124536789 + 10124538769 + 10124563789 + 10124563879 + 10124563987 + 10124568793 + 10124576893 + 10124578693 + 10124579863 + 10124583967 + 10124586397 + 10124589637 + 10124593867 + 10124596873 + 10124597683 + 10124635879 + 10124635897 + 10124638759 + 10124659873 + 10124673859 + 10124678953 + 10124683759 + 10124685379 = 597325496783 is prime.

%Y Cf. A000040, A050288, A050290.

%K base,easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Feb 08 2010

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