A173051 Partial sums of A050288.

10123457689, 20246923478, 30370389375, 40493875054, 50617360823, 60740857680, 70864405549, 80987954228, 91111523175, 101235101824

Offset: 1

Author

Jonathan Vos Post, Feb 08 2010

Keywords

• base
• easy
• nonn

Comments

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?

Examples

			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.
		

Crossrefs

Cf. A000040, A050288, A050290.

Formula

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}.