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A173029 Partial sums of naughty primes A164968. 0
10007, 20016, 60025, 130026, 200029, 270038, 360039, 450046, 550049, 750052, 950061, 1250068, 1650077, 2150086, 2850087, 3750088, 4650095, 5650098, 6650131, 7650168, 8650207, 9650288, 10650387, 11650690, 12651093, 13651502, 14652009, 15652618, 16653525 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The subsequence of prime partial sums of naughty primes begins: 10007, 200029, 550049, 6650131. The subsubsequence of naughty prime partial sums of naughty primes begins: 10007, and then what? The smallest square in the sequence is 60025 = 5^2 * 7^4.

LINKS

Table of n, a(n) for n=1..29.

FORMULA

a(n) = SUM[i=1..n] {p such that p is prime and the number of zeros in the decimal representation of p is greater than the number of all other digits}.

EXAMPLE

a(24) = 10007 + 10009 + 40009 + 70001 + 70003 + 70009 + 90001 + 90007 + 100003 + 200003 + 200009 + 300007 + 400009 + 500009 + 700001 + 900001 + 900007 + 1000003 + 1000033 + 1000037 + 1000039 + 1000081 + 1000099 + 1000303.

MATHEMATICA

Accumulate[Select[Prime[Range[100000]], DigitCount[#, 10, 0]> IntegerLength[ #]/2&]] (* Harvey P. Dale, Jun 09 2015 *)

CROSSREFS

Cf. A000040, A164968.

Sequence in context: A165296 A182697 A101442 * A256838 A176931 A023335

Adjacent sequences:  A173026 A173027 A173028 * A173030 A173031 A173032

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post, Feb 07 2010

EXTENSIONS

Corrected and extended by Harvey P. Dale, Jun 09 2015

STATUS

approved

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Last modified January 19 22:02 EST 2018. Contains 297938 sequences.