This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A173029 #4 Jun 09 2015 12:00:12 %S A173029 10007,20016,60025,130026,200029,270038,360039,450046,550049,750052, %T A173029 950061,1250068,1650077,2150086,2850087,3750088,4650095,5650098, %U A173029 6650131,7650168,8650207,9650288,10650387,11650690,12651093,13651502,14652009,15652618,16653525 %N A173029 Partial sums of naughty primes A164968. %C A173029 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. %F A173029 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}. %e A173029 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. %t A173029 Accumulate[Select[Prime[Range[100000]],DigitCount[#,10,0]> IntegerLength[ #]/2&]] (* _Harvey P. Dale_, Jun 09 2015 *) %Y A173029 Cf. A000040, A164968. %K A173029 base,easy,nonn %O A173029 1,1 %A A173029 _Jonathan Vos Post_, Feb 07 2010 %E A173029 Corrected and extended by _Harvey P. Dale_, Jun 09 2015